Math

NOR Calculator

Compute the bitwise NOR of two integers (width-limited).

Calculated Output

Result (decimal) 241

Result (binary) 11110001

Formula: NOR = NOT (a OR b), within the chosen bit width

Step-by-Step Breakdown

1. Values used:

2. a (decimal) = 12

3. b (decimal) = 10

4. Bit width = 8

6. Result (decimal) = 241

7. Result (binary) = 11110001

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The math behind it

Compute a OR b, then invert every bit within the chosen bit width. NOR is a universal gate: any logic circuit can be built from NOR gates alone.

With 8 bits, 12 NOR 10 = 241 (11110001).

Why set a bit width?

Inversion depends on how many bits represent the number; the width defines the mask.