# Questions in Error correction codes

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### Question Description

Here are some questions in Error Correction Codes,

Questions number 1 and 2 written in the pictures that written by hand , the other picture is showing the exercises that are required to solve question number 2,

Please I want you to make sure that you give me a 100% correct solutions,

And please illustrate all the steps of the solutions so I can understand every single step ,

I’m going to use this solutions to prepare for exam,

Here is the link of the textbook that you should use to solve the questions,

2ea35487_f808_46ab_8c87_b56333801503.jpeg
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1c23586e_d2e5_4ddb_aef5_73f047f07f7e.jpeg

wolfram777
School: UT Austin

By the way here's the complete solution, with answer for 1st question also.

1)
Let’s assume that a digit x of the ISBN number is in error. Let’s assume that the digit has been
modified to be x+r instead of just x.
Now, for the original ISBN number, this will hold:
(
)
(
)
)
(
[Distributive property of
modulus] [Equation A]
where n is integer between 1 and 9 (inclusive) which depends on the position of digit x in the ISBN
number, and C is the check-bit.
Now after the digit x has been altered, assuming that the error goes undetected, the check-bit must
still be valid,
(
(
))
[
(
)
(
)]
[Distributive
property of modulus]
(
)
(
)
(
)
[Distributive property of modulus] [Equation B].
Now let’s subtract equation A from equation B,
(
)
(
)
(
)
(
)
(
)
(
)
This means the number
must be a multiple of 11 for the modulu...

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Anonymous
Top quality work from this guy! I'll be back!

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