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Differentiate between half adder and full adder. Write the Boolean expression and draw the logic circuit diagram for the SUM and CARRY of a full adder. - Computer Science (Theory)

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Question

Differentiate between half adder and full adder. Write the Boolean expression and draw the logic circuit diagram for the SUM and CARRY of a full adder.

Answer in Brief

Solution

  1. A Half Adder consists of only one AND gate and an EX-OR gate. A full Adder consists of one OR gate and two EX-OR and AND gates.
  2. There are two inputs in Half Adder - A and B. There are a total of three inputs in a full Adder,


Full Adder Circuit

Sum = (A ⊕ B) ⊕Cin

Carry = A · B + (A ⊕ B)

shaalaa.com
Applications of Boolean Algebra and Logic Gates to Half Adders, Full Adders, Encoders, Decoders, Multiplexers, NAND, NOR as Universal Gates
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2022-2023 (March) Official
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