Function Repository Resource:

# BitBooleanFunction

Apply a Boolean function to corresponding bits in integers

Contributed by: Stephen Wolfram
 ResourceFunction["BitBooleanFunction"][k][x,y] computes the kth bitwise Boolean function of the integers x and y. ResourceFunction["BitBooleanFunction"][k,n][x1,…,xn] computes the kth n-input bitwise Boolean function of the integers xi.

## Details

ResourceFunction["BitBooleanFunction"] is a generalization of BitAnd, BitXor, etc.

## Examples

### Basic Examples (2)

Compute the sixth bitwise Boolean function:

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This corresponds to computing a bitwise XOR:

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### Scope (1)

Compute the 150th bitwise Boolean function with three inputs:

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### Applications (3)

Plot of a Boolean function:

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A 2D plot of Boolean function versus Mod[i, j]:

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A 3D plot of a Boolean function:

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### Properties and Relations (1)

Recover the index of a bitwise Boolean function:

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### Neat Examples (1)

BitBooleanFunction corresponding to BitAnd:

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## Requirements

Wolfram Language 11.3 (March 2018) or above

## Version History

• 1.0.1 – 13 September 2021
• 1.0.0 – 04 December 2018