7. (a) Use the rules of Boolean algebra provided in (5) to simplify the following logic
gate circuit:
(b)Draw the simplified logic gate circuit in (a)
a)
for example:
output is:
AB+BC(B+C)AB + BC(B + C)AB+BC(B+C)
simplify:
AB+BC(B+C)=AB+BBC+BCC=AB+BC+BC=AB + BC(B + C)=AB+BBC+BCC=AB+BC+BC=AB+BC(B+C)=AB+BBC+BCC=AB+BC+BC=
=AB+BC=B(A+C)=AB+BC=B(A+C)=AB+BC=B(A+C)
b)
simplified logic gate circuit:
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