Bar Code Exercise

Postal Barcodes $($Page $1$ of $2)$

For faster sorting of letters, the United States Postal Service encourages companies that send large volumes of mail to use a bar code denoting the ZIP code. The encoding scheme for a five$-$digit ZIP code is shown in Table $1.$ There are full$-$height frame bars on each side. The five encoded digits are followed by a correction digit, which is computed as follows: Add up all digits, and choose the correction digit to make the sum a multiple of $10.$ For example, the ZIP code $95014$ has sum of digits $19,$ so the correction digit is $1$ to make the sum equal to $20.$

Each digit of the ZIP code, and the correction digit, is encoded according to Table $1,$ where $0$ denotes a half bar and $1$ a full bar. Note that they represent all combinations of two full and three half bars. The digit can be easily computed from the bar code. For example, $01100$ is $07+14+12+01+00=6.$ The only exception is $0,$ which would yield $11$ according weight formula.

Continued on next slide

use at least one function

do not read digits separately

Page $24$