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Questions and Answers

Which of the following is the correct decimal fraction equal to hexadecimal fraction 0.248?

  • 31/32
  • 31/512
  • 31/125
  • 73/512 (correct)

Which of the following is the correct value of the quadruple of hexadecimal fraction 0.FEDC?

  • 2.FB78
  • 1.FDB8
  • F.EDC0
  • 3.FB70 (correct)

In a floating-point number format, which of the following is the correct operation for adjusting the radix point and the exponent so that the most significant digit of the mantissa can be a non-zero value? Here, an absolute value is used for the mantissa.

  • Round up
  • Normalize (correct)
  • Carry
  • Round down

The decimal value “-72” is stored in an 8-bit register using 2's complement. If the data in the register is logically shifted two bits to the right, which of the following is the correct result that is represented in decimal?

<p>46 (A)</p> Signup and view all the answers

By definition of the IEEE754 standard, 32-bit floating point numbers are represented as follows: S (1 bit) E (8 bits) M (23 bits) S: Sign bit E: Exponent M: Mantissa Which of the following is the correct “mask bits” in hexadecimal to be used for extracting only the exponent part of the above format? Here, “mask bits” means a bit pattern which is logically ANDed with the 32-bit floating point value.

<p>7F800000 (C)</p> Signup and view all the answers

In the Venn Diagrams labeled 1 to 3, which of the following is the result of Boolean “OR” operations for all three to be combined? Here, “·” is used for “logical AND,” “+” for “logical OR,” and “ A” for the “logical NOT” of A. Each set corresponding to x, y, or z is depicted by a circle X y X y X y 1 Z 2 3 Z Z

<p>xyz + x + y (A), xyz + x + y (C), xyz + x + y (D)</p> Signup and view all the answers

When you flip a coin four times, what is the probability that it will come up heads exactly twice?

<p>0.375 (B)</p> Signup and view all the answers

There are two important operations on a stack: PUSH and POP. PUSH adds the new data to the top of the stack leaving previous data below, and POP removes and returns the current top data of the stack. When the operations shown below are sequentially executed, which of the following is the correct combination of the values x and y? Here, the size of the stack is big enough to hold the entire data. “PUSH(a)” inserts the data a into the stack, and “POP(b)” removes the data b from the stack. [Operations] PUSH (5); PUSH (3); PUSH (6); PUSH (1); x = POP ( ); PUSH (7); y = POP ( );

<p>x = 5, y = 7 (B)</p> Signup and view all the answers

Reverse Polish Notation (RPN) is used to represent arithmetic expressions without using brackets to define priorities for evaluation of operators. For example, 3x(a+b) becomes 3ab+x in RPN. Which of the following is the best data structure that should be used for implementation of RPN in a computer?

<p>Stack (D)</p> Signup and view all the answers

Which of the following is an appropriate description concerning the list and/or array structures?

<p>Using a subscript for each element in an array, quick access to any element can be achieved. The array structure allows any data to be inserted or deleted simply by modifying pointers. (A)</p> Signup and view all the answers

The table below shows a state transition table that checks the input character string. This check starts from the initial state A, and it fails if the state changes to E during the input of the character string. Which of the character strings in the answer group fails this check? Here, the symbol A in the answer group represents a space. Input character Space Numeric Sign Radix point Other A A B C D E B A B E D E C E B E D E D A E E E E

<p>12.2 (A)</p> Signup and view all the answers

There are two jugs; one is a 4-liter (4L) jug and the other is a 3-liter (3L) jug. Which of the following is the correct sequence to obtain exactly 2 liters of water in the 4L jug under the conditions shown below? Here, (x, y) indicates that the 4L jug contains x liters of water and the 3L jug has y liters of water. [Conditions] You can use only the 3L and 4L jugs. You are allowed to fill up or empty either jug. You are allowed to pour water from one jug to the other. The jugs have no scale marks. There is an ample supply of water.

<p>(0,0)→(0,3)→(3,3)→(3,0)→(4,2)→(0,2) → ( (2,0) (A)</p> Signup and view all the answers

Which of the following is the correct result produced by executing the program shown below? Here, the parameter “x” is called by value, and the parameter “y” is called by reference. Main Program Subprogram sub(x, y) a = 2; x = x + y; b = 3; y = x + y; sub(b, a); return;

<p>a = 7, b = 3 (B)</p> Signup and view all the answers

The “prime number division remainder” method is a well-known hashing algorithm. In this method, a key value is divided by a number N, and the remainder which is also called a hash value is used directly as an index into the hash table. Nis the largest prime number less than or equal to the size of the available addressable spaces. When the 20 addressable spaces are available, which of the following is the correct hash value calculated from the key value 136? Here, a prime number is one that cannot be divided evenly by any other number except one (1). 2, 3, 5, 7, 11, and 13 are the first few prime numbers.

<p>3 (B)</p> Signup and view all the answers

In a certain computer, a bubble sort of an array of 200 data elements takes the same time as a quick sort of the array. In case of an array of 40,000 data elements, how many times faster is a quick sort than a bubble sort? Here, a bubble sort and a quick sort take time proportional to n² and n×log2n respectively, and “n” is the number of data elements.

<p>100 (D)</p> Signup and view all the answers

Integers are stored in the 1st to N-th elements of an array A (N>1). The flowchart below shows the process to check which element of the array contains the same value as X. Which of the following correctly describes the execution result of this process? Start 1->k >: k: N <= = X: A(k) ≠ k+1->k End

<p>If the same value as X is not in the array, k is set to 1. (B)</p> Signup and view all the answers

Which of the following is a re-writable, erasable memory, using electrical signals, which is widely used for various devices such as digital cameras and digital music players and can maintain the data even after the power is turned off?

<p>Flash memory (A)</p> Signup and view all the answers

The figure shows an RS flip-flop using two NOR gates. Which of the following is the correct truth table for the flip-flop? Here, “unchanged” shown in the table means the outputs maintain a previous state, and “unstable” means the outputs are in an unstable state. R Ω S

<p>Inputs Outputs S R Ω Ω 0 0 unstable 0 1 1 0 1 0 0 1 0 1 1 1 unchanged 1 1 unchanged (C)</p> Signup and view all the answers

Which of the following is the correct combination of various addressing modes? Here, X1 is an address which is stored in a program counter. X2 is an address part of an instruction which is addressed by X1. X3 is an address in which an operand needed to execute an instruction is stored. X4 is a value in an index register. (X2) means the contents of location X2. Addressing mode PC (Program Counter)-relative Direct Indirect Indexed a) X3 = X2 X3 = X2+X4 X3 = (X2) X3 = X1+X2 b) X3 = X2 X3 = (X2) X3 = X1+X2 X3 = X2+X4 c) X3 = X2 X3 = (X2) X3 = X2+X4 X3 = X1+X2 d) X3 = (X2) X3 = X2 X3 = X1+X2 X3 = X2+X4

<p>X3 = X2 X3 = (X2) X3 = X2+X4 X3 = X1+X2 (B)</p> Signup and view all the answers

A computer is designed to enable pipeline control so that each instruction can be completed in five cycles. How many cycles are needed to execute 20 instructions? Here, all instructions can be executed without being stopped halfway.

<p>24 (C)</p> Signup and view all the answers

Which of the following is an appropriate statement in regard to interrupts?

<p>When the CPU accepts an interrupt, it stops the program currently being executed and stores the information needed to restart the program in the designated area of the hard disk. (A)</p> Signup and view all the answers

What range of decimal numbers can be represented with an 11-bit two's-complement number?

<p>-2048 to 2047 (D)</p> Signup and view all the answers

Which of the following decimal fractions becomes a finite fraction in an octal representation?

<p>0.5 (D)</p> Signup and view all the answers

Flashcards

What is the decimal equivalent of hexadecimal fraction 0.248?

The hexadecimal fraction 0.248 is equivalent to the decimal fraction 31/512.

What is the quadruple of hexadecimal fraction 0.FEDC?

The quadruple of hexadecimal fraction 0.FEDC is 3.FB70.

What is the process of adjusting the radix point and exponent in a floating-point number?

Normalizing a floating-point number involves adjusting the radix point and exponent so that the most significant digit of the mantissa is non-zero. This ensures a consistent representation, which is important for arithmetic operations.

What happens to a decimal value when logically shifted right twice in 2's complement?

Logically shifting a value right in 2's complement by 2 bits is equivalent to dividing the value by 4. Therefore, -72 shifted right twice becomes -18.

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What is the hexadecimal mask to extract only the exponent part of a 32-bit floating-point number?

The hexadecimal mask to extract the exponent part of a 32-bit floating-point number is 7F800000. This mask will set the sign bit and mantissa to 0, leaving only the exponent bits.

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What is the combined result of the Boolean OR operation on three Venn Diagrams?

The combined result of the Boolean OR operation on three Venn Diagrams is x y z + x + y. This represents the union of all the sets within the diagrams.

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What is the probability of getting exactly two heads in four coin flips?

The probability of getting exactly 2 heads in four coin flips is 0.375 (3/8).

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What are the final values of x and y after a series of stack operations?

The final values of x and y are: x = 1, y = 7. The stack operates on a LIFO (Last In First Out) basis.

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Which data structure is best suited for implementing Reverse Polish Notation (RPN)?

A stack is the most suitable data structure for implementing RPN. It uses a LIFO approach which mirrors the evaluation process in RPN.

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What is the difference between a list and an array?

Lists and arrays are data structures that store data sequentially. Both support access to elements based on their position. However, in a list, the logical arrangement of elements is not necessarily the same as the physical arrangement, allowing for dynamic resizing. In contrast, arrays have a fixed size and a direct relationship between the logical and physical arrangement.

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What is the character string that fails the state transition table?

The character string "-" fails the state transition table. The input of a sign character in state B transitions to state E, which signifies failure.

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What is the correct sequence of operations to obtain 2 liters of water in the 4-liter jug?

The correct sequence of operations to obtain 2 liters of water in the 4-liter jug is: (0,0) -> (0,3) -> (3,0) -> (3,3) -> (4,2) -> (0,2) -> (2,0). The key to this puzzle is to repeatedly fill, empty, and transfer water between the jugs.

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What are the final values of a and b after calling the subprogram?

The final values of a and b after calling the subprogram are a = 2, b = 5. The subprogram modifies the value passed by reference (y), but not the value passed by value (x).

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What is the hash value for key value 136 in the prime number division remainder method?

The hash value for key value 136 is 16. The largest prime number less than or equal to 20 (the number of addressable spaces) is 19. Dividing 136 by 19, we get a remainder of 16.

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How many times faster is quick sort than bubble sort for an array of 40,000 elements?

Quick sort is 50 times faster than bubble sort for an array of 40,000 elements. The time complexity of bubble sort is O(n^2), while the time complexity of quick sort is O(n log n).

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What is the final value of index k after checking if a value exists in an array?

The final value of index k depends on the presence of the value in the array. If the value is found, k will be assigned the index of the element containing the value. If the value is not found at the end of the array, k will be assigned the value N.

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What type of memory is re-writable, erasable, and used in digital cameras and music players?

Flash memory is a type of memory that is re-writable, erasable, and widely used in various devices such as digital cameras and music players. It holds data even after the power is turned off.

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What is the correct truth table for an RS flip-flop constructed from NOR gates?

The correct truth table for an RS flip-flop constructed from NOR gates is:Inputs | Outputs---|---|S | R | Q | Q'---|---|---|---|0 | 0 | Unchanged | Unchanged0 | 1 | 0 | 11 | 0 | 1 | 01 | 1 | Unstable | Unstable

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What are the different addressing modes?

Different addressing modes provide ways to determine the address of an operand:* Direct: The address is directly specified within the instruction.* Indirect: The instruction contains the address of another memory location, which in turn stores the actual address of the operand.* Indexed: An offset (index) is added to a base address to calculate the operand address.* PC-relative: The operand address is calculated relative to the current program counter (PC) value.

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How many cycles are needed to execute 20 instructions in a 5-cycle pipeline?

25 cycles are needed to execute 20 instructions in a 5-cycle pipeline. Once the pipeline is full, one instruction completes every cycle.

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What is the role of interrupts in a computer system?

Interrupts are events that cause the CPU to temporarily interrupt its current task to handle a special request. They are classified as either internal (caused by events within the CPU) or external (caused by I/O devices). Interrupts allow the computer to respond to events in real-time, such as I/O completion or system errors.

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What is the final state of the state machine after a sequence of JK inputs, starting from state C?

The final state of the state machine after the JK inputs 01, 01, 00, 11, starting from state C, is D.

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What is the Boolean equation for output Z in the 4-to-2 encoder?

The Boolean equation for output Z in the 4-to-2 encoder is Z = B D + C D. This equation combines the inputs that result in Z being 1.

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What are the JK input sequences that produce the state transition CABDD, starting from state C?

The JK input sequences that produce the state transition CABDD are 11, 00, 10, 00, 11, 00.

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What is the decimal range of an 11-bit two's complement number?

An 11-bit two's complement number can represent values from -2^10 to 2^10 - 1, which is -1024 to 1023.

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Which decimal fraction becomes a finite octal fraction?

The decimal fraction 0.5 becomes a finite octal fraction (0.4). This occurs because 5 is a factor of 8 (the base of the octal system).

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What equation relates a binary number pattern to its decimal value?

The equation x + (x/2) = 2^(2n) - 1 relates the decimal value 'x' of a binary number '1010...10' (n times) to the number of digits 'n'.

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How much larger is the result after left-shifting and adding a binary number?

Shifting a binary number 'm' left by three bits is equivalent to multiplying it by 8. Adding 'm' to this shifted value makes the result 9 times larger than 'm'.

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What is the main reason for using complement representation in computers?

Complement representation simplifies subtraction circuits by allowing it to be performed using addition. This reduces hardware complexity.

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What is the key feature of Newton's method for finding function roots?

Newton's method uses tangent lines of the function's graph to approximate its root. It iteratively refines the approximation until convergence.

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What is a valid Customer Account Number (CAN)?

A valid CAN is a four-digit number N1N2N3C where C = (N13 + N25 + N37) mod 10. For instance, 9690 is a valid CAN because (93 + 65 + 97) mod 10 = 0.

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What is the probability of Player Y winning in a dice game?

The probability of Player Y winning in a dice game where X wins on sums of 2, 4, or 6 is 3/4. This is because there are 36 possible outcomes when rolling two dice, and X only wins in 6 of these cases.

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How many students are not taking computer science or math?

Out of 1900 students, 680 are not taking either computer science or mathematics. This is calculated by subtracting the total number of students taking at least one subject from the total number of students.

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What is the simplified form of the given logical expression?

The logical expression A B + B C (B + C) is equivalent to A C + B. This simplification is based on the distributive property of logical OR.

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What are the character codes with even parity added?

The character codes with even parity added are: B0, BF, FA. The parity bit is set so that the total number of 1 bits in each code (including the parity bit) is even.

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What data structure uses a LIFO method?

A stack uses the Last In First Out (LIFO) method to manage data. The last element added to the stack is the first one removed.

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What is the decimal equivalent of hexadecimal fraction 2A.4C?

The decimal equivalent of hexadecimal fraction 2A.4C is 42.3046875. It's calculated by converting each digit to its decimal equivalent and considering their positional values.

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In what radix does the equation 131 - 45 = 53 hold?

The equation 131 - 45 = 53 holds in radix 7. This is because the value of each digit place corresponds to a power of 7.

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What is the range of integers expressible in n-bit two's complement?

An n-bit two's complement representation can express integers from -(2^(n-1)) to (2^(n-1)) - 1. The most significant bit (MSB) represents the sign.

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What range of values keeps a loop running?

To keep a loop running, the variable 'X' must be within the range of 1 through 10 (inclusive). This means X should be greater than or equal to 1 and less than or equal to 10.

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What is the equivalent expression for the given logical operation?

The logical operation 'x # y' is equivalent to (NOT x) OR (NOT y). This can be determined by analyzing the truth table and finding a combination of logical operations that produces the same results.

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What is the check digit calculation for Customer Account Numbers?

The check digit 'C' for a CAN N1N2N3C is calculated as C = (N13 + N25 + N3*7) mod 10. This ensures the validity of the CAN by using a weighted sum of the first three digits.

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What is the probability of a coin landing on heads exactly once in three tosses?

The probability of a coin landing on heads exactly once in three tosses is 0.375 (3/8). This can be calculated by considering all possible outcomes (HHH, HHT, HTH, THH, HTT, THT, TTH, TTT) and counting those with one head.

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How is the hash function used for page-based address translation?

The hash function calculates an index for the page table based on the logical page number. The index is used to access the corresponding physical page number, which maps the logical address to the physical memory location.

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What is the result of converting a binary tree into a max heap?

Converting a binary tree into a max heap involves rearranging the nodes so that the value of each parent node is greater than or equal to the values of its children. The resulting heap has its largest element at the root.

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How does the program fragment manage a linked list?

The program fragment adds a new element with value VALUE(J) to a linked list. It sets the LINK(J) to point to the successor of the element, which is the original head of the list. This effectively inserts the new element at the beginning of the list.

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What Mealy machine transition is NOT possible?

The transition S0 → S2 → S2 → S1 → S2 → S2 is not possible in the given Mealy machine state diagram. There is no direct transition from S2 to itself.

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What is the value of the postfix formula 5 1 – 3 * 3 1 – 2 / *?

The value of postfix formula 5 1 – 3 * 3 1 – 2 / * is 3. It's evaluated by performing operations from left to right, using a stack.

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How many arrangements can be made with 5 white and 5 green balls?

There are 57,600 arrangements possible with 5 white and 5 green balls in a line ensuring adjacent balls are different colors. This is calculated as 10!/(5!5!), using the formula for permutations with repetition.

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Which of the following is the correct decimal fraction equal to hexadecimal fraction 0.248?

The correct decimal fraction equal to hexadecimal fraction 0.248 is 31/512.

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Which of the following is the correct value of the quadruple of hexadecimal fraction 0.FEDC?

The correct value of the quadruple of hexadecimal fraction 0.FEDC is 3.FB70.

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In a floating-point number format, which of the following is the correct operation for adjusting the radix point and the exponent so that the most significant digit of the mantissa can be a non-zero value?

The correct operation for adjusting the radix point and the exponent in a floating-point number format is normalization.

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The decimal value “-72” is stored in an 8-bit register using 2’s complement. If the data in the register is logically shifted two bits to the right, which of the following is the correct result that is represented in decimal?

The correct result is -18.

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By definition of the IEEE754 standard, 32-bit floating point numbers are represented as follows:S (1 bit) E (8 bits) M (23 bits)S: Sign bitE: ExponentM: MantissaWhich of the following is the correct “mask bits” in hexadecimal to be used for extracting only the exponent part of the above format? Here, “mask bits” means a bit pattern which is logically ANDed with the 32-bit floating point value.

The correct mask bits are 7F800000.

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In the Venn Diagrams labeled 1 to 3, which of the following is the result of Boolean “OR” operations for all three to be combined? Here, “ ” is used for “logical AND,” “+” for “logical OR,” and “ A ” for the “logical NOT” of A. Each set corresponding to x, y, or z is depicted by a circle

The result of the Boolean OR operations for all three Venn Diagrams is x y z + x + y.

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When you flip a coin four times, what is the probability that it will come up heads exactly twice?

The probability of getting exactly two heads in four coin flips is 0.375 (3/8).

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There are two important operations on a stack: PUSH and POP. PUSH adds the new data to the top of the stack leaving previous data below, and POP removes and returns the current top data of the stack. When the operations shown below are sequentially executed, which of the following is the correct combination of the values x and y?Here, the size of the stack is big enough to hold the entire data. “PUSH(a)” inserts the data a into the stack, and “POP(b)” removes the data b from the stack.

The correct combination of the values x and y is x = 1, y = 7.

