#$04-2024-1004-704$

CSCI $150$

$2.(5$pt$)$ Short questions

A$.$ What is the unsigned and signed $2$ s complement of $01010101?$

unsigned $=>01010101$

$$

signed $=>10101019$

$\{\begin{array}{c}\text{:}{33}_{10}={100001}_2\\ 33\text{'}\text{'}100001\\ \frac{-100001}{101101}\end{array}$

C$.$ Write down all the steps of performing SIGNED $6-$bit addition of $(-14)+24.$ You need to show all steps, including all carry bits.

$-14$ in $6$ bit $=>001110$

D$.$ Given input sequence for $x$ being $010110111111,$ what is the state transition sequence and output $YZ$ sequence for the below state diagram?

E$.$ Perform sequential and one$-$hot state assignment separately for a circuit with $3$ different states $S_2,S_1,S_0($write down their values and required number of flip$-$flops only$).$