﻿ Combinatorics.TruthTable Method (Int32)

Generates all possible two symbol ordered permutations with repetitions allowed (a truth table).

Namespace:  Accord.Math
Assembly:  Accord.Math (in Accord.Math.dll) Version: 3.8.0
Syntax
```public static int[][] TruthTable(
int length
)```

#### Parameters

length
Type: SystemInt32
The length of the sequence to generate.

#### Return Value

Type: Int32
Examples

Suppose we would like to generate a truth table for a binary problem. In this case, we are only interested in two symbols: 0 and 1. Let's then generate the table for three binary values

```int length = 3;  // The number of variables; or number
// of columns in the generated table.

// Generate the table using Combinatorics.TruthTable(3)
int[][] table = Combinatorics.TruthTable(length);

// The generated table will be:
{
new int[] { 0, 0, 0 },
new int[] { 0, 0, 1 },
new int[] { 0, 1, 0 },
new int[] { 0, 1, 1 },
new int[] { 1, 0, 0 },
new int[] { 1, 0, 1 },
new int[] { 1, 1, 0 },
new int[] { 1, 1, 1 },
};```