NOR Calculator
Free Norcalculator Calculator for exponents & logarithms. Enter values to get step-by-step solutions with formulas and graphs.
Reviewed by Manoj Kumar, Mathematics Educator
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)
References
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy