   Chapter 8.2, Problem 45ES Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

Solutions

Chapter
Section Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

Decoding. Use a cyclical alphabetic encrypting code that shifts the letters the stated number of positions to decode the encrypted message.18 positions: SYW GX WFDAYZLWFEWFL

To determine

Decode the message by using a cyclical alphabetical encrypting code that shifts the message the stated number of positions:

18 positions: SYW GX WFDAYZLWFEWFL

Explanation

Given: 18 positions: SYW GX WFDAYZLWFEWFL

Formula Used:

If the decode code is given as follows

p=(c+n)mod26

Where p= numerical equivalent of the plaintext letter

c= numerical equivalent of the cipher text letter

Calculation:

The word in cipher text is given as

SYW GX WFDAYZLWFEWFL

Here n=2618=8

Encryption is carried as follows

S   p=(19+8)mod26=27mod26=1  Decode as A

Y   p=(25+8)mod26=33mod26=7  Decode as G

W   p=(23+8)mod26=31mod26=5  Decode as E

G   p=(7+8)mod26=15mod26=15  Decode as O

X   p=(24+8<

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