--- tags: homework --- # Digital Circuit Design HW#5 ## 5.2 ![](https://i.imgur.com/8lmn5kb.png) 2-1 MUX: $Output=S'I_0+SI_1$ JK flip-flop: $D=JQ'+K'Q$ ![](https://i.imgur.com/DDciS0z.png) ## 5.6 ![](https://i.imgur.com/aKx2jg2.png) ### a. ![](https://i.imgur.com/1fcoJiT.png) ### b. | Present(A/B) | Input(x/y) | Next(A/B) | Output(z) | |:------------:|:----------:|:---------:|:---------:| | 0/0 | 0/0 | 0/0 | 0 | | 0/0 | 0/1 | 0/0 | 0 | | 0/0 | 1/0 | 1/1 | 0 | | 0/0 | 1/1 | 0/1 | 0 | | 0/1 | 0/0 | 0/0 | 0 | | 0/1 | 0/1 | 0/0 | 0 | | 0/1 | 1/0 | 1/0 | 0 | | 0/1 | 1/1 | 1/0 | 0 | | 1/0 | 0/0 | 0/0 | 1 | | 1/0 | 0/1 | 0/0 | 1 | | 1/0 | 1/0 | 1/1 | 1 | | 1/0 | 1/1 | 0/1 | 1 | | 1/1 | 0/0 | 0/0 | 1 | | 1/1 | 0/1 | 0/0 | 1 | | 1/1 | 1/0 | 1/1 | 1 | | 1/1 | 1/1 | 1/1 | 1 | ### c. ![](https://i.imgur.com/vH9hDlw.png) ## 5.16 b ![](https://i.imgur.com/4kPQuXd.png) $A=x'A+xB$ $B=x'B+xB'$ ![](https://i.imgur.com/XVCj2Ge.png) ## 5.19 ![](https://i.imgur.com/PCLxEYm.png) ![](https://i.imgur.com/IF82cSv.png) $y=xA'$ $A=xA'B'$ $B=A+xB+x'C'$ $C=xA+x'C+x'A'B'$ ### a 不小心多畫了 D type flip flop 就順便放上來 ![](https://i.imgur.com/0YpuTnW.png) ### b ![](https://i.imgur.com/hOlAoxp.png =600x)