What is the Boolean expression for the Carry-out (C) output of a Half Adder?

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  1. C = A ⊕ B
  2. C = A OR B
  3. C = A AND B ⊕ Cin
  4. C = A AND B

Answer (Detailed Solution Below)

Option 4 : C = A AND B
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A half adder circuit is made up of an AND gate with an XOR gate as shown below:

Electronic Mechanic 59 26Q FT Qbank Part 1 Hindi images Q9

  • A half adder is also known as XOR gate because XOR is applied to both inputs to produce the sum
  • Half adder can add only two bits (A and B) and has nothing to do with the carry
  • If the input to a half adder has a carry, then it will neglect it and adds only the A and B bits
  • That means the binary addition process is not complete and that's why it is called a half adder


Sum (S) = A⊕B, Carry = A.B

INPUTS

OUTPUTS

A

B

Sum

CARRY

0

0

0

0

0

1

1

0

1

0

1

0

1

1

0

1

 

 

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