For the following operation: write the operands as 2's complement binary numbers then perform the addition or subtraction operation shown. Show all work in binary operating on 4-bit numbers. 2 - 1
For the following operation: write the operands as 2's complement binary numbers then perform the addition or subtraction operation shown. Show all work in binary operating on 4-bit numbers. 2 - 1
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
For the following operation: write the operands as 2's complement binary numbers then perform the addition or subtraction operation shown. Show all work in binary operating on 4-bit numbers.
2 - 1
Expert Solution
Step 1
Operation: 2-1
Two's complement representation is used to represent the negative numbers.
- Two's complement of a number is calculated by adding 1 to one's complement number.
- The above subtraction operation can be converted into an addition operation by adding 4-bit binary number 2 with two's complement of binary number 1.
- Decimal Number "2 " Representation in 4- bit binary=0010
- Decimal Number "1" Representation in 4-bit binary=0001
The Two's complement of decimal Number "1" is done in the next step.
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