Question 1 — Number Systems
Please answer the following questions, showing all your working out and intermediate steps.
b.Convert the last five digits of your RMIT student number to base 12, where 1010=A13, 1110=B13.
Note: If one of these has less than three letters, repeat the last letter, e.g. LI become LII.
Example 1 — if your first name is “Lara” and your surname is “Croft”, then add up LAR26 and OFT26, and show the sum in base 26.
Example 2 — if your first name is “Lara” and your surname is “Ft”, then add up LAR26 and FTT26, and show the sum in base 26.
Question 2 — Binary Addition and Subtraction (13 marks)
Please answer the following questions, showing all your working out and intermediate steps. For this question, use the last two digits of your student number. (For example, if your student number is “s1234567”, then A=7 and B=6; −A=−7 and −B=−6.) If either of these digits is a “0”, use 9 instead.
Carrier Sense Multiple Access/Collision Detect (CSMA/CD) is a major protocol used in Ethernet and standardised as 802.3
Do some research and find out how real (floating point) numbers are represented in Binary.
If either of these digits is a “0”, use 9 instead.
(i) Show how x and y would be represented using your 16-bit representation.
(ii) Show in detail, the various steps needed to add together the two numbers x and y. d. When adding up a large number of floating point numbers, in what order should they be added together to get the most accurate result? Explain why with an example
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