dec2bin - Convert decimal integer to its binary representation - MATLAB (original) (raw)

Convert decimal integer to its binary representation

Syntax

Description

binStr = dec2bin([D](#mw%5F5d4ea126-4d83-4079-b235-06df2797ee10)) returns the binary, or base-2, representation of the decimal integer D. The output argumentbinStr is a character vector that represents binary digits using the characters 0 and 1.

If D is a numeric vector, matrix, or multidimensional array, thenbinStr is a two-dimensional character array. Each row ofbinStr represents an element of D.

example

binStr = dec2bin([D](#mw%5F5d4ea126-4d83-4079-b235-06df2797ee10),[minDigits](#mw%5F375baeb1-7051-43d8-8976-d33ce60c4b57)) returns a binary representation with no fewer than minDigits digits.

example

Examples

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Convert a decimal number to a character vector that represents its binary value.

D = 23; binStr = dec2bin(D)

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)

If you specify fewer digits, then dec2bin still returns as many binary digits as required to represent the input number.

Create a numeric array.

To represent the elements of D as binary values, use the dec2bin function. Each row of binStr corresponds to an element of D.

binStr = 3×10 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 binStr, the dec2bin function pads the third row to '0000001110'.

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.

Input Arguments

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Input array, specified as a numeric array, char array, or logical array.

• If D is an array of floating-point numbers, and any element of D has a fractional part, then dec2bin truncates it before conversion. For example, dec2bin converts both 12 and 12.5 to '1100'. The truncation is always to the nearest integer less than or equal to that element.
• If D is a character or logical array, thendec2bin treats the elements of D as integers. However, dec2bin treats characters as their Unicode® values, so specifying D as a character array is not recommended.

Since R2020a

D can include negative numbers. The function converts negative numbers using their two's complement binary values.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | logical | char

Minimum number of digits in the output, specified as a nonnegative integer.

• If D can be represented with fewer thanminDigits binary digits, then dec2bin pads the output.

  D >= 0	Pads with leading zeros
  D < 0	Pads with leading ones (since R2020b)

• If D is so large that it must be represented with more thanminDigits digits, then dec2bin returns the output with as many digits as required.

Tips

• 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.

Extended Capabilities

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Usage notes and limitations:

• If 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.
• If input D is double orsingle, then it must be greater than or equal tointmin('int64') and less than 2^64.
• This function usually produces a variable-size output. To make the output fixed-size, supply minDigits as a constant large enough that the output has a fixed number of columns regardless of input values. For fixed-size output, minDigits must be at least 64 fordouble, 64 for single,32 for half, 1 forlogical, 8 for char,64 for int64, 64 foruint64, 32 for int32,32 for uint32, 16 forint16, 16 for uint16,8 for int8, and 8 foruint8.

Version History

Introduced before R2006a

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User-defined datatypes are restricted to primitive numeric types and classes that inherit from a primitive numeric type.

dec2bin(0,0) returns '0' rather than a 1x0 character vector.