用代数法化简、求大神能详细解释!!
2个回答
展开全部
1.F=AB(B+C')+A'C+B'C
=AB+ABC'+(A'+B')C
=AB(1+C')+(AB)'C
=AB+(AB)'C
=AB+(AB+C')'
2.F=(A+B)(A+B')(B+C)(C'+D)(B+D)
=(A+AB+AB'+BB')(BC'+CC'+BD+CD)(B+D)
=(A+A(B+B'))(BC'+BD+CD)(B+D)
=A(BC'+BD+CD)(B+D)
=(ABC'+ABD+ACD)(B+D)
=ABC'+ABD+ABCD+ABCD+ABD+ACD
=ABC'+ABD+ABCD+ACD
=ABC'+ABD+(B+1)ACD
=ABC'+ABD+ACD
=AB(C'+D)+AD(B+C)
=A(B(C'+D)+D(B+C))
=AB+ABC'+(A'+B')C
=AB(1+C')+(AB)'C
=AB+(AB)'C
=AB+(AB+C')'
2.F=(A+B)(A+B')(B+C)(C'+D)(B+D)
=(A+AB+AB'+BB')(BC'+CC'+BD+CD)(B+D)
=(A+A(B+B'))(BC'+BD+CD)(B+D)
=A(BC'+BD+CD)(B+D)
=(ABC'+ABD+ACD)(B+D)
=ABC'+ABD+ABCD+ABCD+ABD+ACD
=ABC'+ABD+ABCD+ACD
=ABC'+ABD+(B+1)ACD
=ABC'+ABD+ACD
=AB(C'+D)+AD(B+C)
=A(B(C'+D)+D(B+C))
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