Hex to decimal conversion 32 Bit (single precision)

Calculate decimal representation from a 32-digit (single precision) binary number according to specification of IEEE754.

% Calculate decimal representation from a 32-digit (single precision)

% binary number according to specification of IEEE754.

% The input is a string consisting of a valid number of hexadecimal

% characters (see examples).

% Formula symbols:

% exp: Exponent

% m: mantissa

% s: sign

% r: number bits of exponent

% p: number bits of mantissa

% b: bias

% Examples:

% Exp = 0; m = 0:

% out = IEEE754_Hex2Dec32Bit("00000000") returns 0

% out = IEEE754_Hex2Dec32Bit("80000000") returns 0

% Exp = 0; m > 0 (denormalised number):

% out = IEEE754_Hex2Dec32Bit("007fffff") returns 1.175494210692441e-38

% 0 < exp < 2^r-1; m >= 0 (normalised number):

% out = IEEE754_Hex2Dec32Bit("40ffffff") returns 7.999999523162842

% exp = 2^r-1; m = 0 (+/-infinity):

% out = IEEE754_Hex2Dec32Bit("ff800000") returns -Inf

% out = IEEE754_Hex2Dec32Bit("7f800000") returns Inf

% exp = 2^r-1; m > 0 (not a number)

% out = IEEE754_Hex2Dec32Bit("ffc00000") returns NaN

% out = IEEE754_Hex2Dec32Bit("ffc00001") returns NaN

% Written by Bernd Seggewiß

% Published 17/08/23

% Version 1.0.0

% Version 1.0.1:

% Date: 11/11/24

% - Addition of funtion CUSTOM_BIN2DEC. Convert binary string to decimal.

% decimalValue = CUSTOM_BIN2DEC(binaryStr) takes a binary string

% 'binaryStr' as input and returns its decimal equivalent 'decimalValue'.

% The function processes each character in the string, calculates

% the corresponding power of 2, and accumulates the total to produce

% the final decimal value.

% - Supplemented by the following checks:

% ~ischar(hexString): Checks if hexString is not a character array.

% ~all(ismember(hexString, '0123456789abcdefABCDEF')): Checks if all

% characters in hexString are valid hexadecimal characters (0-9 and a-f or A-F).

% length(hexString) ~= 8: Checks if the length of hexString is not equal to 8.

% Version 1.0.2:

% Date: 15/11/24

% Addition of function custom_hexToBinaryVector. It converts hexadecimal

% string to a binary vector.