A combinational circuit has 3 inputs A, B, C and output F.  F is true for following input combinations

• A is False, B is True
• A is False, C is True
• A, B, C are False
• A, B, C are True

a. Write the simplified expression for F in SOP form.
b. Write the simplified expression for F in POS form.

Ans. a. Simplified given expression for F can be determined by K-map

In SOP Form the simplified expression
F = A'+BC

b. The simplified expression for given F in POS form
I.   In POS Form MINIMIZE   ZERO

F'=AB'+AC'

II.   F=A'+BC taking complement twice

F'=( A'+BC)'=(A.(BC)'

F"=F=(A.(BC)')'