UPSC Exam > UPSC Questions > A three input majority gate is Defined by the...
Start Learning for Free
A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB?
Most Upvoted Answer
A three input majority gate is Defined by the logic function among ABC...
Understanding the Three Input Majority Gate
The three input majority gate is a digital logic gate that outputs true (1) if the majority of its inputs are true. The function defined by A, B, and C can be expressed as:
- F(A, B, C) = AB + BC + CA
This means the output is true when at least two of the inputs are true.
Majority Function Explained
The majority function M(A, B) represents the logical operation of two inputs A and B. When we consider the majority function with two inputs, we are essentially looking at the conditions under which the output will be true.
Relation to Majority Gate
For M(A, B), the output will be determined by the values of A and B alone, without considering a third variable C. Therefore, it can be expressed as:
- M(A, B) = A AND B
This means that the output of M(A, B) will only be true when both A and B are true.
Implications of M(A, B)
- If A = 0 and B = 0, then M(A, B) = 0
- If A = 0 and B = 1, then M(A, B) = 0
- If A = 1 and B = 0, then M(A, B) = 0
- If A = 1 and B = 1, then M(A, B) = 1
Conclusion
In conclusion, while the three input majority gate considers three inputs to determine its output, M(A, B) simplifies the logic to just the relationship between A and B, resulting in an 'AND' relationship for two inputs. This highlights the foundational role that basic logical operations play in constructing more complex logic functions.
The three input majority gate is a digital logic gate that outputs true (1) if the majority of its inputs are true. The function defined by A, B, and C can be expressed as:
- F(A, B, C) = AB + BC + CA
This means the output is true when at least two of the inputs are true.
Majority Function Explained
The majority function M(A, B) represents the logical operation of two inputs A and B. When we consider the majority function with two inputs, we are essentially looking at the conditions under which the output will be true.
Relation to Majority Gate
For M(A, B), the output will be determined by the values of A and B alone, without considering a third variable C. Therefore, it can be expressed as:
- M(A, B) = A AND B
This means that the output of M(A, B) will only be true when both A and B are true.
Implications of M(A, B)
- If A = 0 and B = 0, then M(A, B) = 0
- If A = 0 and B = 1, then M(A, B) = 0
- If A = 1 and B = 0, then M(A, B) = 0
- If A = 1 and B = 1, then M(A, B) = 1
Conclusion
In conclusion, while the three input majority gate considers three inputs to determine its output, M(A, B) simplifies the logic to just the relationship between A and B, resulting in an 'AND' relationship for two inputs. This highlights the foundational role that basic logical operations play in constructing more complex logic functions.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB?
Question Description
A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB?.
A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB?.
Solutions for A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB? defined & explained in the simplest way possible. Besides giving the explanation of
A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB?, a detailed solution for A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB? has been provided alongside types of A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB? theory, EduRev gives you an
ample number of questions to practice A three input majority gate is Defined by the logic function among ABC is equal to a b + BC + CA which one of the following is represented by the function of ABC M of AB? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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