NOR Calculator
Calculate NOR gate operations with step-by-step explanations and truth tables
NOR Gate Calculator
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NOR Gate Operation
NOR (NOT OR) produces 1 only when both input bits are 0, otherwise produces 0. It's the inverse of the OR gate operation.
Example NOR Operations
Basic NOR Examples
NOR produces 1 only when both bits are 0
NOR Truth Table
| A | B | A NOR B |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |
Only true when both inputs are false
NOR Gate Properties
Universal Gate
NOR is a universal gate - any Boolean function can be implemented using only NOR gates.
Logic Symbol
NOR = NOT OR (inverted OR gate)
A NOR B = NOT(A OR B)
De Morgan's Law
A NOR B = NOT A AND NOT B
!(A | B) = !A & !B
Logic Gates Comparison
NOR vs OR
NOR is the inverse of OR gate
OR: 0|0=0, others=1
NOR: 0|0=1, others=0
NOR vs NAND
Both are universal gates
NAND: 1&1=0, others=1
NOR: 0|0=1, others=0
NOR Gate Applications
Digital circuit design
Memory circuits (SR latches)
Boolean function implementation
Computer processor design
Understanding NOR Gates
What is a NOR Gate?
A NOR gate (NOT OR) is a digital logic gate that produces an output of 1 only when both inputs are 0. In all other cases, it produces an output of 0. It's essentially an OR gate followed by a NOT gate.
Key Characteristics:
- • Universal gate (can implement any Boolean function)
- • Inverts the output of an OR gate
- • Used in digital circuit design
- • Foundation for memory circuits
- • Follows De Morgan's laws
NOR Gate in Digital Systems
Boolean Algebra
In Boolean algebra, the NOR operation is represented as the inverse of OR: !(A + B) or (A + B)'. This follows De Morgan's theorem.
Circuit Implementation
NOR gates can be used to create any other logic gate, making them fundamental building blocks in digital electronics and computer design.
Memory Applications
Two cross-coupled NOR gates form an SR (Set-Reset) latch, which is a basic memory element in digital systems.