does (11001010)2 - (1001011)2 = (1111111)2?

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
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does (11001010)2 - (1001011)2 = (1111111)2?

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Step 1

 (11001010)2 - (1001011)2 = (1111111)2

for implementing the subtraction, we first take  (1001011)2 's 1's complement.

as (11001010)2 has 6bits, therefore we have to add a '0' on the left-hand side of (1001011)

the complement of (01001011) is 10110100

now add the numbers,

                                    1 1 0 0 1 0 1 0

                                 + 1 0 1 1 0 1 0 0

                  carry->   1| 0 1 1 1 1 1 1 0  

             add the carry   0 1 1 1 1 1 1 0 

                                                        +1

                                      0 1 1 1 1 1 1 1

                             or we can write (1 1 1 1 1 1 1)2 

 

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