Math

Bitwise Calculator

Find AND, OR and XOR of two numbers.

Calculated Output

AND (a & b) 8

OR (a | b) 14

XOR (a ^ b) 6

Formula: compare bits position by position

Step-by-Step Breakdown

1. Values used:

2. Number A = 12

3. Number B = 10

5. AND (a & b) = 8

6. OR (a | b) = 14

7. XOR (a ^ b) = 6

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The math behind it

AND keeps bits set in both; OR keeps bits set in either; XOR keeps bits set in exactly one.

12 & 10 = 8, 12 | 10 = 14, 12 ^ 10 = 6.

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Use the Number Base converter to view binary.