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Chapter 19: Problem 2663

Direction for Assertion-Reason type questions (A) If both Assertion and Reason are true and reason is the correct explanation of assertion. (B) If both Assertion and Reason are true but Reason is not the correct explanation of assertion. (C) If Assertion is true but Reason is false (D) If both assertion and reason are false A : NAND (or NOR) gates are called digital building blocks \(\mathrm{R}\) : The different combination of NAND (or NOR) gates can produce all the basic or complicated gates. (A) a (B) \(b\) (C) \(\mathrm{c}\) (D) d

Short Answer

Expert verified
The answer is (A) a, as both the Assertion and Reason are true, and the Reason is the correct explanation of the Assertion. NAND (or NOR) gates are called digital building blocks because they can be combined in different ways to produce all the basic or complicated gates in digital electronics.

Step by step solution

01

Understand Assertion

Assertation states that "NAND (or NOR) gates are called digital building blocks." Digital building blocks are simple digital circuits that can combine a few logic gates to perform a function or represent an electronic component. NAND and NOR gates are universal gates because they can be used alone to create any logic gate or electronic component, like AND, OR, NOT, XOR, etc. So, the assertion is true.
02

Understand Reason

The reason given is "The different combination of NAND (or NOR) gates can produce all the basic or complicated gates." The fact that a different combination of NAND (or NOR) gates can produce all the basic or more complex gates is indeed true. You can illustrate this by creating all the basic gates using NAND or NOR gates alone.
03

Determine the Correctness of the Explanation

Now we need to see if the reason is the correct explanation for the assertion. The fact that NAND (or NOR) gates can represent all the basic or complex gates is why they are frequently referred to as "digital building blocks". Hence, the reason provided is the correct explanation for the given assertion. Based on the steps above, we see that both Assertion and Reason are true, and the Reason is the correct explanation for Assertion. Therefore, the answer is (A) a.

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