Chapter 4, Problem 14CRP

a.

Explanation of Solution

Encode the bit pattern $000001010001001000100011$ using dotted decimal:

• Break the $24$ bit patterns into $3$ byte patters. Thus, the $3$ byte patterns is, $00000101\_00010010\_00100011$
• Convert $00000101$ to base ten representation.

  $\begin{array}{c}0\times 2^7+0\times 2^6+0\times 2^5+0\times 2^4+0\times 2^3+1\times 2^2+0\times 2^1+1\times 2^0=4+1\\ =5\end{array}$

• Convert $00010010$ to base ten representation

b.

Explanation of Solution

Encode the bit pattern $1000000000100000$ using dotted decimal:

• Break the $16$ bit patterns into $2$ byte patters. Thus, the $2$ byte patterns is,$10000000\_00100000$.
• Convert $10000000$ to base ten representation.

$1\times 2^7+0\times 2^6+0\times 2^5+0\times 2^4+0\times 2^3+0\times 2^2+0\times 2^1+0\times 2^0=128$

• Convert $00100000$ to base ten representation

c.

Explanation of Solution

Encode the bit pattern $0011000000011000$ using dotted decimal:

• Break the $16$ bit patterns into $2$ byte patters. Thus, the $2$ byte patterns is,$00110000\_00011000$.
• Convert $00110000$ to base ten representation.

$\begin{array}{c}0\times 2^7+0\times 2^6+1\times 2^5+1\times 2^4+0\times 2^3+0\times 2^2+0\times 2^1+0\times 2^0=32+16\\ =48\end{array}$

• Convert $00011000$ to base ten representation