Calculate the $2\text{'}$s complement of each of the following numbers:

$($a$)10000101$

$($b$)10011101$

Perform the following signed operations in binary. Do not convert the numbers to any other base. Remember to complement and add for signed subtraction.

$($a$)11011000+10001100$

$($b$)11101010-00100100$

Perform the following signed operations in hexadecimal. Do nat convert the numbers to any other base. Remember to complement and add for signed subtraction.

$($a$)01F+0A9$

$($b$)03B-012$

Fill in a truth table for the following functions. Follow the precedence order and show all steps. Note: $+=$ OR$,$ &$=$ AND, $=$ NOT, xor $=$ XOR

$($a$)x+(y$&$z)$ xor $y$

$($b$)(x+y)$&${}_{z}x$@$ry$ #DO IT IN PAPER