(b) Suppose you have another book whose ISBN is partially erased so that you can't read the fifth digit Y5. Can you compute it using the above congruence? Explain why you can always do this. 978-1? 215876 6 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
icon
Concept explainers
Question

How to do b)?

The ISBN of a book is a unique 13-digit code', also known as ISBN-13, that encodes information about
the publisher, registrant, place of publication, and so on. If the ISBN-13 of a book is
Y1Y2Y3 · *· Y13,
then it must satisfy the following congruence:
yı + 3y2 + y3 + 3y4 + y5 + 3y6 + y7 + 3ys + y9 + 3y10 + y11 + 3y12 + Y13 = 0 (mod 10).
(a) Find a book at home and take a picture of it showing the 13-digit ISBN. Then show that its ISBN
satisfies this congruence.
(b) Suppose you have another book whose ISBN is partially erased so that you can't read the fifth digit
Y5. Can you compute it using the above congruence? Explain why you can always do this.
978 - 1? 215 8 7 6 6 0
(c) What if two digits were removed from an ISBN-13? Would you be able to recover the ISBN? Demon-
strate using your book from (a) as an example.
Transcribed Image Text:The ISBN of a book is a unique 13-digit code', also known as ISBN-13, that encodes information about the publisher, registrant, place of publication, and so on. If the ISBN-13 of a book is Y1Y2Y3 · *· Y13, then it must satisfy the following congruence: yı + 3y2 + y3 + 3y4 + y5 + 3y6 + y7 + 3ys + y9 + 3y10 + y11 + 3y12 + Y13 = 0 (mod 10). (a) Find a book at home and take a picture of it showing the 13-digit ISBN. Then show that its ISBN satisfies this congruence. (b) Suppose you have another book whose ISBN is partially erased so that you can't read the fifth digit Y5. Can you compute it using the above congruence? Explain why you can always do this. 978 - 1? 215 8 7 6 6 0 (c) What if two digits were removed from an ISBN-13? Would you be able to recover the ISBN? Demon- strate using your book from (a) as an example.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Points, Lines and Planes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,