Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Let X be the number of distinct 16-bit intege...
Start Learning for Free
Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Y be the number of distinct -bit integers in sign magnitude representation Then X Y is______.
Correct answer is '1'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Let X be the number of distinct 16-bit integers in 2`s complement repr...
For N bits, Distinct values represented in 2's complement is -2n-1 to 2n-1 -1
Distinct values represented in Signed Magnitude is -(2n-1 -1) to 2n-1 -1
Difference is 1.
Distinct values represented in Signed Magnitude is -(2n-1 -1) to 2n-1 -1
Difference is 1.
Most Upvoted Answer
Let X be the number of distinct 16-bit integers in 2`s complement repr...
Number of distinct 16-bit integers in 2's complement representation (X)
To find the number of distinct 16-bit integers in 2's complement representation, we need to consider the range of values that can be represented using 16 bits in 2's complement.
Range of 2's complement representation
In 2's complement representation, the leftmost bit (MSB) is reserved for sign, and the remaining bits represent the magnitude of the number. The MSB is 0 for positive numbers and 1 for negative numbers.
For a 16-bit representation, the MSB can be either 0 or 1, giving us two possibilities. The remaining 15 bits can represent values from 0 to 2^15-1 (since the MSB is reserved for sign). Therefore, the total number of distinct 16-bit integers in 2's complement representation is:
X = 2 * 2^15 = 2^16
Number of distinct -bit integers in sign magnitude representation (Y)
To find the number of distinct -bit integers in sign magnitude representation, we need to consider the range of values that can be represented using -bit sign magnitude representation.
Range of sign magnitude representation
In sign magnitude representation, the leftmost bit (MSB) is reserved for sign, and the remaining bits represent the magnitude of the number. The MSB is 0 for positive numbers and 1 for negative numbers.
For an -bit representation, the MSB can be either 0 or 1, giving us two possibilities. The remaining bits can represent values from 0 to 2^(-1+2-1) (since the MSB is reserved for sign). Therefore, the total number of distinct -bit integers in sign magnitude representation is:
Y = 2 * 2^(-1+2-1) = 2^0 = 1
Conclusion: X Y = 2^16 * 1 = 2^16 = 1
The product of X and Y is 1, which means that the number of distinct 16-bit integers in 2's complement representation is equal to the number of distinct -bit integers in sign magnitude representation.
To find the number of distinct 16-bit integers in 2's complement representation, we need to consider the range of values that can be represented using 16 bits in 2's complement.
Range of 2's complement representation
In 2's complement representation, the leftmost bit (MSB) is reserved for sign, and the remaining bits represent the magnitude of the number. The MSB is 0 for positive numbers and 1 for negative numbers.
For a 16-bit representation, the MSB can be either 0 or 1, giving us two possibilities. The remaining 15 bits can represent values from 0 to 2^15-1 (since the MSB is reserved for sign). Therefore, the total number of distinct 16-bit integers in 2's complement representation is:
X = 2 * 2^15 = 2^16
Number of distinct -bit integers in sign magnitude representation (Y)
To find the number of distinct -bit integers in sign magnitude representation, we need to consider the range of values that can be represented using -bit sign magnitude representation.
Range of sign magnitude representation
In sign magnitude representation, the leftmost bit (MSB) is reserved for sign, and the remaining bits represent the magnitude of the number. The MSB is 0 for positive numbers and 1 for negative numbers.
For an -bit representation, the MSB can be either 0 or 1, giving us two possibilities. The remaining bits can represent values from 0 to 2^(-1+2-1) (since the MSB is reserved for sign). Therefore, the total number of distinct -bit integers in sign magnitude representation is:
Y = 2 * 2^(-1+2-1) = 2^0 = 1
Conclusion: X Y = 2^16 * 1 = 2^16 = 1
The product of X and Y is 1, which means that the number of distinct 16-bit integers in 2's complement representation is equal to the number of distinct -bit integers in sign magnitude representation.
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
Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Ybe the number of distinct -bit integers in sign magnitude representation Then X Y is______.Correct answer is '1'. Can you explain this answer?
Question Description
Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Ybe the number of distinct -bit integers in sign magnitude representation Then X Y is______.Correct answer is '1'. 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 Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Ybe the number of distinct -bit integers in sign magnitude representation Then X Y is______.Correct answer is '1'. 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 Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Ybe the number of distinct -bit integers in sign magnitude representation Then X Y is______.Correct answer is '1'. Can you explain this answer?.
Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Ybe the number of distinct -bit integers in sign magnitude representation Then X Y is______.Correct answer is '1'. 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 Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Ybe the number of distinct -bit integers in sign magnitude representation Then X Y is______.Correct answer is '1'. 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 Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Ybe the number of distinct -bit integers in sign magnitude representation Then X Y is______.Correct answer is '1'. Can you explain this answer?.
Solutions for Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Ybe the number of distinct -bit integers in sign magnitude representation Then X Y is______.Correct answer is '1'. 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 Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Ybe the number of distinct -bit integers in sign magnitude representation Then X Y is______.Correct answer is '1'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Ybe the number of distinct -bit integers in sign magnitude representation Then X Y is______.Correct answer is '1'. Can you explain this answer?, a detailed solution for Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Ybe the number of distinct -bit integers in sign magnitude representation Then X Y is______.Correct answer is '1'. Can you explain this answer? has been provided alongside types of Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Ybe the number of distinct -bit integers in sign magnitude representation Then X Y is______.Correct answer is '1'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let X be the number of distinct 16-bit integers in 2`s complement representation. Let Ybe the number of distinct -bit integers in sign magnitude representation Then X Y is______.Correct answer is '1'. 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
|
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