Basic logic operation: An inverter (NOT gate) outputs the logical complement of its input. Evaluate the statement “An inverter performs a NOT operation.”

Difficulty: Easy

Correct Answer: Correct

Explanation:


Introduction / Context:
The inverter, symbolized as a triangle with a small circle on its output, is the most fundamental logic gate. It produces the logical complement, forming the basis for De Morgan transformations and for restoring logic levels in digital chains.


Given Data / Assumptions:

  • Binary logic with defined LOW and HIGH thresholds.
  • Ideal inverter truth table: Y = NOT(X).
  • Technology may be CMOS, TTL, ECL, etc., but functionality is invariant.


Concept / Approach:
The inverter implements the Boolean operation Y = ¬X. In CMOS, a complementary PMOS/NMOS pair pulls the node to VDD when input is LOW and to GND when input is HIGH. The NOT function is used extensively to create active-low signals and to derive NAND/NOR universality.


Step-by-Step Solution:

Define input X ∈ {0, 1}.Output Y is 1 when X = 0; Y is 0 when X = 1.Verify propagation with actual thresholds (VIL/VIH) for the logic family.


Verification / Alternative check:
Truth table check or transmission gate equivalent confirms complementation behavior across all input states.


Why Other Options Are Wrong:
“Incorrect” contradicts the gate’s definition. Technology or supply variations affect speed and noise margins, not the Boolean function.


Common Pitfalls:
Confusing analog voltage inverter (op-amp inverters) with digital logic inverters; both invert, but their operating principles and transfer characteristics differ.


Final Answer:
Correct

More Questions from Digital Concepts

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion