化简逻辑函数式f=ab非+c+a非c非d+bc非d?
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咨询记录 · 回答于2023-03-06
化简逻辑函数式f=ab非+c+a非c非d+bc非d?
您好,答案和解析如下哦 您看一下。因为 “非”运算符在网页上敲不出来,就用单撇号来表示:F = AB' + C(1+A'D) + A'C'D + BC'D 注:1+A'D = 1= AB' + C + (C+C')A'D + BCD 注:C+C' = 1= AB' + C+ A'D + BC'D= AB' + C(1+BD) + C'BD + A'D= AB' + C + (C+C')BD + A'D= AB' + C+ BD + A'D= AB' + C + D(B+A')= AB' + (AB')'D + C 注:A'+B = A' + (B')' = (A'B)'= AB'(1+D) + (AB')'D + C= AB' + [AB' + (AB')']D + C= AB' + D + C上面就是化简后的结果。希望能够帮到你!