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 0...
The addition results in 0001 and no overflow with 1 as carry bit.
In 2's complement addition Overflow happens only when :
- Sign bit of two input numbers is 0, and the result has sign bit 1.
- Sign bit of two input numbers is 1, and the result has sign bit 0.
Most Upvoted Answer
The addition of 4-bit, two's complement, binary numbers 1101 and 0...
Adding Binary Numbers
When adding binary numbers, we follow the same rules as when adding decimal numbers. We start with the least significant bit (LSB) and add each corresponding pair of bits, taking into account any carry from the previous column.
For example, let's add the binary numbers 1101 and 0100:
1101
+ 0100
------
0001
In this case, we don't have any carry from the previous column, so we simply add the bits in each column to get the result.
Twos Complement Representation
In twos complement representation, negative numbers are represented by inverting all the bits and adding one. For example, the twos complement of 0101 (5 in binary) is 1011 (-5 in twos complement).
To add twos complement numbers, we simply add them as if they were unsigned binary numbers, and then discard any overflow. An overflow occurs when the result of the addition cannot be represented with the given number of bits.
For example, let's add the twos complement numbers 1101 and 0100:
1101
+ 0100
------
10001
In this case, we have an overflow because the result is a 5-bit number, and we only have 4 bits to represent it. We discard the overflow bit to get the final result, which is:
0001
Answer
In the given question, we are asked to add the twos complement numbers 1101 and 0100. Following the above steps, we get:
1101
+ 0100
------
0001
Since we don't have any overflow, the correct answer is option 'C': 0001 and no overflow.
When adding binary numbers, we follow the same rules as when adding decimal numbers. We start with the least significant bit (LSB) and add each corresponding pair of bits, taking into account any carry from the previous column.
For example, let's add the binary numbers 1101 and 0100:
1101
+ 0100
------
0001
In this case, we don't have any carry from the previous column, so we simply add the bits in each column to get the result.
Twos Complement Representation
In twos complement representation, negative numbers are represented by inverting all the bits and adding one. For example, the twos complement of 0101 (5 in binary) is 1011 (-5 in twos complement).
To add twos complement numbers, we simply add them as if they were unsigned binary numbers, and then discard any overflow. An overflow occurs when the result of the addition cannot be represented with the given number of bits.
For example, let's add the twos complement numbers 1101 and 0100:
1101
+ 0100
------
10001
In this case, we have an overflow because the result is a 5-bit number, and we only have 4 bits to represent it. We discard the overflow bit to get the final result, which is:
0001
Answer
In the given question, we are asked to add the twos complement numbers 1101 and 0100. Following the above steps, we get:
1101
+ 0100
------
0001
Since we don't have any overflow, the correct answer is option 'C': 0001 and no overflow.
Free Test
FREE
| Start Free Test |
Community Answer
The addition of 4-bit, two's complement, binary numbers 1101 and 0...
Its -3+4=1, so 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