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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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can you show how you do it step by step please

This image shows an example of binary subtraction. Here are the details: ``` 1 1 0 0 0 1 - 0 1 1 0 1 1 ------------- ``` Explanation: - The top row `110001` represents the binary number being subtracted from. - The middle row `011011` represents the binary number that is being subtracted. - The line indicates the separation between the numbers and their resultant subtraction. Binary subtraction follows rules similar to decimal subtraction but operates within the base-2 number system. Each digit in the binary system can either be 0 or 1. In binary subtraction: 1. Subtract digit-wise from right to left. 2. If the top digit is greater than or equal to the bottom digit, subtract normally. 3. If the top digit is less than the bottom digit, borrow from the next left digit. Performing the binary subtraction for the example provided: - Rightmost: 1 (from 1) - 1 = 0 - Next: 0 (from 0) - 1 (borrow from 1 → becomes 10) = 1 (borrow left behind 1 → becomes 0) - Next: 1 (borrow from 1 becomes 2) - 0 = 1 - Next: 0 (from 0) - 1 (borrow from left digit 1 → becomes 10) = 1 (borrow left behind 1 → becomes 0) - Next: 1 (borrow from 1 becomes 2) - 1 = 0 - Leftmost: 1 - 0 = 1 So, the result of the binary subtraction `110001 - 011011` is: **011010**
Transcribed Image Text:This image shows an example of binary subtraction. Here are the details: ``` 1 1 0 0 0 1 - 0 1 1 0 1 1 ------------- ``` Explanation: - The top row `110001` represents the binary number being subtracted from. - The middle row `011011` represents the binary number that is being subtracted. - The line indicates the separation between the numbers and their resultant subtraction. Binary subtraction follows rules similar to decimal subtraction but operates within the base-2 number system. Each digit in the binary system can either be 0 or 1. In binary subtraction: 1. Subtract digit-wise from right to left. 2. If the top digit is greater than or equal to the bottom digit, subtract normally. 3. If the top digit is less than the bottom digit, borrow from the next left digit. Performing the binary subtraction for the example provided: - Rightmost: 1 (from 1) - 1 = 0 - Next: 0 (from 0) - 1 (borrow from 1 → becomes 10) = 1 (borrow left behind 1 → becomes 0) - Next: 1 (borrow from 1 becomes 2) - 0 = 1 - Next: 0 (from 0) - 1 (borrow from left digit 1 → becomes 10) = 1 (borrow left behind 1 → becomes 0) - Next: 1 (borrow from 1 becomes 2) - 1 = 0 - Leftmost: 1 - 0 = 1 So, the result of the binary subtraction `110001 - 011011` is: **011010**
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