dec2bin

Convert symbolic integer in decimal to binary representation

Syntax

str = dec2bin(d)

str = dec2bin(d,n)

Description

str = dec2bin(d) returns the binary representation of symbolic integer d as a character vector.

If d is a matrix or multidimensional array of symbolic integers with N elements, dec2bin returns a character array with N rows. Each row of the output str corresponds to an element of d accessed with linear indexing.

str = dec2bin(d,n) returns a binary representation with at least n bits.

Examples

Convert Integer to Binary Representation

Define a large integer $$2^{60}$$ as a symbolic number.

d = sym(2)^60

d = $$1152921504606846976$$

Convert the decimal number to binary representation.

str = dec2bin(d)

str = 
'1000000000000000000000000000000000000000000000000000000000000'

Convert Array of Integers to Binary Representation

Create a 2-by-2 symbolic matrix that contains integers in decimal representation.

d = [sym(2)^6 123; 54 11]

d = 
$$\left(\begin{array}{cc}64& 123\\ 54& 11\end{array}\right)$$

Convert the integers to binary representation using dec2bin. dec2bin returns 4 rows of character vectors. Each row contains a 7-digit binary number.

str = dec2bin(d)

str = 4x7 char array
    '1000000'
    '0110110'
    '1111011'
    '0001011'

Return a binary representation with at least 8 digits by specifying the number of digits.

str = dec2bin(d,8)

str = 4x8 char array
    '01000000'
    '00110110'
    '01111011'
    '00001011'

Input Arguments

d — Integers in decimal representation

symbolic number | symbolic vector | symbolic matrix | symbolic array

Integers in decimal representation, specified as a symbolic number, vector, matrix, or array.

In R2023a: d can include negative integers. The function converts negative integers using their two's complement binary values.

Example: sym([2 4])

n — Number of bits

scalar positive integer

Number of bits, specified as a scalar positive integer.

Example: 8

Version History

Introduced in R2019a