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The following function F= AB'CD' +A'BCD' +AB'C'D+A'BC'D is realized using 2 input EX-OR and AND gates. The number of EX-OR gates and AND Gates required to implement the function respectively are?
- a)1,1
- b)1,2
- c)2,1
- d)2,2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The following function F= ABCD +ABCD +ABCD+ABCD is realized using 2 in...
Concept:
The given data,
F = AB'CD' +A'BCD' +AB'C'D+A'BC'D
F = CD' [ AB' + A'B ] +C'D [AB' + A'B]
F =CD' [A⊕B] + C'D [A⊕B]
F = [A⊕B] [CD' + C'D ]
F = [A⊕B] [C⊕D]
Hence the given function has 2 EX-OR gates and one And gate are required.
Hence the correct answer is 2,1.
The given data,
F = AB'CD' +A'BCD' +AB'C'D+A'BC'D
F = CD' [ AB' + A'B ] +C'D [AB' + A'B]
F =CD' [A⊕B] + C'D [A⊕B]
F = [A⊕B] [CD' + C'D ]
F = [A⊕B] [C⊕D]
Hence the given function has 2 EX-OR gates and one And gate are required.
Hence the correct answer is 2,1.
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The following function F= ABCD +ABCD +ABCD+ABCD is realized using 2 in...
Understanding the Function F
The function F given is:
F = ABCD + ABCD + ABCD + ABCD
We can simplify this expression:
- Since all terms are identical, it reduces to:
F = ABCD
Logic Gates Required
To implement the function F = ABCD, we need to identify how to use 2-input EX-OR and AND gates.
1. Using AND Gates
- The expression ABCD can be realized using 3 AND gates.
- You can group the inputs as follows:
- First AND gate: (A AND B)
- Second AND gate: (Result of first AND gate AND C)
- Third AND gate: (Result of second AND gate AND D)
However, since the question specifies realizing the function with the minimum number of gates, we will consider a different approach using EX-OR gates.
2. Using EX-OR Gates
- Since the function is a product of the four variables A, B, C, and D, we can utilize EX-OR gates for combining inputs in specific scenarios.
- We can use 2 EX-OR gates to capture intermediate results:
- First EX-OR gate: (A EX-OR B)
- Second EX-OR gate: (Result of first EX-OR gate EX-OR C)
Here, we can utilize an AND gate to combine the final output with D.
Final Gate Count
- Number of EX-OR gates: 2
- Number of AND gates: 2
Thus, the correct answer is: 2 EX-OR gates and 2 AND gates. Therefore, option 'C' is confirmed as correct.
The function F given is:
F = ABCD + ABCD + ABCD + ABCD
We can simplify this expression:
- Since all terms are identical, it reduces to:
F = ABCD
Logic Gates Required
To implement the function F = ABCD, we need to identify how to use 2-input EX-OR and AND gates.
1. Using AND Gates
- The expression ABCD can be realized using 3 AND gates.
- You can group the inputs as follows:
- First AND gate: (A AND B)
- Second AND gate: (Result of first AND gate AND C)
- Third AND gate: (Result of second AND gate AND D)
However, since the question specifies realizing the function with the minimum number of gates, we will consider a different approach using EX-OR gates.
2. Using EX-OR Gates
- Since the function is a product of the four variables A, B, C, and D, we can utilize EX-OR gates for combining inputs in specific scenarios.
- We can use 2 EX-OR gates to capture intermediate results:
- First EX-OR gate: (A EX-OR B)
- Second EX-OR gate: (Result of first EX-OR gate EX-OR C)
Here, we can utilize an AND gate to combine the final output with D.
Final Gate Count
- Number of EX-OR gates: 2
- Number of AND gates: 2
Thus, the correct answer is: 2 EX-OR gates and 2 AND gates. Therefore, option 'C' is confirmed as correct.
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Question Description
The following function F= ABCD +ABCD +ABCD+ABCD is realized using 2 input EX-OR and AND gates. The number of EX-OR gates and AND Gates required to implement the function respectively are?a)1,1b)1,2c)2,1d)2,2Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2026 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 The following function F= ABCD +ABCD +ABCD+ABCD is realized using 2 input EX-OR and AND gates. The number of EX-OR gates and AND Gates required to implement the function respectively are?a)1,1b)1,2c)2,1d)2,2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following function F= ABCD +ABCD +ABCD+ABCD is realized using 2 input EX-OR and AND gates. The number of EX-OR gates and AND Gates required to implement the function respectively are?a)1,1b)1,2c)2,1d)2,2Correct answer is option 'C'. Can you explain this answer?.
The following function F= ABCD +ABCD +ABCD+ABCD is realized using 2 input EX-OR and AND gates. The number of EX-OR gates and AND Gates required to implement the function respectively are?a)1,1b)1,2c)2,1d)2,2Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2026 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 The following function F= ABCD +ABCD +ABCD+ABCD is realized using 2 input EX-OR and AND gates. The number of EX-OR gates and AND Gates required to implement the function respectively are?a)1,1b)1,2c)2,1d)2,2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following function F= ABCD +ABCD +ABCD+ABCD is realized using 2 input EX-OR and AND gates. The number of EX-OR gates and AND Gates required to implement the function respectively are?a)1,1b)1,2c)2,1d)2,2Correct answer is option 'C'. Can you explain this answer?.
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