a$)$ Find the $2\text{'}$s complement of the following:

$[5$ marks$]$

i$.10110010$

ii$.10111000$

b$)$ An automatic bank teller machine $($ATM$)$ allows you to enter the amount of cash you wish to withdraw in decimal by pressing the decimal digit symbol keys.

i$.$ Does the computer convert this decimal number into straight binary or BCD$?$

$[1$ mark$]$

ii$.$ Based on your previous answer for $($a$),$ fully articulate how you arrived at that answer.

$[3$ marks$]$

c$)$ Convert the following values to their corresponding number$-$system:

$[14$ marks$]$

i$.{1110100110}_2({)}_{16}$

ii$.0\mathrm{.}10112({)}_{10}$

iii. ${729}_{10}({)}_2$

iv$.{356}_{16}({)}_{10}$

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