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Add the following binary values: 10101010 + 11111110

Add the following binary values: 10101010 + 11111110

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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Assembly Programming
### Adding Binary Values: 10101010 + 11111110 This exercise involves adding two binary numbers and choosing the correct result from the given options. #### Problem Statement Add the following binary values: ``` 10101010 + 11111110 ``` #### Possible Answers - O 110101110 - O 110101000 - O 111101110 - O 111111000 #### Solution 1. Align the two binary numbers for addition: ``` 10101010 + 11111110 ``` 2. Add the two binary numbers starting from the rightmost bit. Remember to carry over any value greater than 1 to the next bit: ``` 10101010 + 11111110 ----------- 110101000 (Note: There will be carries in several positions) ``` 3. The detailed bit-by-bit addition is as follows: - 0 + 0 = 0 - 1 + 1 = 0 (carry 1) - 1 + 1 (with carry 1) = 1 (carry 1) - 0 + 1 (with carry 1) = 0 (carry 1) - Continue this process... Thus, the correct result of the binary addition is **110101000**. #### Answer The correct answer is: - O 110101000 Always double-check your binary arithmetic to make sure each bit and carry is correctly accounted for to avoid mistakes.
Transcribed Image Text:### Adding Binary Values: 10101010 + 11111110 This exercise involves adding two binary numbers and choosing the correct result from the given options. #### Problem Statement Add the following binary values: ``` 10101010 + 11111110 ``` #### Possible Answers - O 110101110 - O 110101000 - O 111101110 - O 111111000 #### Solution 1. Align the two binary numbers for addition: ``` 10101010 + 11111110 ``` 2. Add the two binary numbers starting from the rightmost bit. Remember to carry over any value greater than 1 to the next bit: ``` 10101010 + 11111110 ----------- 110101000 (Note: There will be carries in several positions) ``` 3. The detailed bit-by-bit addition is as follows: - 0 + 0 = 0 - 1 + 1 = 0 (carry 1) - 1 + 1 (with carry 1) = 1 (carry 1) - 0 + 1 (with carry 1) = 0 (carry 1) - Continue this process... Thus, the correct result of the binary addition is **110101000**. #### Answer The correct answer is: - O 110101000 Always double-check your binary arithmetic to make sure each bit and carry is correctly accounted for to avoid mistakes.
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