hex2poly

Convert hexadecimal character vector to binary coefficients

Syntax

b = hex2poly(hex)

b = hex2poly(hex,ord)

Description

b = hex2poly(hex) converts a hexadecimal character vector, hex, to a vector of binary coefficients, b.

b = hex2poly(hex,ord) specifies the power order, ord, of the coefficients that comprise the output. If omitted, ord is 'descending'.

Examples

Convert Hexadecimal Polynomial to Binary Vector

Convert the hexadecimal polynomial '1AF' to a vector of binary coefficients. The coefficients represent the polynomial $$x^8+x^7+x^5+x^3+x^2+x+1$$.

b = hex2poly('1AF')

b = 1×9

     1     1     0     1     0     1     1     1     1

Convert Hexadecimal into Ascending Order Binary Vector

Convert hexadecimal '0x82608EDB' to a vector of binary coefficients. Specify that the binary coefficients are in ascending order.

b = hex2poly('0x82608EDB','ascending')

b = 1×32

     1     1     0     1     1     0     1     1     0     1     1     1     0     0     0     1     0     0     0     0     0     1     1     0     0     1     0     0     0     0     0     1

The binary representation corresponds to a polynomial of $$x^{31}+x^{25}+x^{22}+x^{21}+x^{15}+x^{11}+x^{10}+x^9+x^7+x^6+x^4+x^3+x+1$$.

Input Arguments

hex — Hexadecimal number

character vector

Hexadecimal number, specified as a character vector.

Example: 'FF'

Example: '0x3FA'

Data Types: char

ord — Power order

'descending' (default) | 'ascending'

Power order of the vector of binary coefficients, specified as a character vector having a value of 'ascending' or 'descending'.

Data Types: char

Output Arguments

b — Binary coefficients

vector

Binary coefficients representing a polynomial, returned as a row vector having length equal to p + 1, where p is the order of hexadecimal input.

Version History

Introduced in R2015b