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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 i. ii. 75 ii. iii. -72 iii.

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 i. ii. 75 ii. iii. -72 iii.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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 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. 19 i. ii. 75 ii. iii. -72 ii. iv. -1 iv. (b) What integer does each of the following one's complement representations of length five represent? i. 111000 i. ii. 001100 ii. iii. 101110 iii. iv. 100101 iv. (c) What is the largest number that can be represented by a 9-bit number with 1's-complement?,
Transcribed Image Text: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 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. 19 i. ii. 75 ii. iii. -72 ii. iv. -1 iv. (b) What integer does each of the following one's complement representations of length five represent? i. 111000 i. ii. 001100 ii. iii. 101110 iii. iv. 100101 iv. (c) What is the largest number that can be represented by a 9-bit number with 1's-complement?,
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