和項積式化簡

Question

XY+X'Z+YZ如何寫成XY+X'Z
A'B+CD如何寫成(A'+C)(A'+D)(B+C)(B+D)
(A+B+C')(A+B'+C')(A'+B+C')(A'+B'+C')如何寫成C'
請寫算法 教一下吧 謝謝

F(A,B,C)=A'(A+B'+C')的標準和項積式 這題也拜托了.......感謝

Answer 1

XY+X'Z+YZ=XY(Z+Z')+X'Z(Y+Y')+YZ(X+X')=XYZ+XYZ'+X'YZ+X'Y'Z+XYZ+X'YZ=XYZ+XYZ'+X'YZ+X'Y'Z=XY(Z+Z')+X'Z(Y+Y')=XY+X'ZA'B+CD=(A'+CD)(B+CD)=(A'+C)(A'+D)(B+C)(B+D)(A+B+C')(A+B'+C')(A'+B+C')(A'+B'+C')=(AA'+B+C')(AA'+B'+C')=(B+C')(B'+C')=BB'+C'=C'F(A,B,C)=A'(A+B'+C')=(A'+BB')(A+B'+C')=(A'+B)(A'+B')(A+B'+C')=(A'+B+CC')(A'+B'+CC')(A+B'+C')=(A'+B+C)(A'+B+C')(A'+B'+C)(A'+B'+C')(A+B'+C')=(A+B'+C')(A'+B+C)(A'+B+C')(A'+B'+C)(A'+B'+C')即 Π(3,4,5,6,7)以上若覺得有不大清楚可先參考一下這裡:x+x'=1　xx'=0x+y=y+x　xy=yxx+0=x　x‧1=xx(y+z)=xy+xzx+yz=(x+y)(x+z)x+x=x　xx=x只用到這些的樣子