Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Find values of Boolean variables A,B,C which ...
Start Learning for Free
Find values of Boolean variables A,B,C which satisfy the following equations:
- A+ B = 1
- AC = BC
- A + C = 1
- AB = 0
- a)1,0,0
- b)0,1,0
- c)0,0,1
- d)0,1,1
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Find values of Boolean variables A,B,C which satisfy the following equ...
from A+B=1 and AB=0
we get either of A,b is 1 and another is 0
now AC=BC ,here C has to be 0 (because A,b has different values)
C=0
now A+c=1
so A=1 and Ab=0 so B=0
so we get
A=1 B=0 C=0
these are the values
we get either of A,b is 1 and another is 0
now AC=BC ,here C has to be 0 (because A,b has different values)
C=0
now A+c=1
so A=1 and Ab=0 so B=0
so we get
A=1 B=0 C=0
these are the values
Most Upvoted Answer
Find values of Boolean variables A,B,C which satisfy the following equ...
Solution:
Given Equations:
- A + B = 1
- AC = BC
- A + C = 1
- AB = 0
Analysis:
- From the equation A + B = 1, we can say that if A = 1, then B = 0 and vice versa.
- From the equation AB = 0, we can conclude that either A or B must be 0 for the product to be 0.
- Using the above information, we can deduce that A = 1 and B = 0.
Substitute values:
- A = 1, B = 0 in the equations:
1. C = 1 (from A + C = 1)
2. 1C = 0 (from AC = BC, substituting A = 1)
3. C = 0
Final values:
- A = 1, B = 0, C = 0
Therefore, the values of Boolean variables A, B, and C that satisfy the given equations are 1, 0, and 0 respectively, which corresponds to option 'A'.
Given Equations:
- A + B = 1
- AC = BC
- A + C = 1
- AB = 0
Analysis:
- From the equation A + B = 1, we can say that if A = 1, then B = 0 and vice versa.
- From the equation AB = 0, we can conclude that either A or B must be 0 for the product to be 0.
- Using the above information, we can deduce that A = 1 and B = 0.
Substitute values:
- A = 1, B = 0 in the equations:
1. C = 1 (from A + C = 1)
2. 1C = 0 (from AC = BC, substituting A = 1)
3. C = 0
Final values:
- A = 1, B = 0, C = 0
Therefore, the values of Boolean variables A, B, and C that satisfy the given equations are 1, 0, and 0 respectively, which corresponds to option 'A'.
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
|
|
Top Courses for Computer Science Engineering (CSE)View all
Find values of Boolean variables A,B,C which satisfy the following equations: A+ B = 1 AC = BC A + C = 1 AB = 0a)1,0,0b)0,1,0c)0,0,1d)0,1,1Correct answer is option 'A'. Can you explain this answer?
Question Description
Find values of Boolean variables A,B,C which satisfy the following equations: A+ B = 1 AC = BC A + C = 1 AB = 0a)1,0,0b)0,1,0c)0,0,1d)0,1,1Correct answer is option 'A'. 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 Find values of Boolean variables A,B,C which satisfy the following equations: A+ B = 1 AC = BC A + C = 1 AB = 0a)1,0,0b)0,1,0c)0,0,1d)0,1,1Correct answer is option 'A'. 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 Find values of Boolean variables A,B,C which satisfy the following equations: A+ B = 1 AC = BC A + C = 1 AB = 0a)1,0,0b)0,1,0c)0,0,1d)0,1,1Correct answer is option 'A'. Can you explain this answer?.
Find values of Boolean variables A,B,C which satisfy the following equations: A+ B = 1 AC = BC A + C = 1 AB = 0a)1,0,0b)0,1,0c)0,0,1d)0,1,1Correct answer is option 'A'. 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 Find values of Boolean variables A,B,C which satisfy the following equations: A+ B = 1 AC = BC A + C = 1 AB = 0a)1,0,0b)0,1,0c)0,0,1d)0,1,1Correct answer is option 'A'. 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 Find values of Boolean variables A,B,C which satisfy the following equations: A+ B = 1 AC = BC A + C = 1 AB = 0a)1,0,0b)0,1,0c)0,0,1d)0,1,1Correct answer is option 'A'. Can you explain this answer?.
Solutions for Find values of Boolean variables A,B,C which satisfy the following equations: A+ B = 1 AC = BC A + C = 1 AB = 0a)1,0,0b)0,1,0c)0,0,1d)0,1,1Correct answer is option 'A'. 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 Find values of Boolean variables A,B,C which satisfy the following equations: A+ B = 1 AC = BC A + C = 1 AB = 0a)1,0,0b)0,1,0c)0,0,1d)0,1,1Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Find values of Boolean variables A,B,C which satisfy the following equations: A+ B = 1 AC = BC A + C = 1 AB = 0a)1,0,0b)0,1,0c)0,0,1d)0,1,1Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Find values of Boolean variables A,B,C which satisfy the following equations: A+ B = 1 AC = BC A + C = 1 AB = 0a)1,0,0b)0,1,0c)0,0,1d)0,1,1Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Find values of Boolean variables A,B,C which satisfy the following equations: A+ B = 1 AC = BC A + C = 1 AB = 0a)1,0,0b)0,1,0c)0,0,1d)0,1,1Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Find values of Boolean variables A,B,C which satisfy the following equations: A+ B = 1 AC = BC A + C = 1 AB = 0a)1,0,0b)0,1,0c)0,0,1d)0,1,1Correct answer is option 'A'. 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
|
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