40 Questions
What is the primary factor that determines the output of a combinational digital circuit?
Current input values
What is used to describe the behavior of a combinational digital circuit?
Truth tables
What is a key characteristic of combinational digital circuits?
They are deterministic
What is used to analyze and design combinational digital circuits?
Boolean algebra
What are combinational digital circuits built using?
Basic logic gates
What is the primary function of a multiplexer?
To select one of multiple input data lines and direct it to the output
What is the primary function of an encoder?
To convert multiple input lines into a binary code
What is the main difference between a half adder and a full adder?
A half adder adds two binary digits without considering the carry from a previous addition, while a full adder adds three binary digits
What is the function of a decoder?
To convert a binary code into a set of outputs
What is the primary component of a subtraction circuit?
XOR gates and inverters
What is the function of a full subtractor?
To subtract one binary digit from another, considering a borrow from a previous subtraction
What is the borrow output in a half-subtractor?
A'.B
What is the output of the second half adder in a full adder?
Sum = Cin (A B)
What is the difference between a half-subtractor and a half-adder?
The expressions for the SUM and DIFFERENCE outputs are the same
How can a full adder be implemented?
With two half-adders and one OR gate
Which arithmetic operation involves iterative subtraction and shifting similar to decimal division?
Division
What is the function of a magnitude comparator?
To determine the relative magnitudes of two numbers
What is the purpose of a digital comparator?
To compare two binary numbers and determine their relationship
Which type of comparator compares two N-bit binary numbers by comparing each corresponding bit from the most significant bit (MSB) to the least significant bit (LSB)?
N-Bit Comparator
What is the result of a left shift operation on a binary number?
Multiplication by powers of 2
What is the purpose of a parity generator in digital systems?
To generate the parity bit at the transmitting side
What is the difference between even parity and odd parity?
Even parity has an extra bit of 0 for even quantities of 1s and 1 for odd quantities
What is the purpose of a parity checker in digital systems?
To produce a check bit for error detection in the receiver
What is the function of a decoder in digital systems?
To activate exactly one of 2n outputs based on an n-bit input value
What is the boolean expression for even parity?
Pe = A(BC)
What is the role of a demultiplexer in digital circuits?
Distributes a single input line to multiple output lines based on a control signal
What does a full adder do that a half adder does not?
Has a carry input from a previous stage
What function does a comparator perform?
Compares two binary numbers and indicates their relationship
What is the primary function of an Arithmetic Logic Unit (ALU) in digital systems?
Performs arithmetic and logic operations on binary numbers
How is the sum output (S) of a full adder calculated?
OR of A, B, and Cin
In a 3-to-8 line decoder, what input configuration results in the output Y1 being active?
A= 0, B= 1
What is the purpose of a 3-to-8 line decoder in binary-to-octal conversion?
Convert binary numbers to octal
How many input lines and output lines does a 2-to-1 line multiplexer have?
2 input lines, 1 output line
What determines which input is selected and routed to the output line in a multiplexer?
Selection lines
For a 4-to-1 line multiplexer, what is the function of the selection lines S0 and S1?
Select one of the four input channels
What is the primary difference between a encoder and decoder?
An encoder converts binary information to unique output lines, while a decoder performs the inverse operation.
What problem can occur in the octal-to-binary encoder if two inputs are active simultaneously?
The output will be 111, representing a combination of both inputs.
What solution is implemented to ensure only one input is encoded in an encoder?
Assigning a higher priority to inputs with lower subscript numbers
Why is a third output, 'V', included in a priority encoder circuit?
To validate the presence of valid input data
In a priority encoder, how does the priority of inputs affect the output?
Higher priority inputs will take precedence when multiple inputs are active
Learn about combinational digital circuits, a type of digital circuit where the output is solely determined by the current input values. Explore key characteristics, examples, and how these circuits can be described using truth tables and Boolean algebra.
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