FA-79639 / Barcode symbology encoding / Member archive

QR numeric remainder of two digits is sized as 8 bits · case 04

Capacity checks reject payloads that would still fit, forcing a larger symbol version.

Member previewVariant 4 · 3 implementations · 8 checks per implementation

Case contract

Compute the length in bits of one QR segment: 4-bit mode indicator, a character count indicator whose width depends on mode and version band (1-9, 10-26, 27-40): numeric 10/12/14, alphanumeric 9/11/13, byte 8/16/16, and the data bits: numeric 10 bits per 3 digits plus 4 or 7 for a remainder of 1 or 2, alphanumeric 11 bits per pair plus 6 for a single, byte 8 bits per UTF-8 byte. Alphanumeric allows 0-9 A-Z space $ % * + - . / :. A count that does not fit the indicator is too-long. Errors: version, charset, mode, too-long.

Why this case matters

Retail, logistics, pharmacy and document workflows depend on encoders that produce exactly the module pattern, code-set switches, separators and quiet zones scanners expect; one misplaced module or separator makes a label unreadable or, worse, scan as different data.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression: numeric remainder bits 0	`42`	`41`	Failed

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