Question

写出下列函数的最小项表达式

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Answer 1

用最小项公式计算：f(A,B,C,D)=f(0,0,0,0)m0+f(0,0,0,1)m1+f(0,0,1,0)m2+f(0,0,1,1)m3+f(0,1,0,0)m4+...+f(1,1,1,1)m15

(1)
F(0,0,0)=0
F(0,0,1)=1
F(0,1,0)=0
F(0,1,1)=1
F(1,0,0)=1
F(1,0,1)=1
F(1,1,0)=0
F(1,1,1)=1
得
F(A,B,C)=AB'+C=m1+m3+m4+m5+m7

(2)
F(0,0,0,0)=1
F(0,0,0,1)=1
F(0,0,1,0)=1
F(0,0,1,1)=0
F(0,1,0,0)=1
F(0,1,0,1)=1
F(0,1,1,0)=1
F(0,1,1,1)=0
F(1,0,0,0)=1
F(1,0,0,1)=1
F(1,0,1,0)=1
F(1,0,1,1)=1
F(1,1,0,0)=1
F(1,1,0,1)=1
F(1,1,1,0)=1
F(1,1,1,1)=0
得
F(A,B,C,D)=AB'+(CD)'=m0+m1+m2+m4+m5+m6+m8+m9+m10+m11+m12+m13+m14