Question

1. Simplify the following functions using only Boolean algebra Laws. For each resulting function, sketch the...

1. Simplify the following functions using only Boolean algebra Laws. For each resulting function, sketch the logic circuit using logic gates.

a. Simplify F = (A + C' +D')(B' + C' + D)(A + B' + C') (Hint, use theorem 8, Theorem 7 and distributive)

b. Show that (Z + X)(Z' + Y')(Y' + X) = ZY' + Z'X

c. Show that (X+Y)Z + X'Y'Z' = X'.Y' ((X+Y) HAVE 1 prime over the inside parenthesis. making it (x' +' y'))

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The Boolean algebra problems solutions are given below:

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