Chapter 1, Problem 26CRP

a.

Explanation of Solution

Convert binary representation $1111$ to its equivalent base ten forms:

• To find the conversion of binary representation $1111$ to its equivalent base ten representations, multiply value of each digit by the quantity associated with its position and add the result:

$\begin{array}{c}1\times 2^3+1\times 2^2+1\times 2^1+1\end{array}$

b.

Explanation of Solution

Convert binary representation $0001$ to its equivalent base ten forms:

• To find the conversion of binary representation $0001$ to its equivalent base ten representations, multiply value of each digit by the quantity associated with its position and add the result:

c.

Explanation of Solution

Convert binary representation $10101$ to its equivalent base ten forms:

• To find the conversion of binary representation $10101$ to its equivalent base ten representations, multiply value of each digit by the quantity associated with its position and add the result:

$\begin{array}{c}1\times 2^4+0\times 2^3+1\times 2^2+0\times 2^1\end{array}$

d.

Explanation of Solution

Convert binary representation $1000$ to its equivalent base ten forms:

• To find the conversion of binary representation $1000$ to its equivalent base ten representations, multiply value of each digit by the quantity associated with its position and add the result:

e.

Explanation of Solution

Convert binary representation $10011$ to its equivalent base ten forms:

• To find the conversion of binary representation $10011$ to its equivalent base ten representations, multiply value of each digit by the quantity associated with its position and add the result:

$\begin{array}{c}1\times 2^4+0\times 2^3+0\times 2^2+1\times 2^1\end{array}$

f.

Explanation of Solution

Convert binary representation $000000$ to its equivalent base ten forms:

• To find the conversion of binary representation $000000$ to its equivalent base ten representations, multiply value of each digit by the quantity associated with its position and add the result:

$\begin{array}{c}0\times 2^5+0\times 2^4+0\times 2^3+0\times 2^2+0\times \end{array}$

g.

Explanation of Solution

Convert binary representation $1001$ to its equivalent base ten forms:

• To find the conversion of binary representation $1001$ to its equivalent base ten representations, multiply value of each digit by the quantity associated with its position and add the result:

h.

Explanation of Solution

Convert binary representation $10001$ to its equivalent base ten forms:

• To find the conversion of binary representation $10001$ to its equivalent base ten representations, multiply value of each digit by the quantity associated with its position and add the result:

$\begin{array}{c}1\times 2^4+0\times 2^3+0\times 2^2+0\times 2^1\end{array}$

i.

Explanation of Solution

Convert binary representation $100001$ to its equivalent base ten forms:

• To find the conversion of binary representation $100001$ to its equivalent base ten representations, multiply value of each digit by the quantity associated with its position and add the result:

j.

Explanation of Solution

Convert binary representation $11001$ to its equivalent base ten forms:

• To find the conversion of binary representation $11001$ to its equivalent base ten representations, multiply value of each digit by the quantity associated with its position and add the result:

$\begin{array}{c}1\times 2^4+1\times 2^3+0\times 2^2+0\times 2^1\end{array}$

k.

Explanation of Solution

Convert binary representation $11010$ to its equivalent base ten forms:

• To find the conversion of binary representation $11010$ to its equivalent base ten representations, multiply value of each digit by the quantity associated with its position and add the result:

$\begin{array}{c}1\times 2^4+1\times 2^3+0\times 2^2+1\times 2^1\end{array}$

l.

Explanation of Solution

Convert binary representation $11011$ to its equivalent base ten forms:

• To find the conversion of binary representation $11011$ to its equivalent base ten representations, multiply value of each digit by the quantity associated with its position and add the result:

$\begin{array}{c}1\times 2^4+1\times 2^3+0\times 2^2+1\times 2^1\end{array}$