$1.$ Let $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ present a four digit binary integers which are stored in registers consider the following ASM chart.

a$)$ if $\backslash ($ A$=8\backslash )$ and $\backslash ($ B$=2\backslash ),$ what is the final value of $9?$ What kind of operation does this ASM perform? Justify your answer.

b$)$ in this $\backslash ($ A S M $\backslash )$ chart what happens if $\backslash ($ A$>0\backslash ),$ and $\backslash ($ B$=0\backslash )?$

c$)$ Modify the ASM chart with a new output E : if $\backslash (\backslash$mathrm$\{$B$\}=0\backslash )$ the final result is $\backslash (\backslash$mathrm$\{$R$\}=0\backslash )$ and $\backslash (\backslash$mathrm$\{$E$\}=\backslash )1$ otherwise $\backslash ($ R $\backslash )$ contains the same value as before and $\backslash ($ E$=0\backslash ).$ You may add or modify any block you wish.