Thread: Truth table

A digital circuit has three inputs A, B and C, and three outputs X,Y and Z. The truth table is given below. Determine separate boolean expressions for X, Y and Z.

C B A X Y Z
0 0 0 1 0 0
0 0 1 0 1 0
0 1 0 0 1 0
0 1 1 0 0 1
1 0 0 0 1 0
1 0 1 0 1 0
1 1 0 1 0 0
1 1 1 0 0 1

Hello maniesh

Originally Posted by maniesh

A digital circuit has three inputs A, B and C, and three outputs X,Y and Z. The truth table is given below. Determine separate boolean expressions for X, Y and Z.

C B A X Y Z
0 0 0 1 0 0
0 0 1 0 1 0
0 1 0 0 1 0
0 1 1 0 0 1
1 0 0 0 1 0
1 0 1 0 1 0
1 1 0 1 0 0
1 1 1 0 0 1

X = A'B'C' + A'BC

=A'(B'C' + BC)

Y = AB'C' + A'BC' + A'B'C + AB'C

= A'B'C + AB' + B'C

Z = ABC' + ABC

= AB

Grandad