Documentation

# bi2de

Convert binary vectors to decimal numbers

## Description

example

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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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.

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

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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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.

## Examples

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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 = 5×1

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 $4\left({8}^{3}\right)+2\left({8}^{2}\right)+7\left({8}^{1}\right)+1\left({8}^{0}\right)=2233$.

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