Problem 1:
a) A Computer uses IEEE-754 single precision format to represent floating points. What value (in decimal) the computer represents if the floating point is represented using the following binary digits. Show all the steps used in finding the answer.
00111111010100000000000000000000
b) Convert the following numbers. (Please show all steps; no marks will be awarded if no steps are shown)
i) 0xAD9 into 3-base representation
ii) 451g into 2-base (binary) representation
iii) 123.35 into octal representation (up to 3 octal points)
iv) 14.35g into decimal representation
Problem 2: Write a MARIE program that accepts an integer from the user, and if it is a prime number the program will output 1, otherwise, the program will output 0.
Examples:
If the user input is 17, the output would be 1
If the user input is 2, the output would be 1
If the user input is 15, the output would he 0
If the user input is -2, the output would be 0
You should write and run the program using MARIE simulator. Add enough comments to understand your code.
You do not have to include the .mas file in the submission. Instead, the code should be presented as a word-processed section in the assignment, not as an image.
Insert images to show you have tested the code with several possibilities.
Problem 3:
a) Explain with an example of what is meant by high-order interleaving and low-order interleaving in memory organisation.
b) Suppose we have a memory consisting of 32 4kx8-bit chips.
Show the address structure and module organisation when
i. high-order interleaving is used
ii. low-order interleaving is used.
Rationale:
This assessment task will assess the following learning outcome/s:
a) Be able to investigate and describe the essential elements of a computer and their functionalities.
b) Be able to apply an understanding of data representations and calculations to practical situations.
c) Be able to develop an elementary computer program.
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