One's complement representations of integers is used to simplify computer arithmetic, while representing bothpositive and negative values in bits (base 2). A n-bit number represents positive and negative integers with absolutevalue less than 2"-1, The leftmost bit is used to represent the sign. A 0 bit in this position is used for positive integers,and a 1 bit in this position is used for negative integers. When a value is negative, the magnitude of the value isrepresented by the rest of the bits, but the l's and O's flipped.For example: The number –5 expressed in 4-bit 1s-complement is 1010: the first bit indicates it's a negative number.The last 3 bits, when flipped to 101, is the base-2 representation of 510.(a) Find the one's complement representations, using bit strings of length six, of the following integers.i. 19i.ii. 75ii.iii. -72ii.iv. -1iv.(b) What integer does each of the following one's complement representations of length five represent?i. 111000ii. 001100i.ii.iii. 101110ii.iv. 100101iy.ii.What is the smallest number that can be represented by a 9-bit number in l's-complement?

The one's complement of a number is to invert binary bits from 1 => 0 and 0 => 1. The one's…

One's complement representations of integers is used to simplify computer arithmetic, while representing both positive and negative values in bits (base 2). A n-bit number represents positive and negative integers with absolute value less than 2"-1. The leftmost bit is used to represent the sign. A 0 bit in this position is used for positive integers, and a 1 bit in this position is used for negative integers. When a value is negative, the magnitude of the value is represented by the rest of the bits, but the l's and 0's flipped. For example: The number –5 expressed in 4-bit 1s-complement is 1010: the first bit indicates it's a negative number. The last 3 bits, when flipped to 101, is the base-2 representation of 510- (a) Find the one's complement representations, using bit strings of length six, of the following integers. i. 19 ii. 75 i. ii. iii. -72 iii. iv. -1 iv. (b) What integer does each of the following one's complement representations of length five represent? i. 111000 i. ii. 001100 iii. 101110 ii. iii. iv. 100101 iy. ii. What is the smallest number that can be represented by a 9-bit number in l's-complement?

One's complement representations of integers is used to simplify computer arithmetic, while representing both positive and negative values in bits (base 2). A n-bit number represents positive and negative integers with absolute value less than 2"-1. The leftmost bit is used to represent the sign. A 0 bit in this position is used for positive integers, and a 1 bit in this position is used for negative integers. When a value is negative, the magnitude of the value is represented by the rest of the bits, but the l's and 0's flipped. For example: The number –5 expressed in 4-bit 1s-complement is 1010: the first bit indicates it's a negative number. The last 3 bits, when flipped to 101, is the base-2 representation of 510- (a) Find the one's complement representations, using bit strings of length six, of the following integers. i. 19 ii. 75 i. ii. iii. -72 iii. iv. -1 iv. (b) What integer does each of the following one's complement representations of length five represent? i. 111000 i. ii. 001100 iii. 101110 ii. iii. iv. 100101 iy. ii. What is the smallest number that can be represented by a 9-bit number in l's-complement?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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