bases and number representations  Q

Bases and Number Representations question, working out please.

One byte is an 8-bit number; for example, 00000001. A byte can represent decimal numbers from 0 to 255, and is historically the smallest addressable unit of memory in a computer.

Write down two bytes as binary numbers. Your first number, m, should have a leading digit of 1 and contain three ones in total. Your second number, n, should contain four ones.

(a) Convert each of your numbers m and n to decimal, octal and hexadecimal.

(b) Add your two numbers m and n in binary, leaving your answer as a binary number.

(c) Add the hexadecimal representations of m and n. Convert the hexadecimal sum back to binary and show that the result agrees with your answer in (b).

(d) Write down a fraction k/20 where k is not a multiple of 5, and write it as a decimal, e.g. 0.45 Convert this decimal fraction to a binary number, finding the first six digits of the answer. What do you think will happen if you compute more digits?

(e) Reflect on your answer to part (d): what problems might this cause in computer science?

  • This problem has roughly 10 parts and very time consuming to answer. The offered bounty is low.

  • how much is it worth

  • Maybe 5 more?

  • It'll take about an hour to answer this question. The offered a bounty that's worth the time.

  • My second sentence is messed up. I meant "Offer a bounty that's worth the time".


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  • For m, don't you have 4 1's in total not 3?

  • Yes, I think I got it backwards

  • I will add a second file. Sorry for the mistakes.

  • Check Number representations v2 please

The answer is accepted.