Chapter 4, Problem 15CRP

a.

Explanation of Solution

Determine the bit pattern of the dotted decimal pattern $0.0$:

• Convert each decimal notation to binary notation by dividing the number by $2$ until the quotient becomes $0$.
• Convert $0$ to bit pattern.

  $\begin{array}{ccc}2& 0& \\ 2& 0& 0\\ 2& 0& 0\end{array}$

b.

Explanation of Solution

Determine the bit pattern of the dotted decimal pattern $\mathrm{26.19.1}$:

• Convert each decimal notation to binary notation by dividing the number by $2$ until the quotient becomes $0$.
• Convert $26$ to bit pattern.

  $\begin{array}{ccc}2& 26& \\ 2& 13& 0\\ 2& 6& 1\\ 2& 3& 0\\ 2& 1& 1\\ & 0& 1\end{array}$

Thus, the $8$ bits pattern of the number $26$ from bottom to top is $00011010$.

• Convert $19$ to bit pattern

c.

Explanation of Solution

Determine the bit pattern of the dotted decimal pattern $\mathrm{8.12.20.13}$:

• Convert each decimal notation to binary notation by dividing the number by $2$ until the quotient becomes $0$.
• Convert $8$ to bit pattern.

  $\begin{array}{ccc}2& 8& \\ 2& 4& 0\\ 2& 2& 0\\ 2& 1& 0\\ & 0& 1\end{array}$

Thus, the $8$ bits pattern of the number $8$ from bottom to top is $00001000$.

• Convert $12$ to bit pattern.

  $\begin{array}{ccc}2& 12& \\ 2& 6& 0\\ 2& 3& 0\\ 2& 1& 1\\ & 0& 1\end{array}$

Thus, the $8$ bits pattern of the number $12$ from bottom to top is $00001100$.

• Convert $20$ to bit pattern