How does the NOR Calculator work?
The NOR calculator provided by Jimni Nomics computes the NOR gate output for a pair of inputs. Each input is first converted to binary, as the NOR operation is a bitwise calculation. The result is computed by comparing each bit pair of the two inputs, using the following logic:
- If both input bits are 0, the output bit is 1.
- If at least one input bit is 1, the output bit is 0.
The calculator supports multiple input formats—binary, octal, or decimal—and automatically converts them into binary. The NOR gate then processes the inputs bit by bit to produce the final output.
Truth Table for NOR Gate
The truth table shows that the NOR gate produces an output of 1 only when both inputs are 0, and 0 otherwise.
NOR Logic Converter Example
Let's take an example with the binary inputs:
The NOR gate calculates the following output:
- For the first pair of bits (1 and 0), the output is 0.
- For the second pair of bits (0 and 1), the output is 0.
- For the third pair of bits (0 and 0), the output is 1.
- For the fourth pair of bits (1 and 1), the output is 0.
The final NOR gate output for A and B is 0010.
How to Use the NOR Calculator
To calculate the NOR output for a set of numbers, follow these steps:
- Select the number of bits (e.g., 8 bits).
- Choose the input data type: binary, decimal, or octal.
- Enter two numbers for which you want the NOR output.
The calculator will return the NOR result in binary, decimal, and octal formats.
Other Bit Logic Calculators
In addition to the NOR gate, Jimni Nomics offers calculators for other bitwise logic operations:
- AND gate – Outputs 1 only when both inputs are 1.
- OR gate – Outputs 1 when at least one input is 1.
- NOT gate – Inverts the input.
- NAND gate – Outputs 0 only when both inputs are 1.
- XOR gate – Outputs 1 only when the inputs are different.
- XNOR gate – Outputs 1 only when the inputs are the same.
Frequently Asked Questions
Is NOR a universal gate?
Yes, the NOR gate is a universal gate. It can be used to implement any Boolean function by combining multiple NOR gates, eliminating the need for other logic gates.
How can I convert NOR gates to an AND gate?
To simulate an AND gate using NOR gates, you would use three NOR gates. First, invert the inputs A and B using two NOR gates. Then, pass their outputs into a third NOR gate, which will simulate the AND gate behavior.
What is a NOR gate equivalent to?
The NOR gate is equivalent to an OR gate followed by a NOT gate. It produces an output of 1 only when both inputs are 0.
What is the difference between a NOR and an OR gate?
While an OR gate outputs 1 when either or both inputs are 1, a NOR gate produces the opposite—it outputs 0 unless both inputs are 0.
What is the difference between NAND and NOR gates?
A NAND gate inverts the AND gate output, while a NOR gate inverts the OR gate output. NAND outputs 0 only when both inputs are 1, while NOR outputs 1 only when both inputs are 0.