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Question: To find the twos complement of X, take the Boolean complement of each bit of X, and then add 1.  Show that the following is an equivalent definition. For an n-bit integer X, the twos complement of X is formed by treating X as an unsigned integer and calculating (2n - X). My Comments: I'm not exactly sure how to understand what this is asking for. I know that for positive numbers, the left most bit is a 0 to represent a negative value, and for negative numbers, a zero is placed at the left most bit to represent a negative value.

Question: To find the twos complement of X, take the Boolean complement of each bit of X, and then add 1.  Show that the following is an equivalent definition. For an n-bit integer X, the twos complement of X is formed by treating X as an unsigned integer and calculating (2n - X). My Comments: I'm not exactly sure how to understand what this is asking for. I know that for positive numbers, the left most bit is a 0 to represent a negative value, and for negative numbers, a zero is placed at the left most bit to represent a negative value.

Database System Concepts
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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Question:

To find the twos complement of X, take the Boolean complement of each bit of X, and then add 1.  Show that the following is an equivalent definition. For an n-bit integer X, the twos complement of X is formed by treating X as an unsigned integer and calculating (2n - X).

My Comments:

I'm not exactly sure how to understand what this is asking for. I know that for positive numbers, the left most bit is a 0 to represent a negative value, and for negative numbers, a zero is placed at the left most bit to represent a negative value.

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