Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > 2's complement representation of a 16 bit num...
Start Learning for Free
2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation is
- a)0
- b)1
- c)32676
- d)65, 535
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
2's complement representation of a 16 bit number (one sign bit and 15 ...
Introduction:
In 2's complement representation, the most significant bit (MSB) represents the sign of the number. If the MSB is 0, the number is positive, and if the MSB is 1, the number is negative. The remaining bits represent the magnitude of the number.
Given information:
- The number has a 16-bit representation.
- The 2's complement representation is FFFF.
Analysis:
- The given 2's complement representation is FFFF, which means the MSB is 1 and the remaining bits are all 1s.
- Since the MSB is 1, the number is negative.
- To find the magnitude of the number, we need to convert the remaining bits (all 1s) from binary to decimal.
Conversion from binary to decimal:
- The given number has 15 magnitude bits, which can represent numbers from 0 to 2^15 - 1.
- In this case, all the magnitude bits are 1s, which represents the maximum value for a 15-bit number.
- The maximum value for a 15-bit number is 2^15 - 1 = 32767.
Calculating the magnitude:
- Since the number is negative, the magnitude will be negative as well.
- To calculate the magnitude, we subtract the magnitude value (32767) from 0.
- Magnitude = 0 - 32767 = -32767.
Converting to decimal representation:
- The magnitude of the number is -32767.
- Therefore, the decimal representation of the given 2's complement number is -32767.
Conclusion:
The magnitude of the given 2's complement representation (FFFF) in decimal form is -32767. Therefore, option B (1) is the correct answer.
In 2's complement representation, the most significant bit (MSB) represents the sign of the number. If the MSB is 0, the number is positive, and if the MSB is 1, the number is negative. The remaining bits represent the magnitude of the number.
Given information:
- The number has a 16-bit representation.
- The 2's complement representation is FFFF.
Analysis:
- The given 2's complement representation is FFFF, which means the MSB is 1 and the remaining bits are all 1s.
- Since the MSB is 1, the number is negative.
- To find the magnitude of the number, we need to convert the remaining bits (all 1s) from binary to decimal.
Conversion from binary to decimal:
- The given number has 15 magnitude bits, which can represent numbers from 0 to 2^15 - 1.
- In this case, all the magnitude bits are 1s, which represents the maximum value for a 15-bit number.
- The maximum value for a 15-bit number is 2^15 - 1 = 32767.
Calculating the magnitude:
- Since the number is negative, the magnitude will be negative as well.
- To calculate the magnitude, we subtract the magnitude value (32767) from 0.
- Magnitude = 0 - 32767 = -32767.
Converting to decimal representation:
- The magnitude of the number is -32767.
- Therefore, the decimal representation of the given 2's complement number is -32767.
Conclusion:
The magnitude of the given 2's complement representation (FFFF) in decimal form is -32767. Therefore, option B (1) is the correct answer.
Free Test
FREE
| Start Free Test |
Community Answer
2's complement representation of a 16 bit number (one sign bit and 15 ...
0 is correct
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation isa)0b)1c)32676d)65, 535Correct answer is option 'B'. Can you explain this answer?
Question Description
2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation isa)0b)1c)32676d)65, 535Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about 2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation isa)0b)1c)32676d)65, 535Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation isa)0b)1c)32676d)65, 535Correct answer is option 'B'. Can you explain this answer?.
2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation isa)0b)1c)32676d)65, 535Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about 2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation isa)0b)1c)32676d)65, 535Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation isa)0b)1c)32676d)65, 535Correct answer is option 'B'. Can you explain this answer?.
Solutions for 2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation isa)0b)1c)32676d)65, 535Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of 2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation isa)0b)1c)32676d)65, 535Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation isa)0b)1c)32676d)65, 535Correct answer is option 'B'. Can you explain this answer?, a detailed solution for 2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation isa)0b)1c)32676d)65, 535Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of 2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation isa)0b)1c)32676d)65, 535Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 2's complement representation of a 16 bit number (one sign bit and 15 magnitude bit) is FFFF. Its magnitude in decimal representation isa)0b)1c)32676d)65, 535Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup