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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.
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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?
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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?.
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