化简题1.将函数F(ABCD)=∑(3,4,5,6),约束条件AB+AC=0①作出卡诺图,并在卡诺图上化简；②写出最简与或非式；③画出逻辑图.

Question

化简题1.将函数F(ABCD)=∑(3,4,5,6),约束条件AB+AC=0
①作出卡诺图,并在卡诺图上化简；
②写出最简与或非式；
③画出逻辑图.

Answer 1

约束条件：AB+AC=AB(C+C')(D+D')+A(B+B')C(D+D')

=ABCD+ABCD'+ABC'D+ABC'D'+ABCD+ABCD'+AB'CD+AB'CD'
=ABCD+ABCD'+ABC'D+ABC'D'+AB'CD+AB'CD'

F(A,B,C,D)=∑m(3,4,5,6)+∑d(10,11,12,13,14,15)

F(A,B,C,D)=BC'+BD'+B'CD     

F(A,B,C,D)=(B’C'+B‘D'+BCD)'   

逻辑图略.