Give the logical expression for half subtractor, with A and B as inputs. D for difference and B for borrow.

Q. Give the logical expression for half subtractor, with A and B as inputs. D for difference and B for borrow.

A

D=A'B'+AB ; B= AB

B

D=AB; B=AB'+AB

C

B=A'B; D=AB'+A'B

D

D+AB'+AB'; B=AB'

Solution:

The truth table for half subtractor is:

B= A’B
D= A’B+AB’
Thus option (c) is correct.

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