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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

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Section
BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem

Compute the check digit for the UPC symbols whose first 11 digits are given.

a. images

b. images

c. images

d. images

(a)

To determine

The check digit for the UPC symbol whose first 11 digits are given.

Explanation

Given information:

Formula used:

The dot product (x1,x2,...,xn)(y1,y2,...,yn) of two ordered n-tuples(vectors) (x1,x2,...,xn) and (y1,y2,...,yn) is computed by (x1,x2,...,xn)(y1,y2,...,yn)=x1y1+x2y2+...+xnyn.

Explanation:

UPC symbol consists of 12 digits, x1x2x3x4x5x6x7x8x9x10x11x12, with last, x12, being the check digit.

The weighting vector used for the UPC symbols is the 11 – tuple (3,1,3,1,3,1,3,1,3,1,3).

The check digit x12 can be computed as,

(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11)(3,1,3,1,3,1,3,1,3,1,3)x12(mod10)

Here, the 11 digit code is x1x2x3x4x5x6x7x8x9x10x11=07599245114

The computation

(0,7,5,9,

(b)

To determine

The check digit for the UPC symbol whose first 11 digits are given.

(c)

To determine

The check digit for the UPC symbol whose first 11 digits are given.

(d)

To determine

The check digit for the UPC symbol whose first 11 digits are given.

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