COMPUTER SCIENCE ILLUMIN.-TEXT
COMPUTER SCIENCE ILLUMIN.-TEXT
7th Edition
ISBN: 9781284156010
Author: Dale
Publisher: Jones & Barlett
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Chapter 4, Problem 66E

Explanation of Solution

Full adder:

  • The full adder is an electronic circuit used to perform the addition of three binary digits.
  • It takes the inputs of two binary digits and another input is the carry-in value.
  • For computation, the half adder does not take the carry value. But the full adder takes the carry-in input value into calculation.
  • It produces the output as sum and carry-out.
  • To make a full adder, use the two half adders.
  • Logic diagram for the full adder takes three inputs A, B, and Carry-in and produces the outputs Sum and Carry-out.

  • From the circuit diagram:
    • Boolean expression for Sum:
      • First, the inputs A and B are passed to XOR gate to produce the output as AB.
      • Next, the output of first XOR gate “AB” and “Carry-in” as the input for second XOR gate and produce the output as Sum=((AB)Carryin).
    • Boolean expression for Carry-out:
      • Next, pass the same inputs of A and B from the first XOR gate and it is passed to AND gate to produce the output as AB.
      • Next, pass the same output of first XOR gate “AB” and “Carry-in” as the input of second AND gate to produce the output as ((AB)Carryin)

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