1. Construct a truth table for the following Boolean expression: yz + z(xy)'

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2. Show that x = xy + xy' using

Truth tables

Boolean identities

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

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

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4. Draw the truth table and rewrite the following expression in sum-of-products form:

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

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5. Draw the truth table and rewrite the following expression in product-of-sums form:

F(x,y,z,) = xy' + x'y + xz + y'z

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