XNOR Calculator
Compute the XNOR logic operation (Exclusive NOR / Equivalence gate) with complete truth tables. Designed for software developers, electrical engineers, students, and computer architecture researchers requiring deterministic client-side accuracy.
Enter binary bit patterns.
Calculated Output
Step-by-Step Mathematical Proof
Active DerivationWhat Is XNOR Calculator?
The XNOR operation (Exclusive NOR, also called the Equivalence gate) outputs 1 if and only if both input bits are identical (both 0 or both 1). If the input bits differ, it outputs 0.
How Does It Work?
Computes NOT(A XOR B). 0 XNOR 0 = 1, 0 XNOR 1 = 0, 1 XNOR 0 = 0, 1 XNOR 1 = 1.
Mathematical Algorithm
Step-by-Step Example
Important Rules & Edge Cases
- Outputs 1 when inputs are equal; outputs 0 when inputs are unequal.
- Acts as a hardware 1-bit equality comparator.
Practical Applications in Engineering
- Hardware magnitude comparators and identity checkers (checking if A == B).
- Parity generation and checking circuits in communications.
- Arithmetic carry-lookahead generator circuits.
Common Mistakes to Avoid
- Caution: Confusing XNOR with XOR (XNOR is the exact opposite / inversion of XOR).
- Caution: Assuming XNOR outputs 0 when both inputs are 0.
Frequently Asked Questions
Why is XNOR called an equivalence gate?
Because its output is 1 whenever its inputs are logically equivalent (A == B).
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