Convert decimal integer to its binary representation
binStr = dec2bin( returns the binary, or
base-2, representation of the decimal integer
D. The output argument
binStr is a character vector that represents binary digits using the
D is a numeric vector, matrix, or multidimensional array, then
binStr is a two-dimensional character array. Each row of
binStr represents an element of
Convert a decimal number to a character vector that represents its binary value.
D = 23; binStr = dec2bin(D)
binStr = '10111'
Specify the minimum number of binary digits that
dec2bin returns. If you specify more digits are required, then
dec2bin pads the output.
D = 23; binStr = dec2bin(D,8)
binStr = '00010111'
If you specify fewer digits, then
dec2bin still returns as many binary digits as required to represent the input number.
binStr = dec2bin(D,1)
binStr = '10111'
Create a numeric array.
D = [1023 122 14];
To represent the elements of
D as binary values, use the
dec2bin function. Each row of
binStr corresponds to an element of
binStr = dec2bin(D)
binStr = 3x10 char array '1111111111' '0001111010' '0000001110'
Since all rows of a character array must have the same number of characters,
dec2bin pads some rows of
binStr. For example, the number
14 can be represented by the binary digits
'1110'. But to match the length of the first row of
dec2bin function pads the third row to
Starting in R2020a, the
dec2bin function converts negative numbers using their two's complement binary values.
For example, these calls to
dec2bin convert negative numbers.
ans = '11111111'
ans = '11110000'
D— Input array
Input array, specified as a numeric array.
D is an array of floating-point numbers, and any element
D has a fractional part, then
truncates it before conversion. For example,
The truncation is always to the nearest integer less than or equal to that
D is a character or logical array, then
dec2bin treats the elements of
dec2bin treats characters as their
Unicode® values, so specifying
D as a character array is not
D can include negative numbers. The function converts negative
numbers using their two's complement binary values.
minDigits— Minimum number of digits in output
Minimum number of digits in the output, specified as an integer.
D can be represented with fewer than
minDigits binary digits, then
Pads with leading zeroes
Pads with leading ones (since R2020b)
D is so large that it must be represented with more than
minDigits digits, then
dec2bin returns the
output with as many digits as required.
The output of
dec2bin is the same whether your computer stores
values in memory using big-endian or little-endian format. For more information on these
formats, see Endianness.
Usage notes and limitations:
minDigits is specified, the output will have that number of
columns even if
D is empty. If
minDigits is not
specified, the output will have at least one column.
single, then it must be greater than or equal to
intmin('int64') and less than
This function usually produces a variable-size output. To make the output
minDigits as a constant large enough that the
output has a fixed number of columns regardless of input values. For fixed-size
minDigits must be at least
backgroundPoolor accelerate code with Parallel Computing Toolbox™
This function fully supports thread-based environments. For more information, see Run MATLAB Functions in Thread-Based Environment.