Question: answer all question. 7. Simplify the following functional expressions using Boolean algebra and its identities. List the identity used at each step x(yz + y'z)

answer all question.

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

  1. x(yz + y'z) + xy + x'y + Z
  2. X(y'Z+y) + x'(y + Z')

9. Given the Boolean function, F(x, y, z) = x'y + xyz'

  1. Derive an algebraic expression for the complement of F. Express in sum-of-products form.
  2. Show that FF'. = 0.
  3. Show that F + F' = 1.

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