Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > The addition of 4-bit, two’s complement...
Start Learning for Free
The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results in
- a)0001 and an overflow
- b)1001 and no overflow
- c)0001 and no overflow
- d)1001 and an overflow
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The addition of 4-bit, two’s complement, binary numbers 1101 and...
No overflow
Most Upvoted Answer
The addition of 4-bit, two’s complement, binary numbers 1101 and...
Explanation:
Adding two 4-bit two’s complement binary numbers:
- Two’s complement is a method used to represent both positive and negative numbers in binary format.
- To add two binary numbers in two’s complement form, we simply add the two numbers together as if they were unsigned binary numbers.
- If there is an overflow (carry out of the most significant bit), it means the result is too large for the given number of bits.
Adding 1101 and 0100:
- 1101 represents -3 in decimal (since it is a two’s complement representation of 3 in binary).
- 0100 represents 4 in decimal.
- Adding -3 and 4 gives 1 in decimal, which is represented as 0001 in binary.
Checking for overflow:
- Since both input numbers are 4-bit numbers and the result is also a 4-bit number, there can be no overflow.
- Overflow occurs when the result of an arithmetic operation is too large to be represented by the given number of bits.
Therefore, the correct answer is option C - 0001 and no overflow.
Adding two 4-bit two’s complement binary numbers:
- Two’s complement is a method used to represent both positive and negative numbers in binary format.
- To add two binary numbers in two’s complement form, we simply add the two numbers together as if they were unsigned binary numbers.
- If there is an overflow (carry out of the most significant bit), it means the result is too large for the given number of bits.
Adding 1101 and 0100:
- 1101 represents -3 in decimal (since it is a two’s complement representation of 3 in binary).
- 0100 represents 4 in decimal.
- Adding -3 and 4 gives 1 in decimal, which is represented as 0001 in binary.
Checking for overflow:
- Since both input numbers are 4-bit numbers and the result is also a 4-bit number, there can be no overflow.
- Overflow occurs when the result of an arithmetic operation is too large to be represented by the given number of bits.
Therefore, the correct answer is option C - 0001 and no overflow.
Attention Computer Science Engineering (CSE) Students!
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Similar Computer Science Engineering (CSE) Doubts
Top Courses for Computer Science Engineering (CSE)View all
The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results ina)0001 and an overflowb)1001 and no overflowc)0001 and no overflowd)1001 and an overflowCorrect answer is option 'C'. Can you explain this answer?
Question Description
The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results ina)0001 and an overflowb)1001 and no overflowc)0001 and no overflowd)1001 and an overflowCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results ina)0001 and an overflowb)1001 and no overflowc)0001 and no overflowd)1001 and an overflowCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results ina)0001 and an overflowb)1001 and no overflowc)0001 and no overflowd)1001 and an overflowCorrect answer is option 'C'. Can you explain this answer?.
The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results ina)0001 and an overflowb)1001 and no overflowc)0001 and no overflowd)1001 and an overflowCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results ina)0001 and an overflowb)1001 and no overflowc)0001 and no overflowd)1001 and an overflowCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results ina)0001 and an overflowb)1001 and no overflowc)0001 and no overflowd)1001 and an overflowCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results ina)0001 and an overflowb)1001 and no overflowc)0001 and no overflowd)1001 and an overflowCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results ina)0001 and an overflowb)1001 and no overflowc)0001 and no overflowd)1001 and an overflowCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results ina)0001 and an overflowb)1001 and no overflowc)0001 and no overflowd)1001 and an overflowCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results ina)0001 and an overflowb)1001 and no overflowc)0001 and no overflowd)1001 and an overflowCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results ina)0001 and an overflowb)1001 and no overflowc)0001 and no overflowd)1001 and an overflowCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The addition of 4-bit, two’s complement, binary numbers 1101 and 0100 results ina)0001 and an overflowb)1001 and no overflowc)0001 and no overflowd)1001 and an overflowCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup