# Why does subtracting '0' from an array of char appear to convert it to a numerical double.

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Chris Joyce on 27 Jan 2023
Commented: Walter Roberson on 27 Jan 2023
X = '11231101' is an array of char
X - '0' seems to convert it to an array of double (I have seen coding doing this)
How is this working and where can I find an explanation of it. It looks very useful, but I want to understand it before I use it for real.
Stephen23 on 27 Jan 2023
Edited: Stephen23 on 27 Jan 2023
"How is this working and where can I find an explanation of it."
It simply subtracts the character codes of each character. Unicode character codes are briefly introduced here:
Like everything else on your computer, text is really just long lists of numbers, so there is no reason why they cannot be subtracted, multiplied, added, etc.

Rik on 27 Jan 2023
The minus function is not really defined for char, so the operands need to be converted to a datatype that is supported.
Since char is a UTF-16 encoding, subtracting '0' from a char vector will convert the array to double, essentially converting all characters to their Unicode representation. Since those were developed by people to make sense, they just happen to be in increasing order.
double('0123456789')
ans = 1×10
48 49 50 51 52 53 54 55 56 57
double('0')
ans = 48
double('0123456789')-double('0')
ans = 1×10
0 1 2 3 4 5 6 7 8 9
Thus, subtracting 48 from the UTF-16 encoded Unicode value will give you the equivalent numbers.
Rik on 27 Jan 2023
It doesn't even hold for 'normal' arabic numerals if you look at superscript (because 123 were introduced at an earlier stage):
low='₀₁₂₃₄₅₆₇₈₉';low_zero=low(1);
sup='⁰¹²³⁴⁵⁶⁷⁸⁹';sup_zero=sup(1);
low-low_zero
ans = 1×10
0 1 2 3 4 5 6 7 8 9
sup-sup_zero
ans = 1×10
0 -8119 -8126 -8125 4 5 6 7 8 9
Walter Roberson on 27 Jan 2023
Good point, @Rik

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