逻辑函数化简 Y=AB+BCD+A'C+B'C Y=(A'+B'+C')(B+B'+C)(B'+C+C')

来源：学生作业帮助网编辑：六六作业网时间：2024/12/22 02:32:38

逻辑函数化简Y=AB+BCD+A''C+B''CY=(A''+B''+C'')(B+B''+C)(B''+C+C'')逻辑函数化简Y=AB+BCD+A''C+B''CY=(A''+B''+C'')(B+B''+C)(B''+C+C

逻辑函数化简 Y=AB+BCD+A'C+B'C Y=(A'+B'+C')(B+B'+C)(B'+C+C')
逻辑函数化简 Y=AB+BCD+A'C+B'C Y=(A'+B'+C')(B+B'+C)(B'+C+C')

逻辑函数化简 Y=AB+BCD+A'C+B'C Y=(A'+B'+C')(B+B'+C)(B'+C+C')
Y=AB+BCD+A'C+B'C
=AB(1+C)+BCD+A'C+B'C
=AB+ABC+BCD+A'C+B'C
=AB+C(BD+B'+A'+AB)
=AB+C(BD+B'(A+1)+A'(B+1)+AB)
=AB+C(BD+B'A+B+A'B+A'+AB)
=AB+C(BD+A(B+B')+B+A'B+A')
=AB+C(BD+A+B+A'B+A')
=AB+C(BD+(A+A')+B+A'B)
=AB+C
Y=(A'+B'+C')(B+B'+C)(B'+C+C')
=(A'+B'+C')(1+C)(B'+1)
=A'+B'+C'