Problem $1$:

Perform $1\text{'}$s complement of the following binary numbers. Show detail calculations.

i$)$

$1101010$

ii$)$

$0010110$

Problem $2$:

Perform $2\text{'}$s complement of the following binary numbers. Show detail calculations.

i$)$

$1101010$

$$

$0010110$

Problem $3$:

Represent $-50($decimal$)$ in binary using $-($Show calculations in detail$)$

i$)$

$8-$bits

$$

$6-$bits

Problem $4$:

Perform the following binary addition. Show calculations in detail.

i$)$

$111001+101101$

$$

$11011001+11100011+10011$

Problem $5$:

Perform the following binary subtractions. Show calculations in detail.

i$)$

$111001-101101$

$$

$60-120($use $8$ bits$)$

Problem $6$:

Convert the following decimal numbers in binary. Show calculations in detail.

i$)$

$17\mathrm{.}46($use $5$ bits to represent the fractional part$)$