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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?
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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.
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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?
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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?.
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