Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > If (28)xin base x number system is equal to (...
Start Learning for Free
If (28)x in base x number system is equal to (37)y in base y number system, the possible values of x and y are:
- a)5, 3
- b)8, 7
- c)3, 4
- d)13,9
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If (28)xin base x number system is equal to (37)y in base y number sys...
Most Upvoted Answer
If (28)xin base x number system is equal to (37)y in base y number sys...
Given:
- The number (28)x in base x number system is equal to (37)y in base y number system.
To find:
- The possible values of x and y.
Explanation:
To solve this problem, we need to convert the given numbers into decimal form and then equate them.
Given: (28)x in base x number system is equal to (37)y in base y number system.
Converting (28)x into decimal:
- We can write (28)x as 2x + 8 in decimal form.
- Therefore, (2x + 8) in decimal is equal to (37)y in base y number system.
Converting (37)y into decimal:
- We can write (37)y as 3y + 7 in decimal form.
Equate the expressions:
- Equating the decimal forms, we have 2x + 8 = 3y + 7.
- Simplifying the equation, we get 2x - 3y = -1.
Finding the possible values of x and y:
- We need to find the values of x and y that satisfy the equation 2x - 3y = -1.
- By trying different values, we find that x = 13 and y = 9 satisfy the equation.
- Therefore, x = 13 and y = 9 are the possible values.
Conclusion:
- The possible values of x and y are 13 and 9, respectively.
- Hence, the correct answer is option 'D' (13, 9).
- The number (28)x in base x number system is equal to (37)y in base y number system.
To find:
- The possible values of x and y.
Explanation:
To solve this problem, we need to convert the given numbers into decimal form and then equate them.
Given: (28)x in base x number system is equal to (37)y in base y number system.
Converting (28)x into decimal:
- We can write (28)x as 2x + 8 in decimal form.
- Therefore, (2x + 8) in decimal is equal to (37)y in base y number system.
Converting (37)y into decimal:
- We can write (37)y as 3y + 7 in decimal form.
Equate the expressions:
- Equating the decimal forms, we have 2x + 8 = 3y + 7.
- Simplifying the equation, we get 2x - 3y = -1.
Finding the possible values of x and y:
- We need to find the values of x and y that satisfy the equation 2x - 3y = -1.
- By trying different values, we find that x = 13 and y = 9 satisfy the equation.
- Therefore, x = 13 and y = 9 are the possible values.
Conclusion:
- The possible values of x and y are 13 and 9, respectively.
- Hence, the correct answer is option 'D' (13, 9).
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Similar Computer Science Engineering (CSE) Doubts
Top Courses for Computer Science Engineering (CSE)View all
Top Courses for Computer Science Engineering (CSE)
Question Description
If (28)xin base x number system is equal to (37)y in base y number system, the possible values of x and y are:a)5, 3b)8, 7c)3, 4d)13,9Correct answer is option 'D'. 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 If (28)xin base x number system is equal to (37)y in base y number system, the possible values of x and y are:a)5, 3b)8, 7c)3, 4d)13,9Correct answer is option 'D'. 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 If (28)xin base x number system is equal to (37)y in base y number system, the possible values of x and y are:a)5, 3b)8, 7c)3, 4d)13,9Correct answer is option 'D'. Can you explain this answer?.
If (28)xin base x number system is equal to (37)y in base y number system, the possible values of x and y are:a)5, 3b)8, 7c)3, 4d)13,9Correct answer is option 'D'. 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 If (28)xin base x number system is equal to (37)y in base y number system, the possible values of x and y are:a)5, 3b)8, 7c)3, 4d)13,9Correct answer is option 'D'. 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 If (28)xin base x number system is equal to (37)y in base y number system, the possible values of x and y are:a)5, 3b)8, 7c)3, 4d)13,9Correct answer is option 'D'. Can you explain this answer?.
Solutions for If (28)xin base x number system is equal to (37)y in base y number system, the possible values of x and y are:a)5, 3b)8, 7c)3, 4d)13,9Correct answer is option 'D'. 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 If (28)xin base x number system is equal to (37)y in base y number system, the possible values of x and y are:a)5, 3b)8, 7c)3, 4d)13,9Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If (28)xin base x number system is equal to (37)y in base y number system, the possible values of x and y are:a)5, 3b)8, 7c)3, 4d)13,9Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If (28)xin base x number system is equal to (37)y in base y number system, the possible values of x and y are:a)5, 3b)8, 7c)3, 4d)13,9Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If (28)xin base x number system is equal to (37)y in base y number system, the possible values of x and y are:a)5, 3b)8, 7c)3, 4d)13,9Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If (28)xin base x number system is equal to (37)y in base y number system, the possible values of x and y are:a)5, 3b)8, 7c)3, 4d)13,9Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Signup to solve all Doubts
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!
within 7 days!
Takes less than 10 seconds to signup