GATE Exam > GATE Questions > Identify the number of prime implicants and e...
Start Learning for Free
Identify the number of prime implicants and essential prime implicants for the function
f(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)
(where m represents min terms)
f(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)
(where m represents min terms)
- a)7, 2
- b)6, 2
- c)7, 1
- d)6, 1
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Identify the number of prime implicants and essential prime implicants...
Concept:
Prime implicant: Each square (or) rectangle made up of the group of adjacent min terms is called a sub cube. Each of these sub cubes is called a prime implicant.
Essential prime implicant: The prime implicant which contains at least one ‘1’ which can not be covered by any other prime implicant is called essential prime implicant.
Redundant prime implicant: The prime implicant whose each ‘1’ is covered least by one essential prime implicant is called a redundant prime implicant.
Prime implicant: Each square (or) rectangle made up of the group of adjacent min terms is called a sub cube. Each of these sub cubes is called a prime implicant.
Essential prime implicant: The prime implicant which contains at least one ‘1’ which can not be covered by any other prime implicant is called essential prime implicant.
Redundant prime implicant: The prime implicant whose each ‘1’ is covered least by one essential prime implicant is called a redundant prime implicant.
Application:
Given Boolean function is: f(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)
The K-map is as shown below
From the above K-map,
The prime implicants: BC, A̅ B̅ C̅, ACD̅, AB̅ D̅, B̅ C̅ D̅, A̅ BD̅, A̅ C̅ D̅
The essential prime implicants: BC, A̅ B̅ C̅
Given Boolean function is: f(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)
The K-map is as shown below
From the above K-map,
The prime implicants: BC, A̅ B̅ C̅, ACD̅, AB̅ D̅, B̅ C̅ D̅, A̅ BD̅, A̅ C̅ D̅
The essential prime implicants: BC, A̅ B̅ C̅
Free Test
FREE
| Start Free Test |
Community Answer
Identify the number of prime implicants and essential prime implicants...
This function is missing, could you please provide the function?
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
Identify the number of prime implicants and essential prime implicants for the functionf(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)(where m represents min terms)a)7, 2b)6, 2c)7, 1d)6, 1Correct answer is option 'A'. Can you explain this answer?
Question Description
Identify the number of prime implicants and essential prime implicants for the functionf(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)(where m represents min terms)a)7, 2b)6, 2c)7, 1d)6, 1Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Identify the number of prime implicants and essential prime implicants for the functionf(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)(where m represents min terms)a)7, 2b)6, 2c)7, 1d)6, 1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Identify the number of prime implicants and essential prime implicants for the functionf(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)(where m represents min terms)a)7, 2b)6, 2c)7, 1d)6, 1Correct answer is option 'A'. Can you explain this answer?.
Identify the number of prime implicants and essential prime implicants for the functionf(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)(where m represents min terms)a)7, 2b)6, 2c)7, 1d)6, 1Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Identify the number of prime implicants and essential prime implicants for the functionf(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)(where m represents min terms)a)7, 2b)6, 2c)7, 1d)6, 1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Identify the number of prime implicants and essential prime implicants for the functionf(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)(where m represents min terms)a)7, 2b)6, 2c)7, 1d)6, 1Correct answer is option 'A'. Can you explain this answer?.
Solutions for Identify the number of prime implicants and essential prime implicants for the functionf(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)(where m represents min terms)a)7, 2b)6, 2c)7, 1d)6, 1Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Identify the number of prime implicants and essential prime implicants for the functionf(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)(where m represents min terms)a)7, 2b)6, 2c)7, 1d)6, 1Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Identify the number of prime implicants and essential prime implicants for the functionf(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)(where m represents min terms)a)7, 2b)6, 2c)7, 1d)6, 1Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Identify the number of prime implicants and essential prime implicants for the functionf(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)(where m represents min terms)a)7, 2b)6, 2c)7, 1d)6, 1Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Identify the number of prime implicants and essential prime implicants for the functionf(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)(where m represents min terms)a)7, 2b)6, 2c)7, 1d)6, 1Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Identify the number of prime implicants and essential prime implicants for the functionf(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)(where m represents min terms)a)7, 2b)6, 2c)7, 1d)6, 1Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
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