Question $1$

Design an increment$/$decrement functional block with $+/-5$ as specified with the following inputs$/$outputs using full$-$adders, multiplexers, and gates of any type:

If

Y$[7$:$0]$A$[7$:$0]+5$

Else

Y$[7$:$0]$A$[7$:$0]-5$

where S is a $1-$bit selection input, A is an $8-$bit input sequence, and Y is an $8-$bit output sequence.

Implement your solution on Logisim and test I$/$O characteristics with $10$ test cases. Ensure test cases yield the expected outputs.