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

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

2. Use any method to prove the following either True or False

yz + xyz' + x'y'z = xy + x'z

3. Given the function F(x,y,z) = xy'z + x'y'z + xyz

a.List the truth table for F

B..Draw the logic diagram using the original Boolean expression

c.Simplify the expression using Boolean algebra and identities.

d.List the truth table for your answer in Part c.

e.Draw the logic diagram for the simplified expression in Part c.

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4 Write a simplified expression for the Boolean function defined by the following Kmap yz 10 01 10