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# de2bi

Convert decimal numbers to binary vectors

## Syntax

``b = de2bi(d)``
``b = de2bi(d,n)``
``b = de2bi(d,n,p)``
``b = de2bi(d,[],p)``
``b = de2bi(d,...,flg)``

## Description

````b = de2bi(d)` converts a nonnegative decimal integer `d` to a binary row vector. If `d` is a vector, the output `b` is a matrix in which each row is the binary form of the corresponding element in `d`.```
````b = de2bi(d,n)` has an output with `n` columns.```
````b = de2bi(d,n,p)` converts a nonnegative decimal integer `d` to a base-`p` row vector.```
````b = de2bi(d,[],p)` specifies the base, `p` .```
````b = de2bi(d,...,flg)` uses `flg` to determine whether the first column of `b` contains the lowest-order or highest-order digits.```

## Input Arguments

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Decimal input which can be a scalar, vector, or matrix. Specify elements as nonnegative integers. If `d` is a matrix, it is treated like the column vector `d(:)`.

Example: `4`

Example: ```[10; 5]```

### Note

To ensure an accurate conversion, `d` must be less than or equal to 252.

The number of output columns specified as a positive scalar. If necessary, the binary representation of `d` is padded with extra zeros.

Example: `3`

An integer that specifies the base of the output `b`. Specify as an integer greater than or equal to `2`. The first column of `b` is the lowest base-`p` digit. The output is padded with extra zeros if necessary so that it has `n` columns. If `d` is a nonnegative decimal vector, the output `b` is a matrix in which each row is the base-`p` form of the corresponding element in `d`. If `d` is a matrix, `de2bi` treats it like the vector `d(:)`.

Example: `8`

Character vector that determines whether the first column of `b` contains the lowest-order or highest-order digits. If omitted, `de2bi` assumes `'right-msb'`.

## Output Arguments

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Binary representation of `d` in the form of a row vector or matrix.

## Examples

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Convert decimals 1 through 10 into their equivalent binary representations.

```d = (1:10)'; b = de2bi(d); [d b]```
```ans = 10×5 1 1 0 0 0 2 0 1 0 0 3 1 1 0 0 4 0 0 1 0 5 1 0 1 0 6 0 1 1 0 7 1 1 1 0 8 0 0 0 1 9 1 0 0 1 10 0 1 0 1 ```

Convert 3 and 9 into binary numbers. Each value is represented by a four-element row.

`b = de2bi([3 9])`
```b = 2×4 1 1 0 0 1 0 0 1 ```

Repeat the conversion with the number of columns set to 5. The output is now padded with zeros in the fifth column.

`bb = de2bi([3 9],5)`
```bb = 2×5 1 1 0 0 0 1 0 0 1 0 ```

Convert the decimals 1 through 6 to their base 3 equivalents. Set the leftmost bit as the most significant digit.

```d = (1:6)'; t = de2bi(d,[],3,'left-msb'); [d t]```
```ans = 6×3 1 0 1 2 0 2 3 1 0 4 1 1 5 1 2 6 2 0 ```