1. simplify the following expressions using boolean algebra.
a. y = (q + r)(q' + r')
b. w = abc + ab'c + a'
c. q = (rst)' (r+s +t)'
d. x = a'b'c'+ a'bc + abc + ab'c' + ab'c
e. z = (b+c')(b'+c) + (a'+b+c')'
y = (c+d)' +a'cd' + ab'c' + a'b'cd + acd'
g. x = ab(c'd)' + a' bd + b'c'd'
h. z = [ab'(c + bd) + a'b']c

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