GATE Exam > GATE Questions > X = 01110 and Y = 11001 are two 5-bit binary ...
Start Learning for Free
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits is
- a)110111
- b)001000
- c)000111
- d)101001
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in tw...
's complement notation. To subtract Y from X using two's complement notation, we can follow the following steps:
1. Find the two's complement of Y:
- Invert all the bits in Y: 11001 becomes 00110.
- Add 1 to the inverted value: 00110 + 1 = 00111.
- The two's complement of Y is 00111.
2. Add X and the two's complement of Y:
- X = 01110
- Two's complement of Y = 00111
- X + two's complement of Y = 01110 + 00111 = 10101
3. Ignore the carry-out from the leftmost bit (if any), and the result is 0101.
Therefore, X - Y in two's complement notation is 0101.
1. Find the two's complement of Y:
- Invert all the bits in Y: 11001 becomes 00110.
- Add 1 to the inverted value: 00110 + 1 = 00111.
- The two's complement of Y is 00111.
2. Add X and the two's complement of Y:
- X = 01110
- Two's complement of Y = 00111
- X + two's complement of Y = 01110 + 00111 = 10101
3. Ignore the carry-out from the leftmost bit (if any), and the result is 0101.
Therefore, X - Y in two's complement notation is 0101.
Free Test
FREE
| Start Free Test |
Community Answer
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in tw...
To represent a given 5-bit number using 6- bits in a 2's complement representation, we simply copy the MSB bit as it is till we get the required 6 bits, i.e.
X = 01110 = 001110
Y = 11001 =111001
Ignoring the carry, we get the addition of the two in 2's complement number as:
∴ x + y = 000111
X = 01110 = 001110
Y = 11001 =111001
Ignoring the carry, we get the addition of the two in 2's complement number as:
∴ x + y = 000111
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer?
Question Description
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer?.
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer?.
Solutions for X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer?, a detailed solution for X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice X = 01110 and Y = 11001 are two 5-bit binary numbers represented in two’s complement format. The sum of X and Y represented in two’s complement format using 6 bits isa)110111b)001000c)000111d)101001Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE 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