Custom Writing Help For You!

Special Discounts Offers! 20-30% Off!

Posted: April 22nd, 2020

Assessment item – Data Representation & Digital Logic TASK

Assessment item – Data Representation & Digital Logic
This assessment consists of two questions. The first one looks into how computers represent data and how we can interconvert these representations. The second question looks at finding a Boolean expression for an output variable given a truth table and then drawing a logic circuit diagram using a simulator and testing for errors.
Question 1 – Data Representation in Computer [3 + 4 marks]
(a) Using the rules of overflow, prove that adding -107 and -40 is not possible in an 8-bit computer using 2’s complement integers. Show all workings.
(b) A 16-bit floating point representation is defined like this: 1 bit for sign, 6 bits for exponent and 9 bits for significand. Floating point number must be normalized (in the form 0.1… × 2exp). Exponent is stored in one’s complement representation. Significand is stored as is without any hidden bits. Find out the smallest positive number that can be stored in such a system. Work out its (i) 16 bit binary (ii) equivalent base 10 number in scientific notation. Show all workings.
Important: For both questions, ZERO marks will be awarded if all mathematical workings are not shown.

Question 2 – Boolean Algebra and Circuits [2 + 2 + 4 marks]
(a) Given the truth table below, find out a Boolean expression for output variable Z in the canonical sum of products form.

(b) For the original (non-simplified) Boolean expression derived in part (a), draw a logic circuit diagram using the ‘Logisim Evolution’ simulator. Submit the screenshot of completed circuit, as well as the Logisim file as part of the assignment, as described later. Hand-drawn diagrams will not be accepted. Make sure you test all the 16 combinations from the truth table to ensure there are no errors in the circuit.
Click here to download Logisim Evolution. Do not get it from external sources. Before you can run it, you must have Java installed on your computer. If required, you can get it from
For guidance on how to use Logisim, watch this demo video.
(c) Simplify the Boolean expression from part (a) using the laws of Boolean algebra. Show all the simplification steps and name the law used for simplification at each step.

Submission Format
Your submission should include a pdf document containing answer to both questions. Secondly you need to provide the logisim file for Q2 (b). Compress both files into a ZIP archive and upload the zip file to TURNITIN.
This assessment task will assess the following learning outcome/s:
• be able to define and appropriately use computer systems terminologies.
• be able to describe the concepts of data representations and use appropriate methods of implementation.
• be able to apply Boolean algebra and digital logic to understand computer operation.
This assessment item covers topics 1, 2 and 3. It has been designed to ensure that you are engaging with the subject content on a regular basis.

Criteria HD
Comprehension of concepts of data representation
7 Marks Implements appropriate mathematical methods to arrive at correct answers. Shows all steps and all calculations are accurate.
Development of a Boolean expression and logic circuit from truth table
4 Marks Sum of Products expression is correct.
Logisim circuit correctly implements the Boolean expression.
Simplification of Boolean expression using laws of Boolean algebra
4 marks Simplification is correct showing all steps and correctly identifies all the Boolean laws used.

Order for this Paper or similar Answer/Assignment Writing Service

Place your order by filling a guided instructions form in 3 easy steps.

Why choose our Study Bay Services?

Like every student, Focusing on achieving the best grades is our main goal

Top Essay Writers

We have carefully cultivated a team of exceptional academic writers, each with specialized expertise in particular subject areas and a proven track record of research writing excellence. Our writers undergo rigorous screening and evaluation to ensure they hold relevant advanced degrees and demonstrate mastery of English grammar, citation style, and research methodology. Recent projects completed by our writers include research papers on topics such as sustainable energy policy, cognitive behavioral therapy, and molecular genetics.

Student-Based Prices

We prioritize attracting highly skilled writers through competitive pay and strive to offer the most cost-effective services for students. References from recent years include surveys of customer satisfaction with online writing services conducted by the American Customer Satisfaction Index between 2018 to 2022, demonstrating our commitment to balancing affordable costs with high standards of work through positive reviews and retention of expert writers.

100% Plagiarism-Free

We guarantee 100% original and plagiarism-free final work through a thorough scanning of every draft copy using advanced plagiarism detection software before release, ensuring authentic and high-quality content for our valued customers. To note, we also do not generate assignment content with AI tool, thus you a guaranteed 0% similarity index for your final research paper.

How it works

When you decide to place an order with Study Pro Essay, here is what happens:

Complete the Order Form

You will complete our order form, filling in all of the fields and giving us as much detail as possible.

Assignment of Writer

We analyze your order and match it with a writer who has the unique qualifications to complete it, and he begins from scratch.

Order in Production and Delivered

You and,the support and your writer communicate directly during the process, and, once you receive the final draft, you either approve it or ask for revisions.

Giving us Feedback (and other options)

We want to know how your experience went. You can read other clients’ testimonials too. And among many options, you can choose a favorite writer.