Chapter 3, Problem 5RQ

Conversion of hexadecimal numbers to decimal numbers:

a.

Explanation of Solution

5A:

• • Given, hexadecimal number is 5A.
• • First, multiply the given hexadecimal number 5A with multiples of 16, with respect to their positions and then, add all the values to get the final answer.
• • The following calculation describes the decimal notation of the hexadecimal number 5A.

b.

Explanation of Solution

C7:

• • Given, hexadecimal number is C7.
• • First, multiply the given hexadecimal number C7 with multiples of 16, with respect to their positions and then, add all the values to get the final answer.
• • The following calculation describes the decimal notation of the hexadecimal number C7.

c.

Explanation of Solution

9B5:

• • Given, hexadecimal number is 9B5.
• • First, multiply the given hexadecimal number 9B5 with multiples of 16, with respect to their positions and then, add all the values to get the final answer.
• • The following calculation describes the decimal notation of the hexadecimal number 9B5.

$\begin{array}{l}9B5=16^2*9+16^1*B+16^0*5\\ =16^2*9+16^1*11+16^0*5\\ \end{array}$

Explanation of Solution

d.

1A6:

• • Given, hexadecimal number is 1A6.
• • First, multiply the given hexadecimal number 1A6 with multiples of 16, with respect to their positions and then, add all the values to get the final answer.
• • The following calculation describes the decimal notation of the hexadecimal number 1A6.

$\begin{array}{l}1A6=16^2*1+16^1*A+16^0*6\\ =16^2*1+16^1*10+16^0*6\\ \&\end{array}$