Digital Systems & Architecture - Combinational Circuit
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Questions and Answers

What is a combinational circuit?

A connected arrangement of logic gates with a set of inputs and outputs.

The output of a combinational circuit is dependent on past input states.

False

Which of these are types of combinational circuits? (Select all that apply)

  • D Flip-Flop
  • Decoder (correct)
  • Multiplexer (correct)
  • Encoder (correct)
  • Demultiplexer (correct)
  • What does the output of a combinational logic circuit depend on?

    <p>The logical function of its current input state.</p> Signup and view all the answers

    How many binary inputs does a half-adder need?

    <p>Two</p> Signup and view all the answers

    What outputs does a half-adder produce?

    <p>Sum and carry.</p> Signup and view all the answers

    What is the main purpose of a full adder?

    <p>To add two one-bit numbers and carry.</p> Signup and view all the answers

    What defines a multiplexer?

    <p>A combinational circuit with 2n input lines and a single output line.</p> Signup and view all the answers

    Study Notes

    Combinational Circuits

    • Combinational circuits are networks of logic gates with defined inputs and outputs, such as encoders, decoders, multiplexers, and demultiplexers.
    • Outputs depend solely on current input states (logic “0” or logic “1”), making these circuits memoryless.
    • Memoryless property means previous input states do not influence the output; output is only based on present inputs.
    • Combinational circuits can have multiple inputs (n) and outputs (m).
    • Constructed from basic logic gates: NAND, NOR, and NOT gates are combined to create more complex circuits.

    Half-Adder

    • A half-adder circuit requires two binary inputs and provides two binary outputs.
    • The inputs represent the augend and addend bits.
    • The outputs indicate the sum and carry of the input values.

    Full Adder

    • Full adders improve on the half-adder by adding two one-bit numbers (A and B) alongside an input carry (c).
    • It has three inputs and two outputs, capable of processing more complex addition tasks.

    Multiplexer

    • A multiplexer is a combinational circuit with 2^n input lines and a single output line, operating as a multi-input, single-output system.
    • It directs binary information from multiple input lines to one output line based on the selection lines.
    • Requires n selection lines to choose between 2^n inputs for output, differentiating it from encoders and decoders.

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    Description

    Test your knowledge on combinational circuits, including essential components like encoders, decoders, multiplexers, and demultiplexers. This quiz is designed for FYB.Sc CS students studying Digital Systems & Architecture. Prepare to deepen your understanding of digital logic design.

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