Documentation

This is machine translation

Translated by
Mouseover text to see original. Click the button below to return to the English verison of the page.

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

collapse all

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

collapse all

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

Examples

collapse all

Convert decimals 1 through 10 into their equivalent binary representations.

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