In a certain code language, “YEARLY” is written as “BVZIOB”. What will be the code for “ANNUAL” in the same language?
Question
In a certain code language,
“YEARLY” is written as “BVZIOB”.
What will be the code for “ANNUAL” in the same language?
Solution
To solve the problem of encoding "ANNUAL" based on the provided code for "YEARLY" as "BVZIOB", let's analyze how the letters are transformed.
Step 1: Analyze the Transformation
We will look at how each letter in "YEARLY" corresponds to the letters in "BVZIOB":
- Y → B
- E → V
- A → Z
- R → I
- L → O
- Y → B
Step 2: Determine the Shift
From the observations above, we notice the following transformations:
- The first letter 'Y' is shifted forward in the alphabet by 3 positions (Y to B wraps around).
- The second letter 'E' is shifted forward by 17 positions (E to V).
- The third letter 'A' is shifted backward 25 positions (A to Z).
- The fourth letter 'R' is shifted backward 9 positions (R to I).
- The fifth letter 'L' is shifted forward 3 positions (L to O).
- The sixth letter 'Y' repeats the transformation of the first letter (Y to B).
This transformation suggests a pattern of alternating shifts forward and backward with specific values.
Step 3: Apply the Transformation to "ANNUAL"
Following the identified pattern, we can now encode "ANNUAL":
- A (1) → Shift 3 → D (4)
- N (14) → Shift 17 → E (5)
- N (14) → Shift -25 → C (3)
- U (21) → Shift -9 → L (12)
- A (1) → Shift 3 → D (4)
- L (12) → Shift -25 → O (15)
Final Result
Thus, applying the transformations yields:
- A → D
- N → E
- N → C
- U → L
- A → D
- L → O
The code for "ANNUAL" in this language is "DECLDO".
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