Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Transcribed Image Text:**2. Signed 2’s Complement Numbers Arithmetic**
For the following signed 2’s complement values:
A = 0xFF
B = 0x00
Perform actions (indicate overflow):
- A + B =
- A - B =
(Note: In signed 2's complement, 0xFF typically represents the value -1, and 0x00 represents 0. Please perform the arithmetic operations and check for overflow accordingly.)
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Step 1
Signed 2's Compliment numbers arithmetic
For the following signed 2's compliment values
A = 0xFF
B = 0x00
Perform actions (indicate overflow):
1)A+B=0xFF+0x00
First, find the 2's complement of the second number 0000 0000. So, for finding 2's complement, change all 0 to 1 and all 1 to 0 or find the 1's complement of the number 1111 1111. The 1's complement of the number 1111 1111 and add 1 to the LSB of the result 1111. So the 2's complement of number 1111 1111 is 1111 1111+1= 1 0000 0000
Add both the numbers, i.e., 1111 1111+ 1 0000 0000
1111 1111
+1 0000 0000
1 0000 0000
_______________________
By adding both numbers, we get the end-around carry 1. We discard the end-around carry. So, the addition of both numbers is 0 0
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