$($b$)$ Calculate the binary equivalent of $\frac{2}{3}$ out to eight places. Then con decimal. How close is the result to $\frac{2}{3}?$

$($c$)$ Convert the binary result in $($b$)$ into hexadecimal. Then convert th Is the answer the same?

$1\mathrm{.}14$ Obtain the $1\text{'}$s and $2\text{'}$s complements of the following binary numbers:

$($a$)00010000$

$($b$)00000000$

$($c$)11011010$

$($d$)10101010$

$($e$)10000101$

$($f$)11111111.$

$15$ Find the $9\text{'}$s and the $10\text{'}$s complement of the following decimal number

$($a$)25,478,036$

$($b$)63,325,600$

$($c$)25,000,000$

$($d$)00,000,000.$

$1\mathrm{.}16($a$)$ Find the $16\text{'}$s complement of C$3$DF$.$

$($b$)$ Convert C$3$DF to binary.

$($c$)$ Find the $2\text{'}$s complement of the result in $($b$).$

$($d$)$ Convert the answer in $($c$)$ to hexadecimal and compare with the at

$1\mathrm{.}17$ Perform subtraction on the given unsigned numbers using the $10\text{'}$s $c$ subtrahend. Where the result should be negative, find its $10\text{'}$s complemer sign. Verify your answers.

$($a$)4,637-2,579$

$($b$)125-1,800$

$($c$)2,043-4,361$

$($d$)1,631-745$

$1\mathrm{.}18$ Perform subtraction on the given unsigned binary numbers using the $2\text{'}$s subtrahend. Where the result should be negative, find its $2\text{'}$s complement an

$($a$)10011-10010$

$($b$)100010-100110$

$($c$)1001-110101$

$($d$)101000-10101$

$1\mathrm{.}19*$ The following decimal numbers are shown in sign$-$magnitude form Convert them to signed$-10\text{'}$s$-$complement form and perform the fol $($note that the sum is $+10,627$ and requires five digits and a sign$).$

$($a$)(+9,286)+(+801)$

$($b$)(+9,286)+(-801)$

$($c$)(-9,286)+(+801)$

$($d$)(-9,286)+(-801)$