Question

Write the Boolean expression (in Sum of Products form) for the logic circuit that will have a 1 output when A = 0, B = 0, C = 1 and A = 1, B= 1, C= 0, and a zero (0) output for all other input states. Draw the logic diagram for this circuit. 

Answer 1

Given,

A=0, B=0, C=1

A=1, B=1, C=0

We can write the above expression as per the below -

$Y=AB\bar{C}+\bar{A}\bar{B}C$

The circuit for the above boolean expression will be as per the below diagram -

$Y=\bar{A}\bar{B}\oplus C$