Add $+5$ and $+6$ in binary using the signed $1\text{'}$s complement representation$/$format$.$ Assume width of $4$ bits.

Comment on the result and give reasons wherever applicable

Repeat problem $1$ with a width of $5$ bits

Add $-2$ and $-6$ in binary using the signed $1\text{'}$s complement representation$/$format$.$ Assume width of $4$ bits.

Comment on the result and give reasons wherever applicable

Repeat problem $3$ with a width of $5$ bits

Add $-2$ and $-6$ in binary using the signed $2\text{'}$s complement representation$/$format$.$ Assume width of $4$ bits.

Comment on the result and give reasons wherever applicable

Repeat problem $5$ with a width of $5$ bits

Answer this question in the context of the IEEE $754$ format for representing floating point numbers:

I. Give the value of the largest positive normalized number that can be represented in this format. Assume

total width of $32$ bits.

II$.$ Give the value of the largest positive denormalized number that can be represented in this format.

Assume total width of $32$ bits.