NOR Calculator
Free Norcalculator Calculator for exponents & logarithms. Enter values to get step-by-step solutions with formulas and graphs.
Formula
NOR(A, B) = NOT(A OR B) = (A + B)'
The NOR operation first computes the logical OR of inputs A and B, then negates the result. NOR outputs 1 (TRUE) only when all inputs are 0 (FALSE). It is a universal gate, meaning any logic function can be built from NOR gates alone.
Worked Examples
Example 1: Basic NOR Gate Operation
Problem: Calculate the NOR of inputs A=1 and B=0.
Solution: Step 1: Compute OR\nA OR B = 1 OR 0 = 1\n\nStep 2: Compute NOT (negate the OR result)\nNOT(1) = 0\n\nTherefore NOR(1, 0) = 0\n\nThis matches the truth table: NOR outputs 1 only when both inputs are 0.
Result: NOR(1, 0) = 0
Example 2: Bitwise NOR of Binary Numbers
Problem: Compute the bitwise NOR of binary 1010 and 1100.
Solution: Align the bits and apply NOR to each position:\nPosition 3: NOR(1, 1) = NOT(1 OR 1) = NOT(1) = 0\nPosition 2: NOR(0, 1) = NOT(0 OR 1) = NOT(1) = 0\nPosition 1: NOR(1, 0) = NOT(1 OR 0) = NOT(1) = 0\nPosition 0: NOR(0, 0) = NOT(0 OR 0) = NOT(0) = 1\n\nResult: 0001 (decimal 1)
Result: 1010 NOR 1100 = 0001 (decimal: 10 NOR 12 = 1)
Frequently Asked Questions
How accurate are the results from NOR Calculator?
All calculations use established mathematical formulas and are performed with high-precision arithmetic. Results are accurate to the precision shown. For critical decisions in finance, medicine, or engineering, always verify results with a qualified professional.
Is my data stored or sent to a server?
No. All calculations run entirely in your browser using JavaScript. No data you enter is ever transmitted to any server or stored anywhere. Your inputs remain completely private.
What formula does NOR Calculator use?
The formula used is described in the Formula section on this page. It is based on widely accepted standards in the relevant field. If you need a specific reference or citation, the References section provides links to authoritative sources.
Can I share or bookmark my calculation?
You can bookmark the calculator page in your browser. Many calculators also display a shareable result summary you can copy. The page URL stays the same so returning to it will bring you back to the same tool.
How do I get the most accurate result?
Enter values as precisely as possible using the correct units for each field. Check that you have selected the right unit (e.g. kilograms vs pounds, meters vs feet) before calculating. Rounding inputs early can reduce output precision.
Can I use the results for professional or academic purposes?
You may use the results for reference and educational purposes. For professional reports, academic papers, or critical decisions, we recommend verifying outputs against peer-reviewed sources or consulting a qualified expert in the relevant field.