F=AB+A'C+B'C=AB+(A'+B')C=AB+(AB)'C=AB+CF=(A+B')(B+C')(C+D')(D+A')=A(B+C')(C+D')(D+A')+B'(B+C')(C+D')(D+A')=(AB+AC')(C+D')(D+A')+B'C'(C+D')(D+A')=AB(C+D')(D+A')+B'C'(C+D')(D+A')=ABC(D+A')+B'C'D'(D+A')=ABCD+A'B'C'D一级一级乘下来,总有AA'XX形式成为0项,所以越展开起简单