Question: 1. Construct a truth table for the following Boolean expression: yz + z(xy)' Show your work 2. Show that x = xy + xy' using

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

Show your work

2. Show that x = xy + xy' using

Truth tables

Boolean identities

Show your work

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)')

Show your work

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

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

Show your work

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

Show your work

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