# bi2de

Convert binary vectors to decimal numbers

## Syntax

• ``d =bi2de(b)``
• ``d = bi2de(b,flg)``
• ``d = bi2de(b,p)``
• ``d = bi2de(b,p,flg)``

## Description

````d =bi2de(b)` converts a binary row vector `b` to a nonnegative decimal integer. ```
````d = bi2de(b,flg)` converts a binary row vector to a decimal integer, where `flg` determines the position of the most significant digit.```
````d = bi2de(b,p)` converts a base-`p` row vector `b` to a nonnegative decimal integer.```
````d = bi2de(b,p,flg)` converts a base-`p` row vector to a decimal integer, where `flg` determines the position of the most significant digit.```

## Input Arguments

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### `b` — Binary inputrow vector | matrix

Binary input specified as a row vector or matrix.

Example: `[0 1 0]`

Example: ```[1 0 0; 1 0 1]```

 Note:   `b` must represent an integer less than or equal to 252.

### `flg` — MSB flag`'right-msb'` | `'left-msb'`

String that determines whether the first column corresponds to the lowest-order or highest-order digit. If omitted, `bi2de` assumes `'right-msb'`.

### `p` — Basepositive integer scalar

The base of the row vector that is converted to a decimal. Specify as a positive integer greater than or equal to `2`.

Example: `4`

## Output Arguments

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### `d` — Decimal outputscalar | vector

Decimal output converted from a base-`p` row vector `b`. Elements of `d` are nonnegative integers. If `b` is a matrix, each row represents a base-`p` number. In this case, the output `d` is a column vector in which each element is the decimal representation of the corresponding row of `b`.

## Convert Binary Numbers to Decimals

Generate a matrix that contains binary representations of five random numbers between 0 and 15. Convert the binary numbers to decimal integers.

```b = randi([0 1],5,4); d = bi2de(b) ```
```d = 1 5 14 11 15 ```

Convert a base-8 number to its decimal equivalent. Assign the most significant digit to the leftmost position. The output corresponds to .

```d = bi2de([4 2 7 1],8,'left-msb') ```
```d = 2233 ```