Summary

This document explains the concept of signed integers in computer science, covering different representations like sign-and-magnitude, ones-complement, and twos-complement. It provides examples demonstrating the conversion between decimal and binary representations.

Full Transcript

Signed Integers Historically: 3 approaches could be used. Sign-and-magnitude Ones-complement Twos-complement For all 3, the most-significant bit (MSB) is the sign digit 0 ≡ positive 1 ≡ negative Twos-complement is the important one (Simplifies arithmetic - Used almost universally)...

Signed Integers Historically: 3 approaches could be used. Sign-and-magnitude Ones-complement Twos-complement For all 3, the most-significant bit (MSB) is the sign digit 0 ≡ positive 1 ≡ negative Twos-complement is the important one (Simplifies arithmetic - Used almost universally) Signed Integers Signed Integers Signed Integers Get the representation of ones complement (6 bit) for the following numbers: i) +710 ii) –1010 Solution: Solution: (+7) = 0001112 (+10)10 = 0010102 So, (-10)10 = 1101012

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