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a) Determine the check digit for the barcode data is 79603011497?

a) Determine the check digit for the barcode data is 79603011497?

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.8: Adding And Subtracting Radicals
Problem 6E
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a) Determine the check digit for the barcode data is 79603011497?
Transcribed Image Text:a) Determine the check digit for the barcode data is 79603011497?
Application 4: The UPC Number A check digit (also called a check sum) is used to ensure accuracy: to 'check' for errors. In general, check digits are a single digit computed from the other characters in the string of numbers. The digit on the far right of a UPC barcode is the UPC check digit. All UPC (Universal Product Code) barcodes include a modulo-10 check digit. The UPC check digit is the twelfth digit, located to the far right of the UPC number. The first 11 digits in a UPC barcode are the assigned company prefix and the company-assigned product number. The 12th and final digit is the UPC check digit. Examples Determine the check digit for the barcode data is 69277198116. Solutions X13 =10 - (3x1 + x2 + 3x3 + X4 + 3x5 + x6 + 3x, + xg + 3x, + X10 + 3x11) mod 10 • Add the digits in the odd-numbered positions (first, third, fifth, etc.) together and multiply the total by three: 6+2+7+9+1+6-31 31x3-93 • Add the digits in the even-numbered positions (second, fourth, sixth, etc.). 9+7+1+8+1=26 • Add the two results together: 93+26-119 • Now what single digit number makes the total a multiple of 10? That's the check digit. 119 +1 = 120 1 is the check digit. The full UPC number is now 692771981161
Transcribed Image Text:Application 4: The UPC Number A check digit (also called a check sum) is used to ensure accuracy: to 'check' for errors. In general, check digits are a single digit computed from the other characters in the string of numbers. The digit on the far right of a UPC barcode is the UPC check digit. All UPC (Universal Product Code) barcodes include a modulo-10 check digit. The UPC check digit is the twelfth digit, located to the far right of the UPC number. The first 11 digits in a UPC barcode are the assigned company prefix and the company-assigned product number. The 12th and final digit is the UPC check digit. Examples Determine the check digit for the barcode data is 69277198116. Solutions X13 =10 - (3x1 + x2 + 3x3 + X4 + 3x5 + x6 + 3x, + xg + 3x, + X10 + 3x11) mod 10 • Add the digits in the odd-numbered positions (first, third, fifth, etc.) together and multiply the total by three: 6+2+7+9+1+6-31 31x3-93 • Add the digits in the even-numbered positions (second, fourth, sixth, etc.). 9+7+1+8+1=26 • Add the two results together: 93+26-119 • Now what single digit number makes the total a multiple of 10? That's the check digit. 119 +1 = 120 1 is the check digit. The full UPC number is now 692771981161
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