Homework A - Metric Math

Review the Metric Math Refresher and solve these problems. Write all answers in the form of small integers accompanied by appropriate metric units. For example, write an answer as 4MB, not 4194304 bytes.

I don’t expect that these problems to be hard, but you do need to be able to do them quickly and easily throughout the semester, so practice until this sort of conversions come easily to you.

Careful: B indicates a byte, while b indicates a bit.

Write out your answers neatly, show your work, and upload a picture to Canvas.

1 - Memorize the powers of two up to 2^10 and binary metric prefixes up to Exa. Come up with a chant, a poem, a haiku, or something else to help you recite them daily. Practice with a friend or classmate, and write their name here.

2 - How many bytes can be addressed by a CPU with a 24-bit address bus?

3 - How many 2KB blocks are there in a standard 700MB CD-ROM?

4 - A mechanical disk drive takes about 10ms to write a single 4KB data block in the worst case. At this rate, how much data can it write in an hour?

5 - How many bytes can be addressed by a CPU with a 48-bit address bus?

6 - How many 16KB blocks are there in a 1TB hard disk?

7 - How long would it take to move 100GB of data over a USB-1.0 bus at 12Mb/s?

8 - … over a USB-3.0 bus at 4.8Gb/s?

9 - … over Gigabit Ethernet at 1Gbps?

10 - Suppose that you are designing a computer that requires 3GB of memory. What is the minimum number of address bits needed?