Logic Gate Calculator
Calculate AND, OR, NOT, NAND, NOR, XOR, and XNOR outputs based on two provided binary inputs. Logic Gate Calculator helps students, engineers, and electronics enthusiasts analyze and verify digital circuit behavior.
Highlights
- Evaluate common digital logic gates using two binary inputs.
- Calculate AND, OR, NAND, NOR, XOR, and XNOR outputs instantly.
- View separate NOT gate results for both Input A and Input B.
- Use simple LOW (0) and HIGH (1) input selections.
- Ideal for students, engineers, and electronics enthusiasts analyzing digital circuits.
Table of Contents
How Logic Gate Calculator Works?
The Logic Gate Calculator evaluates two binary inputs, A and B. Each input can be either 0 (LOW) or 1 (HIGH). It applies Boolean algebra rules to calculate the outputs of AND, OR, NOT, NAND, NOR, XOR, and XNOR gates.
The main Boolean operations are represented mathematically as follows:
NOT A and NOT B invert their respective inputs. NAND is the inverse of AND, while NOR is the inverse of OR. XOR produces HIGH only when the inputs differ, and XNOR produces HIGH only when the inputs are identical.
| Input A | Input B | AND | OR | NOT A | NOT B | NAND | NOR | XOR | XNOR |
|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 1 |
| 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0 |
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 |
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 |
The calculator selects the row matching the chosen values for Input A and Input B, then displays all eight corresponding output states.
Practical Use Cases
Students can use the calculator to check Boolean algebra exercises, complete truth tables, and compare expected gate results while learning digital logic fundamentals.
Electronics engineers can quickly verify the behavior of basic two-input logic combinations during circuit design, documentation, or early-stage troubleshooting.
Digital circuit designers can use the outputs to confirm whether a proposed AND, OR, NAND, NOR, XOR, or XNOR relationship matches the required control logic.
Electronics hobbyists can test logic conditions before assembling circuits with switches, LEDs, integrated logic gates, or microcontroller interfaces.
Teachers and instructors can demonstrate all possible combinations of two binary inputs and use the truth-table results to explain inversion, equality, and difference detection.
Accuracy and Limitations
The calculator provides exact Boolean results for the two permitted binary inputs, 0 (LOW) and 1 (HIGH), using standard truth-table definitions for AND, OR, NOT, NAND, NOR, XOR, and XNOR gates. It does not model real electronic behavior such as voltage thresholds, propagation delay, signal noise, floating inputs, fan-out, transistor characteristics, or invalid logic states, and it evaluates only two-input combinations with separate NOT outputs for A and B.
Quick Examples
Example #1: Both Inputs LOW
Evaluates logic gate outputs when both binary inputs are 0 (LOW).
Example #2: Both Inputs HIGH
Evaluates logic gate outputs when both binary inputs are 1 (HIGH).
Example #3: Mixed Logic Inputs
Evaluates logic gate outputs when the two binary inputs have opposite states.