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Reverse Polish Notation (RPN) is used to represent arithmetic expressions without using brackets to define priorities for evaluation of operators. For example, 3(a+b) becomes 3ab+ in RPN. Which of the following is the best data structure that should be used for implementation of RPN in a computer?

The best data structure for implementing RPN is a stack.

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Which of the following is an appropriate description concerning the list and/or array structures?

The correct description is: Using a subscript for each element in an array, quick access to any element can be achieved. The array structure allows any data to be inserted or deleted simply by modifying pointers.

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The table below shows a state transition table that checks the input character string. This check starts from the initial state A, and it fails if the state changes to E during the input of the character string. Which of the character strings in the answer group fails this check?Here, the symbol  in the answer group represents a space.

The character string that fails the check is '-'.

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There are two jugs; one is a 4-liter (4L) jug and the other is a 3-liter (3L) jug. Which of the following is the correct sequence to obtain exactly 2 liters of water in the 4L jug under the conditions shown below?Here, (x, y) indicates that the 4L jug contains x liters of water and the 3L jug has y liters of water.

The correct sequence to obtain exactly 2 liters of water in the 4L jug is: (0,0) → (0,3) → (3,0) → (3,3) → (4,2) → (0,2) → (2,0).

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Which of the following is the correct result produced by executing the program shown below? Here, the parameter “x” is called by value, and the parameter “y” is called by reference.

The correct result is a = 2, b = 5.

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The “prime number division remainder” method is a well-known hashing algorithm. In this method, a key value is divided by a number N, and the remainder which is also called a hash value is used directly as an index into the hash table. N is the largest prime number less than or equal to the size of the available addressable spaces. When the 20 addressable spaces are available, which of the following is the correct hash value calculated from the key value 136? Here, a prime number is one that cannot be divided evenly by any other number except one (1). 2, 3, 5, 7, 11, and 13 are the first few prime numbers.

The correct hash value for key value 136 is 16.

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In a certain computer, a bubble sort of an array of 200 data elements takes the same time as a quick sort of the array. In case of an array of 40,000 data elements, how many times faster is a quick sort than a bubble sort? Here, a bubble sort and a quick sort take time proportional to n2 and nlog2n respectively, and “n” is the number of data elements.

Quick sort is 50 times faster than bubble sort for an array of 40,000 data elements.

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Integers are stored in the 1st to N-th elements of an array A (N >1). The flowchart below shows the process to check which element of the array contains the same value as X. Which of the following correctly describes the execution result of this process?

The correct description is: If the same value as X is not in the array, k is set to N.

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Which of the following is a re-writable, erasable memory, using electrical signals, which is widely used for various devices such as digital cameras and digital music players and can maintain the data even after the power is turned off?

The correct answer is Flash memory.

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The figure shows an RS flip-flop using two NOR gates. Which of the following is the correct truth table for the flip-flop? Here, “unchanged” shown in the table means the outputs maintain a previous state, and “unstable” means the outputs are in an unstable state.

The correct truth table for the RS flip-flop is:Inputs | Outputs---|---|S | R | Q | Q'---|---|---|---|0 | 0 | Unchanged | Unchanged0 | 1 | 0 | 11 | 0 | 1 | 01 | 1 | Unstable | Unstable

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Which of the following is the correct combination of various addressing modes? Here, X1 is an address which is stored in a program counter. X2 is an address part of an instruction which is addressed by X1. X3 is an address in which an operand needed to execute an instruction is stored. X4 is a value in an index register. (X2) means the contents of location X2.

The correct combination of addressing modes is:Addressing | PC (Program Counter)-relative | Direct | Indirect | Indexed---|---|---|---|---|a) | X3 = X1+X2 | X3 = X2 | X3 = (X2) | X3 = X2+X4

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A computer is designed to enable pipeline control so that each instruction can be completed in five cycles. How many cycles are needed to execute 20 instructions? Here, all instructions can be executed without being stopped halfway.

25 cycles are needed to execute 20 instructions in a 5-cycle pipeline.

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Which of the following is an appropriate statement in regard to interrupts?

The correct statement is: A priority is individually assigned to the cause of an interrupt in preparation for the occurrence of multiple interrupts.

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