NAND Gate Logic When Inputs Tied Together
A 2-input NAND gate outputs a logic 0 only if both inputs are logic 1. Otherwise, it outputs logic 1.
When the two inputs of a 2-input NAND gate are tied together to form a single input, let's call it A, the gate effectively receives the same input signal on both its input terminals. The inputs become (A, A).
Analyzing the Resulting Logic
Let's examine the output based on the input A:
- If the single input A is 0, the NAND gate receives (0, 0). The output is NOT (0 AND 0) = NOT (0) = 1.
- If the single input A is 1, the NAND gate receives (1, 1). The output is NOT (1 AND 1) = NOT (1) = 0.
This behavior, where an input of 0 produces an output of 1, and an input of 1 produces an output of 0, is the defining characteristic of a NOT gate (also known as an Inverter).
Therefore, connecting the two inputs of a 2-input NAND gate together results in a circuit that behaves as a NOT gate.
Important Questions from Logic Gates
A two-input logic gate is giving high output only when both the inputs are high. For all other input conditions, the output is low. Select the correct logic gate.
The output is high only if one of the input is high. The above statement represents _____
The number of gate inputs, required to realize expression ABC + AB̅CD + EF̅ + AD is
Which of the following is logically equivalent?
A. ¬p → (q → r) and q → (p ∨ r)
B. (p → q) → r and p → (q → r)
C. (p → q) → (r → s) and (p → r) → (q → s)
Choose the correct answer from the options given below :
Consider the expression Y = P ⨁ Q ⨁ R where P, Q, R are the input variables and Y is the output variable. Y will be logic 0 if
(A) an odd number of input variables are 1
(B) an even number of input variables are 1
(C) an odd number of inputs variables are 0
(D) an even number of input variable are 0
(E) an odd number of input variable between 0 and 1
Choose the correct answer from the options given below:
