Question

Draw truth table of the following Boolean expression:

xyz+x’y’z’+xyz’​

Answer 1

1. Construct a truth table for the following:

a) yz + z(xy)'

b) x(y'+z) + xyz

c) (x + y)(x' + y)

2. Use only the first seven Boolean identities to prove the Absorption Laws.

3. Show that x = xy + xy'

a) Using truth tables

b) Using Boolean identities

4. Simplify the following functional expressions using Boolean algebra and its identities. List the identity used at each step.

a) F(x,y,z) = y(x' + (x + y)')

b) F(x,y,z) = x'yz + xz

c) F(x,y,z) = (x' + y + z')' + xy'z' + yz + xyz

5. Using the basic identities of Boolean algebra, show that:

x + x' y = x + y

6. The truth table for