1.计算题用代数法化简成最简的与或表达式)L=(A+B)(B+AC)+A(B+AC)+?
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因为 (A'+B)(B+A'C) = A'B + B + A'A'C +A'BC
= B(A'+1+A'C) + A'C
= B+A'C
A(B+AC') = AB + AAC' = AB+AC'
那么:
(B+A'C)' + AB+AC'
=B'(A'C)' + AB + AC'
=B'(A+C') + AB + AC'
=AB' + B'C' + AB + AC'
=(AB' + AB) + B'C' + AC'
=A(B'+B) + B'C' + AC'
=A+AC' + B'C'
=A(1+C')+B'C'
=A + B'C'
那么:
L = (A+B'C')'
= A'(B'C')'
=A'(B+C)
= B(A'+1+A'C) + A'C
= B+A'C
A(B+AC') = AB + AAC' = AB+AC'
那么:
(B+A'C)' + AB+AC'
=B'(A'C)' + AB + AC'
=B'(A+C') + AB + AC'
=AB' + B'C' + AB + AC'
=(AB' + AB) + B'C' + AC'
=A(B'+B) + B'C' + AC'
=A+AC' + B'C'
=A(1+C')+B'C'
=A + B'C'
那么:
L = (A+B'C')'
= A'(B'C')'
=A'(B+C)
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