Question

Consider the parity generator (even parity) shown in the truth table below. The
parity bit Y is a function of Boolean variables A, B, and C.

A B C P
0 0 0 0
0 0 1 1
0 1 0 1
0 1 1 0
1 0 0 1
1 0 1 0
1 1 0 0
1 1 1 1

Represent this parity function in the following ways.
a) As a Boolean algebra expression
b) As a combinational logic diagram (logic circuit)

Answer 1

a) As a Boolean algebra expression
Y = A'B'C + A'BC' +AB'C' + ABC

b) As a combinational logic diagram (logic circuit)