Chapter 4.2, Problem 21E

Find the sum and the product of each of these pairs of numbers. Express your answers as a binary expansion.

a) ${\left(\text{1}000\text{111}\right)}_{\text{2}},{\left(\text{111 }0\text{111}\right)}_{\text{2}}$

b) ${\left(\text{111}0\text{ 1111}\right)}_{\text{2}},{\left(\text{1}0\text{11} \text{11}0\text{1}\right)}_{\text{2}}$

c) ${\left(\text{1}0\text{ 1}0\text{1}0\text{ 1}0\text{1}0\right)}_{\text{2}},{\left(\text{1 1111 }0000\right)}_{\text{2}}$

d) ${\left(\text{1}00000000\text{1}\right)}_{\text{2}},{\left(\text{11 1111 1111}\right)}_{\text{2}}$