Binary and Hexadecimal Number Systems

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Questions and Answers

What is a characteristic of low-level languages?

  • They are directly executable on computing hardware. (correct)
  • They are designed to be user-friendly.
  • They offer high levels of abstraction.
  • They are primarily used for web development.

Which phase of a compiler involves reading characters from the source code?

  • Lexical Analysis
  • Scanning (correct)
  • Code Generation
  • Syntactic Analysis

What role do tokens play in the compilation process?

  • Tokens are the groups of characters recognized by the lexical analyzer. (correct)
  • Tokens form the final executable code.
  • Tokens are used to define variables in the source code.
  • Tokens represent the translated machine language.

What is another term for the syntactic analysis phase?

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

Which of the following correctly describes assembly language?

<p>It uses mnemonics that are easily translated into machine language. (A)</p> Signup and view all the answers

What does the lexical analyzer utilize to store words from the source code?

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

Why are low-level languages considered difficult to use?

<p>They require detailed knowledge of internal computer architecture. (C)</p> Signup and view all the answers

How does the compiler check the arrangement of tokens?

<p>Through syntactic analysis. (A)</p> Signup and view all the answers

What is the base of the binary number system?

<p>2 (A)</p> Signup and view all the answers

Which operation is primarily involved in 1's complement?

<p>Inversion of bits (B)</p> Signup and view all the answers

What does the most significant bit (MSB) indicate in a 2's complement representation?

<p>The sign of the value (D)</p> Signup and view all the answers

Which statement accurately describes the 2's complement process?

<p>Involves inversion and addition of 1 to the LSB (C)</p> Signup and view all the answers

In the 1's complement of the binary number 1001 0011, what is the result?

<p>0110 1100 (D)</p> Signup and view all the answers

How many different values can 1 byte represent?

<p>256 (C)</p> Signup and view all the answers

Which of the following represents the decimal number 19 in binary?

<p>10101 (D)</p> Signup and view all the answers

What is the base of the hexadecimal number system?

<p>16 (A)</p> Signup and view all the answers

What is the total number of different representations of the binary number 010 in 2's complement?

<p>1 (D)</p> Signup and view all the answers

How many bits are there in a group of hexadecimal numbers?

<p>4 bits (C)</p> Signup and view all the answers

What characters are used to represent the values above 9 in the hexadecimal number system?

<p>A to F (D)</p> Signup and view all the answers

What is the decimal equivalent of the hexadecimal number 2B9F16?

<p>1116710 (D)</p> Signup and view all the answers

What is the maximum number of combinations that can be represented by a group of 4 bits in binary?

<p>16 (B)</p> Signup and view all the answers

Which hexadecimal digit corresponds to the decimal number 11?

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

In the context of hexadecimal numbers, how are the digits 10 to 15 represented?

<p>A to F (D)</p> Signup and view all the answers

What base does the hexadecimal number system operate on?

<p>Base-16 (A)</p> Signup and view all the answers

What is the main function of a linker?

<p>Combines object files into a single executable file (A)</p> Signup and view all the answers

Which translation method reports errors as they occur during the execution process?

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

In what way does an assembler differ from a compiler?

<p>It translates assembly language to machine language (D)</p> Signup and view all the answers

How does the execution process of a compiler compare to an interpreter?

<p>The compiler translates the entire program at a time (C)</p> Signup and view all the answers

What is a utility program that combines separately compiled programs into an executable?

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

Which of the following statements is true about the execution process?

<p>It is considered fast for compilers (D)</p> Signup and view all the answers

What does the execution process of an assembler accomplish?

<p>It processes data through arithmetic operations (D)</p> Signup and view all the answers

Which statement correctly describes the difference in error reporting between compilers and assemblers?

<p>Compilers report errors after the entire code is executed (C)</p> Signup and view all the answers

Which of the following is a characteristic of high-level languages (HLL)?

<p>They require less knowledge of hardware. (C)</p> Signup and view all the answers

What role does an assembler play in programming?

<p>Converts assembly language into machine code. (D)</p> Signup and view all the answers

What is the purpose of a processor in computer architecture?

<p>To store data and execute tasks. (B)</p> Signup and view all the answers

How can the binary number 11101010 be represented in hexadecimal?

<p>EA16 (C)</p> Signup and view all the answers

Which of the following is NOT a type of language classification?

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

What distinguishes low-level languages from high-level languages?

<p>Low-level languages require significant hardware knowledge. (C)</p> Signup and view all the answers

In the context of programming languages, what does 'compilation' refer to?

<p>Translating high-level code into machine code. (A)</p> Signup and view all the answers

Which statement is true regarding 1's complement and 2's complement?

<p>2's complement can easily handle mathematical operations. (C), 2's complement is always one more than 1's complement. (D)</p> Signup and view all the answers

Flashcards

Hexadecimal

Base-16 number system, groups binary into 4-bit sections.

Hex Digits (0-9)

Hexadecimal digits 0-9 represent values 0-9.

Hex Digits (A-F)

Hexadecimal Letters A-F represent values 10-15.

Binary

Base-2 number system using only 0 and 1.

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2's Complement

Represents signed binary numbers uniquely.

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MSB in 2's Complement

Most significant bit; 0 for positive, 1 for negative.

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Calculating 2's Complement

Invert bits and add 1 to LSB to find the 2's complement.

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1's Complement

Signed numbers via bit inversion; positive/negative share representations.

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1's Complement Zero Issue

Two representations of zero can cause problems.

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1's Complement Calculation

Inverting all bits (0 to 1, 1 to 0).

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Assembly Language

Low-level language using mnemonics.

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Machine Language

Assembly must be converted into this for execution.

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Compiler: Scanning Phase

Reads source code characters left to right.

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Compiler: Lexical Analysis Phase

Converts character groups into tokens using a symbol table.

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Compiler: Syntactic Analysis Phase

Checks token arrangement against grammar rules, creates a parse tree.

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Linker

Combines object files into a single executable file.

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Linker Functions

Finds reference modules and assigns memory locations.

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1 Byte (8 bits)

Represents 256 different values.

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Compiler Execution

Translates entire program at once.

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Interpreter Execution

Processes code one line at a time.

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Efficient Execution

Critical in low-level languages for hardware management.

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Signed Number Representation

Representing signed numbers using bit flipping.

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The Most Significant Bit

Treating the MSB to indicate the sign indicates what?

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What Values Represent Hexidecimal Letters

What numerical values represent each character when reading hexidecimal numbers?

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How Ones Complement Impacts Representations

When using ones complement how can different numbers share a single representation?

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What is Assembly Language?

How can Assembly language be described?

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Symbol Table

What is a symbol table used for in assembly to compilation?

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Parse Tree

What is a parse tree?

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What does the linker do?

What actions does the linker take?

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Greatest Low Level Language Concer

What is the most important factor to consider with low level languages?

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Study Notes

Number Systems

  • Hexadecimal is a base-16 system that groups binary numbers into 4-bit sections, allowing 16 possible combinations.
  • The digits 0-9 represent values 0-9, and letters A-F represent values 10-15.
  • Binary (base-2) numbers use only 0 and 1, allowing any number of bits, n, to take 2^n values.

2's Complement

  • Represents signed binary numbers uniquely, with only one representation for positive numbers.
  • The most significant bit (MSB) acts as a sign bit (0 for positive, 1 for negative).
  • Process includes inverting the bits of the binary number and adding 1 to the least significant bit (LSB).

1's Complement

  • Represents signed numbers via bit inversion; positive and negative values can share a representation.
  • It can lead to problems due to two representations of zero (e.g., +0 and -0).

Binary Examples

  • The binary number 010 is represented uniquely in 2's complement.
  • For 1's complement, the binary representation 010 yields two forms: +010 (00000) and -010 (11111).
  • Example: The 1's complement of 10010011 is 01101100.

Assembly Language

  • A low-level programming language utilizing human-readable instructions (mnemonics).
  • Must be converted into machine language for execution, necessitating knowledge of internal architecture.

Compiler Phases

  • Scanning: Reads characters in source code left to right.
  • Lexical Analysis: Converts character groups into tokens using a symbol table.
  • Syntactic Analysis: Checks the arrangement of tokens according to grammar rules, generating a parse tree.

Linker Functionality

  • Combines multiple object files into a single executable file (.exe).
  • Searches for reference modules and determines memory locations for code execution.

Operational Notes

  • 1 byte (8 bits) can represent 256 different values (2^8).
  • The execution process varies by method: compilers translate the entire program, while interpreters process it line by line.
  • Efficient execution is key in low-level languages, which directly manage hardware operations.

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