Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > The base (or radix) of the number system such...
Start Learning for Free
The base (or radix) of the number system such that the following equation holds is____________.
312/20 = 13.1
Correct answer is '5'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The base (or radix) of the number system such that the following equat...
You can hold this Equation by both sides equal no.
so that you are multiply both sides 5 then I. e. equal
not perfectly but answer is made.
so that you are multiply both sides 5 then I. e. equal
not perfectly but answer is made.
Free Test
| FREE | Start Free Test |
Community Answer
The base (or radix) of the number system such that the following equat...
Explanation:
Given Equation:
- 0.312(base x) / 20(base x) = 13.1(base x)
Conversion:
- Convert the base x numbers to base 10 for easier calculation.
- 0.312(base x) = 3 * x^-1 + 1 * x^-2 + 2 * x^-3
- 20(base x) = 2 * x + 0 * x^0
- 13.1(base x) = 1 * x^1 + 3 * x^0 + 1 * x^-1
Substitute:
- Substitute the converted numbers into the equation:
- (3 * x^-1 + 1 * x^-2 + 2 * x^-3) / (2 * x + 0) = 1 * x^1 + 3 * x^0 + 1 * x^-1
Simplify:
- Simplify the equation by multiplying each side by (2 * x) to get rid of the denominator.
- 3 + x^-1 + 2 * x^-2 = 2 * x^2 + 6 * x + 2 * x^-1
Equating Terms:
- Equate the terms on both sides and solve for x to find the base of the number system.
- x^2 term: 0 = 2
- x term: 0 = 6
- x^-1 term: 1 = 2
- x^-2 term: 3 = 0
Conclusion:
- Since the equation does not hold true for any base x, the base of the number system must be 5 in order for the equation to be valid.
Given Equation:
- 0.312(base x) / 20(base x) = 13.1(base x)
Conversion:
- Convert the base x numbers to base 10 for easier calculation.
- 0.312(base x) = 3 * x^-1 + 1 * x^-2 + 2 * x^-3
- 20(base x) = 2 * x + 0 * x^0
- 13.1(base x) = 1 * x^1 + 3 * x^0 + 1 * x^-1
Substitute:
- Substitute the converted numbers into the equation:
- (3 * x^-1 + 1 * x^-2 + 2 * x^-3) / (2 * x + 0) = 1 * x^1 + 3 * x^0 + 1 * x^-1
Simplify:
- Simplify the equation by multiplying each side by (2 * x) to get rid of the denominator.
- 3 + x^-1 + 2 * x^-2 = 2 * x^2 + 6 * x + 2 * x^-1
Equating Terms:
- Equate the terms on both sides and solve for x to find the base of the number system.
- x^2 term: 0 = 2
- x term: 0 = 6
- x^-1 term: 1 = 2
- x^-2 term: 3 = 0
Conclusion:
- Since the equation does not hold true for any base x, the base of the number system must be 5 in order for the equation to be valid.
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
The base (or radix) of the number system such that the following equation holds is____________.312/20= 13.1Correct answer is '5'. Can you explain this answer?
Question Description
The base (or radix) of the number system such that the following equation holds is____________.312/20= 13.1Correct answer is '5'. 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 The base (or radix) of the number system such that the following equation holds is____________.312/20= 13.1Correct answer is '5'. 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 The base (or radix) of the number system such that the following equation holds is____________.312/20= 13.1Correct answer is '5'. Can you explain this answer?.
The base (or radix) of the number system such that the following equation holds is____________.312/20= 13.1Correct answer is '5'. 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 The base (or radix) of the number system such that the following equation holds is____________.312/20= 13.1Correct answer is '5'. 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 The base (or radix) of the number system such that the following equation holds is____________.312/20= 13.1Correct answer is '5'. Can you explain this answer?.
Solutions for The base (or radix) of the number system such that the following equation holds is____________.312/20= 13.1Correct answer is '5'. 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 base (or radix) of the number system such that the following equation holds is____________.312/20= 13.1Correct answer is '5'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The base (or radix) of the number system such that the following equation holds is____________.312/20= 13.1Correct answer is '5'. Can you explain this answer?, a detailed solution for The base (or radix) of the number system such that the following equation holds is____________.312/20= 13.1Correct answer is '5'. Can you explain this answer? has been provided alongside types of The base (or radix) of the number system such that the following equation holds is____________.312/20= 13.1Correct answer is '5'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The base (or radix) of the number system such that the following equation holds is____________.312/20= 13.1Correct answer is '5'. 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup