Chapter 1.6, Problem 6QE

a.

Explanation of Solution

Solve $0100+0011$ in two’s compliment notation:

• Add the two numbers as:

  $\begin{array}{l}0100\\ \frac{+0011}{0111}\end{array}$

• An overflow is indic

b.

Explanation of Solution

Solve $0101+0110$ in two’s compliment notation:

• Add the two numbers as:

  $\begin{array}{l}0101\\ \frac{+0110}{1011}\end{array}$

• An overflow is indicated if the addition of two positive values results in the pattern for a negative value or if the sum of two negative values appears to be positive

c.

Explanation of Solution

Solve $1010+1010$ in two’s compliment notation:

• Add the two numbers as:

  $\begin{array}{l}1010\\ \frac{+1010}{0100}\end{array}$

• An overflow is indicated if the addition of two positive values results in the pattern for a negative value or if the sum of two negative values appears to be positive

d.

Explanation of Solution

Solve $1010+0111$ in two’s compliment notation:

• Add the two numbers as:

  $\begin{array}{l}1010\\ \frac{+0111}{0001}\end{array}$

e.

Explanation of Solution

Solve $0111+0001$ in two’s compliment notation.

• Add the two numbers as:

  $\begin{array}{l}0111\\ \frac{+0001}{1000}\end{array}$

• An overflow is indicated if the addition of two positive values results in the pattern for a negative value or if the sum of two negative values appears to be positive