Which mathematical innovation in point-of-sale systems transformed retail by automatically identifying products without manual input?

The intersection of mathematics and retail has transformed how products are marketed, sold, and analyzed. Mathematical algorithms power everything from inventory management to pricing strategies. This poll tests your knowledge about a groundbreaking point-of-sale innovation that revolutionized retail through mathematical precision.

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The barcode scanner, which uses binary encoding and error detection algorithms
The digital cash register, which uses arithmetic operations for balancing transactions
The credit card reader, which uses modular arithmetic for verification numbers
The touchscreen interface, which uses coordinate geometry for input detection