NOR Calculator
NOR Calculator
Do you want to quickly compute the NOR operation between two numbers? Here is our NOR Calculator tool that you need. You can enter values and instantly see the result of the NOR operation.
How to Use the Calculator
To use the NOR Calculator is simple. Here’s what you need to do:
1. Select the Binary Representation: Choose the bit length (8bit, 12bit, or 16bit).

 Example: Select 12bit.
2. Choose the Data Type: Select either Decimal or Binary.

 Example: Select Decimal.
3. Enter the First Number: Input the first number.

 Example: Enter 5.
4. Enter the Second Number: Input the second number.

 Example: Enter 3.
Once you input these values, press the “Calculate” button to find the NOR result.
What is NOR?
The NOR operation is a logical operation that outputs true only when both inputs are false. In binary terms, it’s the negation of the OR operation. It’s widely used in digital circuits and Boolean algebra.
Formula
$\text{NOR}(A,B)=\mathrm{\neg}(A\vee B)$
Variables
Variable  Description 

$A$  First input number 
$B$  Second input number 
$\vee $  Logical OR operation 
$\mathrm{\neg}$  Logical NOT operation 
Nor Calculation Examples
Example 1
 Binary Representation: 8bit
 Data Type: Decimal
 First Number: 12
 Second Number: 5
Calculation Steps:
1. Convert to Binary:

 12 in 8bit binary:
00001100
 5 in 8bit binary:
00000101
 12 in 8bit binary:
2. Perform OR Operation:

00001100
OR00000101
=00001101
3. Perform NOT Operation:

 NOT
00001101
=11110010
 NOT
4. Convert Back to Decimal:

11110010
in decimal (two’s complement): 14
5. Result:
 The NOR result of 12 and 5 is 14.
Example 2
 Binary Representation: 12bit
 Data Type: Binary
 First Number:
101010101010
 Second Number:
010101010101
Calculation Steps:
1. Perform OR Operation:

101010101010
OR010101010101
=111111111111
2. Perform NOT Operation:

 NOT
111111111111
=000000000000
 NOT
4. Convert Back to Decimal:

000000000000
in decimal: 0
5. Result:
 The NOR result of
101010101010
and010101010101
is 0.
The NOR Calculator simplifies these steps, providing you quick and accurate results for any given inputs. Whether you’re dealing with binary or decimal numbers, this tool helps you perform the NOR operation effortlessly.