Math

QuestionEncrypt the word SCORE using a Caesar shift of 23 (A becomes X). What is the encrypted result?

Studdy Solution

STEP 1

Assumptions1. We are using an alphabetic Caesar shift cipher with a shift of23. . The word to be encrypted is "SCORE".
3. The Caesar shift cipher works by shifting the letters of the alphabet by a certain number of places. In this case, A maps to X, B maps to Y, C maps to Z, and so on.
4. The alphabet wraps around, so after Z comes A.

STEP 2

The first step is to write out the alphabet and the shifted alphabet for reference.
AlphabetABCDFGHIJKLMNOQRUVWXYZ\text{Alphabet} \quad A \, B \, C \, D \, \, F \, G \, H \, I \, J \, K \, L \, M \, N \, O \, \, Q \, R \, \, \, U \, V \, W \, X \, Y \, ZShifted AlphabetXYZABCDFGHIJKLMNOQRUVW\text{Shifted Alphabet} \quad X \, Y \, Z \, A \, B \, C \, D \, \, F \, G \, H \, I \, J \, K \, L \, M \, N \, O \, \, Q \, R \, \, \, U \, V \, W

STEP 3

Now, we can start encrypting the word "SCORE". The first letter is "". Looking at our shifted alphabet, we see that "" maps to "".

STEP 4

The second letter is "C". Looking at our shifted alphabet, we see that "C" maps to "Z".

STEP 5

The third letter is "". Looking at our shifted alphabet, we see that "" maps to "".

STEP 6

The fourth letter is "R". Looking at our shifted alphabet, we see that "R" maps to "".

STEP 7

The fifth letter is "". Looking at our shifted alphabet, we see that "" maps to "B".

STEP 8

Now, we can put all these letters together to get the encrypted word.
Encrypted WordZLOB\text{Encrypted Word} \quad \, Z \, L \, O \, BSo, the word "SCORE" encrypted using an alphabetic Caesar shift cipher with shift23 is "ZLOB".

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