UPSC Exam > UPSC Questions > 1.Divide (1101)by(101)base 2a) quotient 1 rem...
Start Learning for Free
1.Divide (1101)by(101)base 2
a) quotient 1 remainder 11
b) quotient 100 remainder 1
c) quotient 10 remainder 1
d) quotient 23 remainder 10
can we write option a
yes or no?
a) quotient 1 remainder 11
b) quotient 100 remainder 1
c) quotient 10 remainder 1
d) quotient 23 remainder 10
can we write option a
yes or no?
Most Upvoted Answer
1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100...
Calculating the Quotient and Remainder in Binary Division
Understanding Binary Division
Binary division is similar to long division in decimal systems, but with only 2 possible digits: 0 and 1. When dividing a binary number by another binary number, we need to find the quotient and remainder.
Steps to Divide (1101) by (101) in Base 2
1. Begin by aligning the divisor (101) with the leftmost digits of the dividend (1101).
2. Compare the dividend with the divisor. Since 1101 is greater than 101, we can subtract 101 from 1101.
3. Subtracting 101 from 1101, we get 1000. This process is repeated until we cannot subtract the divisor anymore.
4. The quotient is the number of times the divisor can be subtracted from the dividend without resulting in a negative number. The remainder is the final value left after all subtractions are complete.
Answer: Can we write option a?
- No, we cannot write option a: quotient 1 remainder 11.
- The correct answer is option b: quotient 100 remainder 1.
- The binary division of (1101) by (101) results in a quotient of 100 and a remainder of 1.
Explanation
- When dividing 1101 by 101, the quotient is 100 and the remainder is 1.
- The remainder 11 in option a is incorrect as it does not align with the result of the division.
- Therefore, the correct answer is option b, as it accurately reflects the binary division process.
Understanding Binary Division
Binary division is similar to long division in decimal systems, but with only 2 possible digits: 0 and 1. When dividing a binary number by another binary number, we need to find the quotient and remainder.
Steps to Divide (1101) by (101) in Base 2
1. Begin by aligning the divisor (101) with the leftmost digits of the dividend (1101).
2. Compare the dividend with the divisor. Since 1101 is greater than 101, we can subtract 101 from 1101.
3. Subtracting 101 from 1101, we get 1000. This process is repeated until we cannot subtract the divisor anymore.
4. The quotient is the number of times the divisor can be subtracted from the dividend without resulting in a negative number. The remainder is the final value left after all subtractions are complete.
Answer: Can we write option a?
- No, we cannot write option a: quotient 1 remainder 11.
- The correct answer is option b: quotient 100 remainder 1.
- The binary division of (1101) by (101) results in a quotient of 100 and a remainder of 1.
Explanation
- When dividing 1101 by 101, the quotient is 100 and the remainder is 1.
- The remainder 11 in option a is incorrect as it does not align with the result of the division.
- Therefore, the correct answer is option b, as it accurately reflects the binary division process.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100 remainder 1 c) quotient 10 remainder 1 d) quotient 23 remainder 10 can we write option ayes or no?
Question Description
1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100 remainder 1 c) quotient 10 remainder 1 d) quotient 23 remainder 10 can we write option ayes or no? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100 remainder 1 c) quotient 10 remainder 1 d) quotient 23 remainder 10 can we write option ayes or no? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100 remainder 1 c) quotient 10 remainder 1 d) quotient 23 remainder 10 can we write option ayes or no?.
1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100 remainder 1 c) quotient 10 remainder 1 d) quotient 23 remainder 10 can we write option ayes or no? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100 remainder 1 c) quotient 10 remainder 1 d) quotient 23 remainder 10 can we write option ayes or no? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100 remainder 1 c) quotient 10 remainder 1 d) quotient 23 remainder 10 can we write option ayes or no?.
Solutions for 1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100 remainder 1 c) quotient 10 remainder 1 d) quotient 23 remainder 10 can we write option ayes or no? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of 1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100 remainder 1 c) quotient 10 remainder 1 d) quotient 23 remainder 10 can we write option ayes or no? defined & explained in the simplest way possible. Besides giving the explanation of
1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100 remainder 1 c) quotient 10 remainder 1 d) quotient 23 remainder 10 can we write option ayes or no?, a detailed solution for 1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100 remainder 1 c) quotient 10 remainder 1 d) quotient 23 remainder 10 can we write option ayes or no? has been provided alongside types of 1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100 remainder 1 c) quotient 10 remainder 1 d) quotient 23 remainder 10 can we write option ayes or no? theory, EduRev gives you an
ample number of questions to practice 1.Divide (1101)by(101)base 2a) quotient 1 remainder 11 b) quotient 100 remainder 1 c) quotient 10 remainder 1 d) quotient 23 remainder 10 can we write option ayes or no? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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