Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Determine the minimised expression of Boolean...
Start Learning for Free
Determine the minimised expression of Boolean function
F = X̅ Z̅ + Y̅ Z̅ + Y Z̅ + XYZ
F = X̅ Z̅ + Y̅ Z̅ + Y Z̅ + XYZ
- a)X̅ Y̅ + Z
- b)Z̅ + XY
- c)X̅ Y + Z
- d)XYZ
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Determine the minimised expression of Boolean functionF = X Z + Y Z + ...
Concept:
All Boolean algebra laws are shown below
Calculation:
F = X̅ Z̅ + Y̅ Z̅ + Y Z̅ + XYZ
= X̅ Z̅ + Z̅ (Y̅ + Y) + XYZ
= X̅ Z̅ + Z̅ + XYZ
= Z̅ (1 + X̅) + XYZ
= Z̅ + XYZ
Now using Distributive Law
= (Z̅ + Z)(Z̅ + XY)
= Z̅ + XY
Calculation:
F = X̅ Z̅ + Y̅ Z̅ + Y Z̅ + XYZ
= X̅ Z̅ + Z̅ (Y̅ + Y) + XYZ
= X̅ Z̅ + Z̅ + XYZ
= Z̅ (1 + X̅) + XYZ
= Z̅ + XYZ
Now using Distributive Law
= (Z̅ + Z)(Z̅ + XY)
= Z̅ + XY
Free Test
FREE
| Start Free Test |
Community Answer
Determine the minimised expression of Boolean functionF = X Z + Y Z + ...
To minimize the Boolean function F = X Z Y Z Y Z XYZ, we can use the laws of Boolean algebra to simplify the expression.
Starting with the given expression:
F = X Z Y Z Y Z XYZ
First, we can simplify the repeated terms Y Z Y Z to just Y Z:
F = X Z Y Z XYZ
Next, we can factor out Z from the first two terms:
F = Z(X + Y) XYZ
Now, we can distribute Z to both terms in the expression:
F = XZ + YZ XYZ
Finally, we can factor out XY from the last two terms:
F = XZ + YZ XY(Z + 1)
Since Z + 1 is always equal to 1, we can simplify the expression further:
F = XZ + YZ XY
Now, let's compare this simplified expression with the given options:
a) X Y Z: This option does not match the simplified expression.
b) Z XY: This option matches the simplified expression.
c) X Y Z: This option does not match the simplified expression.
d) XYZ: This option does not match the simplified expression.
Therefore, the correct answer is option 'B': Z XY.
Starting with the given expression:
F = X Z Y Z Y Z XYZ
First, we can simplify the repeated terms Y Z Y Z to just Y Z:
F = X Z Y Z XYZ
Next, we can factor out Z from the first two terms:
F = Z(X + Y) XYZ
Now, we can distribute Z to both terms in the expression:
F = XZ + YZ XYZ
Finally, we can factor out XY from the last two terms:
F = XZ + YZ XY(Z + 1)
Since Z + 1 is always equal to 1, we can simplify the expression further:
F = XZ + YZ XY
Now, let's compare this simplified expression with the given options:
a) X Y Z: This option does not match the simplified expression.
b) Z XY: This option matches the simplified expression.
c) X Y Z: This option does not match the simplified expression.
d) XYZ: This option does not match the simplified expression.
Therefore, the correct answer is option 'B': Z XY.
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
Determine the minimised expression of Boolean functionF = X Z + Y Z + Y Z + XYZa)X Y + Zb)Z + XYc)X Y + Zd)XYZCorrect answer is option 'B'. Can you explain this answer?
Question Description
Determine the minimised expression of Boolean functionF = X Z + Y Z + Y Z + XYZa)X Y + Zb)Z + XYc)X Y + Zd)XYZCorrect answer is option 'B'. 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 Determine the minimised expression of Boolean functionF = X Z + Y Z + Y Z + XYZa)X Y + Zb)Z + XYc)X Y + Zd)XYZCorrect answer is option 'B'. 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 Determine the minimised expression of Boolean functionF = X Z + Y Z + Y Z + XYZa)X Y + Zb)Z + XYc)X Y + Zd)XYZCorrect answer is option 'B'. Can you explain this answer?.
Determine the minimised expression of Boolean functionF = X Z + Y Z + Y Z + XYZa)X Y + Zb)Z + XYc)X Y + Zd)XYZCorrect answer is option 'B'. 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 Determine the minimised expression of Boolean functionF = X Z + Y Z + Y Z + XYZa)X Y + Zb)Z + XYc)X Y + Zd)XYZCorrect answer is option 'B'. 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 Determine the minimised expression of Boolean functionF = X Z + Y Z + Y Z + XYZa)X Y + Zb)Z + XYc)X Y + Zd)XYZCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Determine the minimised expression of Boolean functionF = X Z + Y Z + Y Z + XYZa)X Y + Zb)Z + XYc)X Y + Zd)XYZCorrect answer is option 'B'. 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 Determine the minimised expression of Boolean functionF = X Z + Y Z + Y Z + XYZa)X Y + Zb)Z + XYc)X Y + Zd)XYZCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Determine the minimised expression of Boolean functionF = X Z + Y Z + Y Z + XYZa)X Y + Zb)Z + XYc)X Y + Zd)XYZCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Determine the minimised expression of Boolean functionF = X Z + Y Z + Y Z + XYZa)X Y + Zb)Z + XYc)X Y + Zd)XYZCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Determine the minimised expression of Boolean functionF = X Z + Y Z + Y Z + XYZa)X Y + Zb)Z + XYc)X Y + Zd)XYZCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Determine the minimised expression of Boolean functionF = X Z + Y Z + Y Z + XYZa)X Y + Zb)Z + XYc)X Y + Zd)XYZCorrect answer is option 'B'. 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