Bar codes are just a computer-readable version of the number that’s written below the barcode. So there’s as many possible barcodes as there are numbers with that many digits.
UPC codes are 12 digits long, so there’s about 1 trillion possible codes.
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n squares can code 2^(n) values.
10 squares is about a thousand. 20 a million, 30 a billion.
100 squares (10×10) is enough to index every website on the internet.
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