pls show every step thanks 210 bytes, not 103 For all questions involving sizes,

Question

pls show every step thanks

210 bytes, not 103 For all questions involving sizes, you should use base-2 units of size. For example, 1 KB bytes 1. [5 pts] How many nanoseconds (ns) are in 50 microseconds (us)? 2. [5 pts] How many milliseconds (ms) are in 0.25 seconds? 3. [5 pts] How many kilobytes (KB) are in 4 gigabytes (GB)? Use base-2 units of measure (i.e., 2", not 10). 4. [5 pts] How many megabytes (MB) are in 5 terabytes (TB)? Use base-2 units of measure. 5. [5 pts] What is the cycle time (in microseconds) of a CPU running at 2.6 KHz?

Explanation / Answer

1).1 microseconds = 10-6 seconds

1 nanosecond(ns) = 10-9 seconds

so, 50 microseconds = 50 * 10-6 seconds

adjust power of 10 in above equation so that it is -9.

50 microseconds = 50 * 10-6 * 10-3 / 10-3 = 50 * 10-9 * 103

put 10-9   as 1ns we get

50 microseconds = 50000 ns

2). 1 ms = 10-3 seconds

so, 1 seconds = 1/10-3 = 103 ms

0.25 seconds = 0.25 * 103 ms = 250 ms

3). 1 GB = 230 B......say equation 1

1KB = 210 B............say equation 2

divide equation 1 by equation 2

1 GB / 1 KB = 230 / 210 = 220

i.e 1 GB = 220 KB

4 GB = 4 * 220 KB = 222 KB

4). 1 TB = 240 B......say equation 1

1MB = 220 B............say equation 2

divide equation 1 by equation 2

1 TB / 1 MB = 240 / 220 = 220

i.e 1 TB = 220 MB

5 TB = 5 * 220 MB = 5* 220 MB

5).

frequency of CPU = 2.6 KHz

now,cycle time = 1/frequency of CPU

= 1/2.6 KHz

= (1/(2.6 * 103 ))s

= 0.38462 * 10-3 s

= 0.38462 * 10-3   * 10-3 / 10-3 s

= 0.38462 * 103 * 10-6 s

=384.62 microseconds

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