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=ABC + AB'C + ABD + C'D' + A'CD' + AC'D
=AC(B+B') + ABD + D'(C' + A'C) + AC'D
=AC + ABD + D'[C'(A+A') + A'C] + AC'D
=AC + ABD + D'[AC' + A'C' + A'C] + AC'D
=AC + ABD + D'[AC' + A'(C' + C)] + AC'D
=AC + ABD + D'(AC' + A') + AC'D
=AC + ABD + D'(AC' + A' + C' + A'C) + AC'D 注：C'+A'C =AC'+A'=(C'+A'C)+(AC'+A')
=AC + ABD + D'[(A+1)C' +A'(1+C)] + AC'D
=AC + ABD + D'(C' + A') + AC'D
=AC + ABD + C'D' + A'D' + AC'D
=AC + AC'D + ABD + C'D' + A'D'
=A(C+C'D) + ABD + C'D' + A'D'
=A(C+D) + ABD + C'D' + A'D'
=AC + AD + ABD + C'D' + A'D'
=AC + AD(1+B) + C'D' + A'D'
=AC + AD + C'D' + A'D'
=[A(C+D) + (C+D)'] + A'D'
=[A + (C+D)'] + A'D'
=(A + A'D') + (C+D)'
=(A+D') + C'D'
=A + D' + C'D'
=A + D'(1+C')
=A + D'
注：上式化简过程中多次用到公式：
A + A'B = A + B
还用到公式：
(A+B)' = A'B'
=AC(B+B') + ABD + D'(C' + A'C) + AC'D
=AC + ABD + D'[C'(A+A') + A'C] + AC'D
=AC + ABD + D'[AC' + A'C' + A'C] + AC'D
=AC + ABD + D'[AC' + A'(C' + C)] + AC'D
=AC + ABD + D'(AC' + A') + AC'D
=AC + ABD + D'(AC' + A' + C' + A'C) + AC'D 注：C'+A'C =AC'+A'=(C'+A'C)+(AC'+A')
=AC + ABD + D'[(A+1)C' +A'(1+C)] + AC'D
=AC + ABD + D'(C' + A') + AC'D
=AC + ABD + C'D' + A'D' + AC'D
=AC + AC'D + ABD + C'D' + A'D'
=A(C+C'D) + ABD + C'D' + A'D'
=A(C+D) + ABD + C'D' + A'D'
=AC + AD + ABD + C'D' + A'D'
=AC + AD(1+B) + C'D' + A'D'
=AC + AD + C'D' + A'D'
=[A(C+D) + (C+D)'] + A'D'
=[A + (C+D)'] + A'D'
=(A + A'D') + (C+D)'
=(A+D') + C'D'
=A + D' + C'D'
=A + D'(1+C')
=A + D'
注：上式化简过程中多次用到公式：
A + A'B = A + B
还用到公式：
(A+B)' = A'B'
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