# oct2poly

Convert octal number to binary coefficients

## Syntax

``b = oct2poly(oct)``
``b = oct2poly(oct,ord)``

## Description

example

````b = oct2poly(oct)` converts an octal number, `oct`, to a vector of binary coefficients, `b`. ```
````b = oct2poly(oct,ord)` specifies the power order, `ord`, of the coefficients that comprise the output. If omitted, `ord` is `'descending'`.```

## Examples

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Convert the octal number `11` to a binary vector.

`b = oct2poly(11)`
```b = 1×4 1 0 0 1 ```

The binary vector corresponds to the polynomial ${x}^{3}+1$.

Convert the octal number `65` to an ascending order binary vector.

`b = oct2poly(65,'ascending')`
```b = 1×6 1 0 1 0 1 1 ```

Sixty-five octal is the generator polynomial of a (15,10) Hamming code in the Bluetooth® v4.0 standard. The binary representation of 65 octal is 110101 and the GF(2) polynomial is $1+{x}^{2}+{x}^{4}+{x}^{5}$ or [1 0 1 0 1 1] in ascending powers.

## Input Arguments

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Octal number, specified as a positive integer scalar.

Example: `15`

Example: `3177`

Data Types: `double`

Power order of the binary coefficients vector, specified as a character vector having a value of `'ascending'` or `'descending'`.

Data Types: `char`

## Output Arguments

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Binary coefficients representing a polynomial, returned as a row vector having length equal to p + 1, where p is the order of octal input.

## Version History

Introduced in R2015b