Using the rules of overflow, prove that adding -107 and -40 is not possible in an 8-bit computer… 1 answer below »

Relax! Stop worrying about deadlines and let our professional writers help you. Hire an essay writer helper and receive a professional assignment before your deadline. We provide writing services for all types of academic assignments.


Order a Similar Paper Order a Different Paper

TASK

Overview

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.

Attachments:

Great students hand in great papers. Order our essay service if you want to meet all the deadlines on time and get top grades. Professional custom writing is the choice of goal-focused students. Word on the online streets is... we're simply the best!

Get a 15% discount on your order using the following coupon code SAVE15


Order a Similar Paper Order a Different Paper