a$)$ Perform the following positional number system conversions. Show all your working; otherwise, no marks will be given.

i$){792}_{10}$ to hexadecimal.

ii$)EF{29}_{16}$ to binary.

iii$){15\mathrm{.}837}_{10}$ to binary with a precision of $4$ decimal places.

$[12$ marks$]$

b$)$ Perform the following arithmetic operations. Show all your working.

i$){1011001}_2-{111010}_2$ in $8-$bit $2\text{'}$s complement.

ii$)64FB7A{1}_{16}-8AB{946}_{16}$

$[8$ marks$]$

c$)$ Perform ${768}_{10}+{154}_{10}$ in Binary Coded Decimal. Show all your working.

$[5$ marks$]$