Purchase Solution

Signed number representations

Not what you're looking for?

Ask Custom Question

Using a "word" of 15 bits, list all of the possible signed binary numbers and their decimal equivalents in following representations.

a. Signed magnitude
b. One's complement
c. Two's complement

Purchase this Solution

Solution Summary

Since list of numbers is practically very huge to enumerate every number, hence the range of numbers is given in the answers. It also has brief explanation on how values are represented in each of the mentioned representations. Signed magnitudes, one's complement and two's complement is examined.

Solution Preview

Since list of numbers is practically very huge to enumerate every number here, hence the range of numbers is given in the answers below. Numbers with suffix B denote binary values, and numbers without any suffix denote decimal values.

a. In signed magnitude representation, MSB (most significant bit) is used for indicating sign (0: positive, 1:negative) and remaining bits are used to represent the magnitude of the number.

The range of magnitude that can be represented with 14 bits is 0 to (2^14 - 1) i.e 0 to 16383.

Hence the signed numbers representable in ...

Purchase this Solution

Free BrainMass Quizzes
Excel Introductory Quiz

This quiz tests your knowledge of basics of MS-Excel.

Word 2010: Table of Contents

Ever wondered where a Table of Contents in a Word document comes from? Maybe you need a refresher on the topic? This quiz will remind you of the keywords and options used when working with a T.O.C. in Word 2010.

Basic Networking Questions

This quiz consists of some basic networking questions.

Inserting and deleting in a linked list

This quiz tests your understanding of how to insert and delete elements in a linked list. Understanding of the use of linked lists, and the related performance aspects, is an important fundamental skill of computer science data structures.

Basic UNIX commands

Use this quiz to check your knowledge of a few common UNIX commands. The quiz covers some of the most essential UNIX commands and their basic usage. If you can pass this quiz then you are clearly on your way to becoming an effective UNIX command line user.