Chapter 1, Problem 2E

a.

Explanation of Solution

Explanation:

According to measurement unit, one second is equal to 10³ milliseconds. It is mathematically represented as follows

$\text{1}\text{second}\text{=}{\text{10}}^{\text{3}}\text{milliseconds}$

b.

Explanation of Solution

Explanation:

According to measurement unit, one second is equal to 10⁶ microseconds. It is mathematically represented as follows

$\text{1}\text{second}\text{=}{\text{10}}^6\text{microseconds}$

c.

Explanation of Solution

Explanation:

According to measurement unit, one millisecond is equal to 10⁶ nanoseconds. It is mathematically represented as follows

$\text{1}milli\text{second}\text{=}{\text{10}}^{6}nano\text{seconds}$

d.

Explanation of Solution

Explanation:

According to measurement unit, one millisecond is equal to 10³ microseconds. It is mathematically represented as follows

$\text{1}milli\text{second}\text{=}{\text{10}}^{\text{3}}\text{microseconds}$

e.

Explanation of Solution

Explanation:

According to measurement unit, one microsecond is equal to 10³ nanoseconds. It is mathematically represented as follows

$\text{1}micro\text{second}\text{=}{\text{10}}^{\text{3}}nano\text{seconds}$

f.

Explanation of Solution

Explanation:

$\text{1}\text{Byte}\text{=}\text{8}\text{bits}$

$\text{1}Kilo\text{Byte}(KB)\text{=}1024Bytes$

$\text{1}Mega\text{Byte}(MB)\text{=}1024KB$

$\text{1}Giga\text{Byte}(GB)\text{=}1024MB$

$\text{1}GB\text{=}1024\times 1024MB$

$\text{1}GB\text{=}{10}^{6}or{2}^{20}KB$

Therefore, one Giga Byte is equal to ${10}^{6}or{2}^{20}$ Kilo Bytes.

g.

Explanation of Solution

Explanation:

$\text{1}\text{Byte}\text{=}\text{8}\text{bits}$

$\text{1}Kilo\text{Byte}(KB)\text{=}1024Bytes$

$\text{1}Mega\text{Byte}(MB)\text{=}1024KB$

Therefore, one Mega Byte is equal to ${10}^{3}or{2}^{10}$ Kilo Bytes.

h.

Explanation of Solution

Explanation:

$\text{1}\text{Byte}\text{=}\text{8}\text{bits}$

$\text{1}Kilo\text{Byte}(KB)\text{=}1024Bytes$

$\text{1}Mega\text{Byte}(MB)\text{=}1024KB$

$\text{1}Giga\text{Byte}(GB)\text{=}1024MB$

Therefore, one Giga Byte is equal to ${10}^{3}or{2}^{10}$ Mega Bytes.

i.

Explanation of Solution

Explanation:

$\text{1}\text{Byte}\text{=}\text{8}\text{bits}$

$\text{1}Kilo\text{Byte}(KB)\text{=}1024Bytes$

$\text{1}Mega\text{Byte}(MB)\text{=}1024KB$

$\text{1}\text{MB}\text{=}\text{1024}\text{×}\text{1024}\text{Bytes}$

$\text{1}MB\text{=}{2}^{20}Bytes$

$\begin{array}{c}\text{20}\text{MB}\text{=}\text{20}\text{×}{\text{2}}^{\text{20}}\text{Bytes}\\ \text{=}\text{10}\text{×}{\text{2}}^{\text{21}}\text{Bytes}\end{array}$

Therefore, 20 Mega Bytes is equal to $\text{10}\text{×}{\text{2}}^{\text{21}}$ Bytes.

j.

Explanation of Solution

Explanation:

$\text{1}\text{Byte}\text{=}\text{8}\text{bits}$

$\text{1}Kilo\text{Byte}(KB)\text{=}1024Bytes$

$\text{1}Mega\text{Byte}(MB)\text{=}1024KB$

$\text{1}Giga\text{Byte}(GB)\text{=}1024MB$

$\text{1}GB\text{=}1024\times 1024MB$

$\text{1}GB\text{=}{2}^{20}KB$

$\begin{array}{c}\text{2}\text{GB}\text{=}\text{2}\text{×}{\text{2}}^{\text{20}}\text{KB}\\ \text{=}{\text{2}}^{\text{21}}\text{KB}\end{array}$

Therefore, two Giga Bytes is equal to $2^{21}$ Kilo Bytes.