Reason (R) : Noise Margin (NM), It may be defined as for high level :
$NM_H = V_{IH, min} - V_{OH, min}$
Further for low level, it is defined as :
$NM_L = V_{IL, max} - V_{OL, max}$
Assertion (A) Analysis: Noise Margin Definition
Assertion (A) correctly defines noise margin as the allowable level of noise that can be added without causing misinterpretation of logic values (0 or 1). This margin is crucial for reliable digital circuit operation.
Reason (R) Analysis: Noise Margin Formulas
Reason (R) provides specific formulas to quantify noise margin:
- For the high level: $NM_H = V_{IH, min} - V_{OH, min}$
- For the low level: $NM_L = V_{IL, max} - V_{OL, max}$
These formulas represent the difference between the minimum input voltage recognized as high/low and the minimum output voltage guaranteed as high/low, respectively. They aim to quantify the allowable noise.
Conclusion: Evaluating Assertion and Reason
Both Assertion (A) and Reason (R) are considered true statements in the context of digital logic design. The formulas provided in Reason (R) serve as a specific method to calculate the general concept of noise margin described in Assertion (A). Therefore, Reason (R) correctly explains Assertion (A) by providing the mathematical basis for it.
The correct option is A: Both (A) and (R) are true and (R) is the correct explanation of (A).
Important Questions from Logic Families
Which of the following pair is correct?
I. RTL – Saturated bipolar logic family
II. ECL – Non-Saturated bipolar logic family
- Which of the following logic families has the maximum noise margin?
The figure of merit of digital IC is defined as:
- Which of the following logic families has the highest packing density?
The figure of merit of logic family is often measured in the unit of:
