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Given below are two statements:
Statement I:
A two-input OR gate and a two-input AND gate have similar inputs. but outputs may be the same or different.
Statement II: An AND gate has inputs A and B. The input B is always low, the state of input A can affect the output.
In the light of the above statements, choose the correct answer from the options given below:
  • a)
    Both Statement I and Statement II are true.
  • b)
    Both Statement I and Statement II are false.
  • c)
    Statement I is true but Statement II is false.
  • d)
    Statement I is false but Statement II is true.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Given below are two statements:Statement I: A two-input OR gate and a ...
Statement I: A two-input OR gate and a two-input AND gate have similar inputs, but outputs may be the same or different.

Explanation:
An OR gate is a logic gate that produces an output of 1 if any of its inputs are 1. On the other hand, an AND gate is a logic gate that produces an output of 1 only if all of its inputs are 1.

Let's consider the inputs and outputs of a two-input OR gate and a two-input AND gate:

- Two-input OR gate:
- Inputs: A, B
- Output: A OR B

- Two-input AND gate:
- Inputs: A, B
- Output: A AND B

Case 1: Similar inputs
When the inputs of both gates are the same (i.e., A = B), the outputs of the gates will be different.

For example:
- Two-input OR gate:
- Inputs: A = 1, B = 1
- Output: 1 OR 1 = 1

- Two-input AND gate:
- Inputs: A = 1, B = 1
- Output: 1 AND 1 = 1

Case 2: Different inputs
When the inputs of both gates are different (i.e., A ≠ B), the outputs of the gates can be the same or different.

For example:
- Two-input OR gate:
- Inputs: A = 1, B = 0
- Output: 1 OR 0 = 1

- Two-input AND gate:
- Inputs: A = 1, B = 0
- Output: 1 AND 0 = 0

From the above analysis, we can conclude that the outputs of a two-input OR gate and a two-input AND gate can be the same or different, depending on the inputs.

Statement II: An AND gate has inputs A and B. The input B is always low, the state of input A can affect the output.

Explanation:
An AND gate requires all of its inputs to be high (1) in order to produce a high output (1). If any of its inputs are low (0), the output will be low (0).

In the given statement, it is mentioned that input B is always low. Therefore, the state of input A becomes the only determining factor for the output of the AND gate.

If input A is high (1), the output will be low (0) because one of the inputs (input B) is low (0). On the other hand, if input A is low (0), the output will also be low (0) because one of the inputs (input B) is still low (0).

Hence, the state of input A can affect the output of the AND gate when input B is always low.

Conclusion:
Based on the explanations provided above, it can be concluded that both Statement I and Statement II are false.
Free Test
Community Answer
Given below are two statements:Statement I: A two-input OR gate and a ...
Concept:
A two-input OR gate shows the output as:

A two-input AND gate shows the output as:

Circuit symbol of AND gate
Calculations:
Given: 
Statement I:
A two-input OR gate and a two-input AND gate have similar inputs. 
For OR gate output = A + B, AND gate output is = A.B
So, statement 1 is incorrect.
The output of AND gate is shown by its truth table:

According to Statement II: An AND gate has inputs A and B. The input B is always low,
Then, B shows 0 as input then any Value of A can not change the output. So, this statement is incorrect.
Hence, Option (2) is correct that both statements are incorrect.
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Given below are two statements:Statement I: A two-input OR gate and a two-input AND gate have similar inputs. but outputs may be the same or different.Statement II: An AND gate has inputs A and B. The input B is always low, the state of input A can affect the output.In the light of the above statements, choose the correct answer from the options given below:a)Both Statement I and Statement II are true.b)Both Statement I and Statement II are false.c)Statement I is true but Statement II is false.d)Statement I is false but Statement II is true.Correct answer is option 'B'. Can you explain this answer?
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Given below are two statements:Statement I: A two-input OR gate and a two-input AND gate have similar inputs. but outputs may be the same or different.Statement II: An AND gate has inputs A and B. The input B is always low, the state of input A can affect the output.In the light of the above statements, choose the correct answer from the options given below:a)Both Statement I and Statement II are true.b)Both Statement I and Statement II are false.c)Statement I is true but Statement II is false.d)Statement I is false but Statement II is true.Correct answer is option 'B'. 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 Given below are two statements:Statement I: A two-input OR gate and a two-input AND gate have similar inputs. but outputs may be the same or different.Statement II: An AND gate has inputs A and B. The input B is always low, the state of input A can affect the output.In the light of the above statements, choose the correct answer from the options given below:a)Both Statement I and Statement II are true.b)Both Statement I and Statement II are false.c)Statement I is true but Statement II is false.d)Statement I is false but Statement II is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given below are two statements:Statement I: A two-input OR gate and a two-input AND gate have similar inputs. but outputs may be the same or different.Statement II: An AND gate has inputs A and B. The input B is always low, the state of input A can affect the output.In the light of the above statements, choose the correct answer from the options given below:a)Both Statement I and Statement II are true.b)Both Statement I and Statement II are false.c)Statement I is true but Statement II is false.d)Statement I is false but Statement II is true.Correct answer is option 'B'. Can you explain this answer?.
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