**Encoding and Decoding Messages** Encoding a message begins with assigning each letter of the alphabet a positive integer using a specific pattern. This converts the original message into a series of numbers instead of words. Decoding is the process of reversing this encoding. Assume the table below was used to encode an important secret message: \[ \begin{array}{|c|c|c|c|c|} \hline \text{A} - 1 & \text{F} - 6 & \text{K} - 11 & \text{P} - 16 & \text{U} - 21 & \text{Z} - 26 \\ \text{B} - 2 & \text{G} - 7 & \text{L} - 12 & \text{Q} - 17 & \text{V} - 22 & \text{Blank} - 27 \\ \text{C} - 3 & \text{H} - 8 & \text{M} - 13 & \text{R} - 18 & \text{W} - 23 & \\ \text{D} - 4 & \text{I} - 9 & \text{N} - 14 & \text{S} - 19 & \text{X} - 24 & \\ \text{E} - 5 & \text{J} - 10 & \text{O} - 15 & \text{T} - 20 & \text{Y} - 25 & \\ \hline \end{array} \] You intercepted the following encoded message from Boris and Natasha: 25 19 19 30 41 17 15 26 27 41 15 28 18 41 18 29 41 34 22 19 41 27 15 34 22 You do not know the encoding or decoding function, but you know this message consists of 6 words. **Using the encoding system described above, answer the following questions.** **Analysis** 1. From previous work with Boris and Natasha, you know that their encoding and decoding functions are always linear and have 1 as the coefficient of x. Write the general form of the linear function that could be used to decode the message.
**Encoding and Decoding Messages** Encoding a message begins with assigning each letter of the alphabet a positive integer using a specific pattern. This converts the original message into a series of numbers instead of words. Decoding is the process of reversing this encoding. Assume the table below was used to encode an important secret message: \[ \begin{array}{|c|c|c|c|c|} \hline \text{A} - 1 & \text{F} - 6 & \text{K} - 11 & \text{P} - 16 & \text{U} - 21 & \text{Z} - 26 \\ \text{B} - 2 & \text{G} - 7 & \text{L} - 12 & \text{Q} - 17 & \text{V} - 22 & \text{Blank} - 27 \\ \text{C} - 3 & \text{H} - 8 & \text{M} - 13 & \text{R} - 18 & \text{W} - 23 & \\ \text{D} - 4 & \text{I} - 9 & \text{N} - 14 & \text{S} - 19 & \text{X} - 24 & \\ \text{E} - 5 & \text{J} - 10 & \text{O} - 15 & \text{T} - 20 & \text{Y} - 25 & \\ \hline \end{array} \] You intercepted the following encoded message from Boris and Natasha: 25 19 19 30 41 17 15 26 27 41 15 28 18 41 18 29 41 34 22 19 41 27 15 34 22 You do not know the encoding or decoding function, but you know this message consists of 6 words. **Using the encoding system described above, answer the following questions.** **Analysis** 1. From previous work with Boris and Natasha, you know that their encoding and decoding functions are always linear and have 1 as the coefficient of x. Write the general form of the linear function that could be used to decode the message.
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![**Encoding and Decoding Messages**
Encoding a message begins with assigning each letter of the alphabet a positive integer using a specific pattern. This converts the original message into a series of numbers instead of words. Decoding is the process of reversing this encoding. Assume the table below was used to encode an important secret message:
\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{A} - 1 & \text{F} - 6 & \text{K} - 11 & \text{P} - 16 & \text{U} - 21 & \text{Z} - 26 \\
\text{B} - 2 & \text{G} - 7 & \text{L} - 12 & \text{Q} - 17 & \text{V} - 22 & \text{Blank} - 27 \\
\text{C} - 3 & \text{H} - 8 & \text{M} - 13 & \text{R} - 18 & \text{W} - 23 & \\
\text{D} - 4 & \text{I} - 9 & \text{N} - 14 & \text{S} - 19 & \text{X} - 24 & \\
\text{E} - 5 & \text{J} - 10 & \text{O} - 15 & \text{T} - 20 & \text{Y} - 25 & \\
\hline
\end{array}
\]
You intercepted the following encoded message from Boris and Natasha:
25 19 19 30 41 17 15 26 27 41 15 28 18 41 18 29 41 34 22 19 41 27 15 34 22
You do not know the encoding or decoding function, but you know this message consists of 6 words.
**Using the encoding system described above, answer the following questions.**
**Analysis**
1. From previous work with Boris and Natasha, you know that their encoding and decoding functions are always linear and have 1 as the coefficient of x. Write the general form of the linear function that could be used to decode the message.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e894ab5-7435-4177-a9fc-18dc2f11d2de%2F42299cdb-3f20-4593-8e48-fe8d64b93cba%2Fufmngox_processed.png&w=3840&q=75)
Transcribed Image Text:**Encoding and Decoding Messages**
Encoding a message begins with assigning each letter of the alphabet a positive integer using a specific pattern. This converts the original message into a series of numbers instead of words. Decoding is the process of reversing this encoding. Assume the table below was used to encode an important secret message:
\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{A} - 1 & \text{F} - 6 & \text{K} - 11 & \text{P} - 16 & \text{U} - 21 & \text{Z} - 26 \\
\text{B} - 2 & \text{G} - 7 & \text{L} - 12 & \text{Q} - 17 & \text{V} - 22 & \text{Blank} - 27 \\
\text{C} - 3 & \text{H} - 8 & \text{M} - 13 & \text{R} - 18 & \text{W} - 23 & \\
\text{D} - 4 & \text{I} - 9 & \text{N} - 14 & \text{S} - 19 & \text{X} - 24 & \\
\text{E} - 5 & \text{J} - 10 & \text{O} - 15 & \text{T} - 20 & \text{Y} - 25 & \\
\hline
\end{array}
\]
You intercepted the following encoded message from Boris and Natasha:
25 19 19 30 41 17 15 26 27 41 15 28 18 41 18 29 41 34 22 19 41 27 15 34 22
You do not know the encoding or decoding function, but you know this message consists of 6 words.
**Using the encoding system described above, answer the following questions.**
**Analysis**
1. From previous work with Boris and Natasha, you know that their encoding and decoding functions are always linear and have 1 as the coefficient of x. Write the general form of the linear function that could be used to decode the message.
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