Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > The smallest integer that can be represented ...
Start Learning for Free
The smallest integer that can be represented by an 8-bit number in 2's complement form is
- a)-256
- b)-128
- c)-127
- d)0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The smallest integer that can be represented by an 8-bit number in 2&#...
Range of 2's compliment no = > (- 2n-1)to + (2n-1 - 1)
Here n = No of bits = 8.
So minimum no = -2 ^ 7 = (B) -128
Here n = No of bits = 8.
So minimum no = -2 ^ 7 = (B) -128
Most Upvoted Answer
The smallest integer that can be represented by an 8-bit number in 2&#...
Explanation:
In 2s complement form, the most significant bit (MSB) of an 8-bit number 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.
Representation of Positive Numbers:
For positive numbers, the MSB is always 0. The remaining bits represent the magnitude of the number in binary form. In an 8-bit number, the remaining 7 bits can represent values from 0 to 127 (2^7 - 1).
Representation of Negative Numbers:
For negative numbers, the MSB is always 1. To represent a negative number in 2s complement form, we take the binary representation of its positive counterpart and invert all the bits (change 0s to 1s and 1s to 0s). Then, we add 1 to the inverted result.
Calculating the Smallest Negative Number:
To find the smallest negative number that can be represented in 8-bit 2s complement form, we start with the binary representation of 0, which is 00000000.
- Inverting all the bits gives us 11111111.
- Adding 1 to the inverted result gives us 100000000. However, since we are working with 8-bit numbers, we discard the leftmost 1, leaving us with 00000000.
Therefore, the smallest negative number that can be represented in 8-bit 2s complement form is -128.
Answer:
The smallest integer that can be represented by an 8-bit number in 2s complement form is -128. Hence, option 'B' is the correct answer.
In 2s complement form, the most significant bit (MSB) of an 8-bit number 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.
Representation of Positive Numbers:
For positive numbers, the MSB is always 0. The remaining bits represent the magnitude of the number in binary form. In an 8-bit number, the remaining 7 bits can represent values from 0 to 127 (2^7 - 1).
Representation of Negative Numbers:
For negative numbers, the MSB is always 1. To represent a negative number in 2s complement form, we take the binary representation of its positive counterpart and invert all the bits (change 0s to 1s and 1s to 0s). Then, we add 1 to the inverted result.
Calculating the Smallest Negative Number:
To find the smallest negative number that can be represented in 8-bit 2s complement form, we start with the binary representation of 0, which is 00000000.
- Inverting all the bits gives us 11111111.
- Adding 1 to the inverted result gives us 100000000. However, since we are working with 8-bit numbers, we discard the leftmost 1, leaving us with 00000000.
Therefore, the smallest negative number that can be represented in 8-bit 2s complement form is -128.
Answer:
The smallest integer that can be represented by an 8-bit number in 2s complement form is -128. Hence, option 'B' is the correct answer.
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Top Courses for Computer Science Engineering (CSE)View all
Question Description
The smallest integer that can be represented by an 8-bit number in 2's complement form isa)-256b)-128c)-127d)0Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 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 smallest integer that can be represented by an 8-bit number in 2's complement form isa)-256b)-128c)-127d)0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The smallest integer that can be represented by an 8-bit number in 2's complement form isa)-256b)-128c)-127d)0Correct answer is option 'B'. Can you explain this answer?.
The smallest integer that can be represented by an 8-bit number in 2's complement form isa)-256b)-128c)-127d)0Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 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 smallest integer that can be represented by an 8-bit number in 2's complement form isa)-256b)-128c)-127d)0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The smallest integer that can be represented by an 8-bit number in 2's complement form isa)-256b)-128c)-127d)0Correct answer is option 'B'. Can you explain this answer?.
Solutions for The smallest integer that can be represented by an 8-bit number in 2's complement form isa)-256b)-128c)-127d)0Correct answer is option 'B'. 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 smallest integer that can be represented by an 8-bit number in 2's complement form isa)-256b)-128c)-127d)0Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The smallest integer that can be represented by an 8-bit number in 2's complement form isa)-256b)-128c)-127d)0Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The smallest integer that can be represented by an 8-bit number in 2's complement form isa)-256b)-128c)-127d)0Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The smallest integer that can be represented by an 8-bit number in 2's complement form isa)-256b)-128c)-127d)0Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The smallest integer that can be represented by an 8-bit number in 2's complement form isa)-256b)-128c)-127d)0Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
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 on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily