For this assignment you are required to
- Demonstrate your understanding of number systems, such as decimal, binary, octal, and hexadecimal.
- Perform binary addition and subtraction using two’s complement.
- Solve bit manipulation problems using bitmasks.
- Derive the Boolean expression and produce the truth table for the given logic circuit diagram.
- Perform the process of encrypting and/or decoding the message with the help of
- Learning outcomes
This assessment is relevant to the Course Learning Outcomes CLOs 1-5.
- Assessment details
This assessment will determine your ability to
- Understand the concepts taught over the first 4 weeks of the course.
- Work independently in self-directed study to research the identified issues.
Prepare the answers to this assignment in an electronic format and convert to a single Acrobat PDF (.pdf) file for submission, with the filename being your student number (e.g.,S1234567_A1.pdf) containing all the answers to all the questions in this assignment.
Paper submissions are not accepted; if some parts of the assignment have been completed by hand, scan these in and include this in your electronic submission.
You should submit your assignment via Canvas ® Assignments ® Assignment 1 Submission.
You may resubmit the assignment if you need to, only the most recent version will be marked.
Please note the following.
- Clearly number each answer according to the numbering in this assignment specification (e.g.,Q1a, Q1b, Q1c, etc.).
- Use at least 12-point font size.
- It is your responsibility to correctly submit your files. Please verify that your submission is correctly submitted by downloading what you have submitted to see if your submitted file includes the correct content.
- Never leave submission to the last minute – you may have difficulty uploading files.
- You can submit multiple times – a new submission will override any earlier submissions.
However, if your final submission is after the due time, late penalties will apply.
- Academic integrity and plagiarism (standard warning)
Do not ever simply copy and paste what another writer has written. This is stealing. What we need is your own words – your own understanding. If you try to represent someone else’s work as your own, it will be dealt with severely. Instead, we want you to paraphrase what others have said – to put the concepts they have discussed into your own words.
- Rubric and marking guidelines
The rubric can be found in Canvas ® Assignments ® Assignment 1.
Submission files not in the required format will not be marked.
A penalty of 10% per day of the total available marks will apply for each day being late. After 5 days, you will receive zero mark for the assignment.
If you want to seek an extension of time for assignment submission, you must have a substantial reason for that, such as unexpected circumstances. Reasons such as, unable to cope with study load, is not substantial. Also, you must apply for an extension as soon as possible. Last minute extensions cannot be granted unless it attracts special consideration.
Please find out how to apply for special consideration online at
Any student wishing an extension must go through the official procedure for applying for extensions and must apply at least a week before the due date. Do not wait till the submission due date to apply for an extension.
- Assignment questions
This assignment has 5 questions and students are required to answer all questions.
Question 1 – Number Systems (30 marks)
Give answer to the following questions, show all your working out and intermediate steps.
For the questions (a) to (d), use the last four digits of your student number. For example, if your student number is “s1234567”, then use X=4567 for this question. If any of these digits is a “0”, use
a) (3 marks) Convert X from decimal to binary.
b) (2.5+2.5 = 5 marks) Convert the binary string obtained from your answer to (a) into octal and hexadecimal.
c) (5 marks) Convert X from decimal to base 13, where A, B and C correspond to 10, 11, and 12 respectively.
d) (7 marks) Now add 5210 (52 in decimal) to X and calculate the sum in base 13. Consider the following two calculations:
(2 marks) Conversion before addition: convert 5210 into base 13, then add the two base 13 numbers.
(2 marks) Addition before conversion: add 5210 to X in decimal, then convert the decimal sum into base 13.
(3 marks) Which calculation is simpler? Please explain your answer. How many digits are different from your answer to (c)?
- e) (10 marks) Consider a base 26 number system wherein the letters of the alphabet are the digits. That is, A=0, B=1, C=2, … Z=25 in base 10. Use the first three letters of your given name as a number in the base 26 system, and the first three letters of your surname as another number in the base 26 system. Add these two numbers together to obtain the sum in based 26.
Note: If your given name has letters less than two, repeat the last letter. Then a similar way is applied for your surname.
Example 1 — if your first name is “Pe” and your surname is “Pa”, then add up PEE26 and PAA26, and show the sum in base 26.
Example 2 — if your first name is “Peter” and your surname is “Pa”, then add up PET26 and PAA26, and show the sum in base 26.
Example 3 — if your first name is “Pe” and your surname is “Pan”, then add up PEE26 and PAN26, and show the sum in base 26.
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