In a certain code language, ‘NOTEBOOK’ is coded as 97. How will ‘REGISTER’ be written in that code?
Question
In a certain code language, ‘NOTEBOOK’ is coded as 97. How will ‘REGISTER’ be written in that code?
Solution
To solve the problem, let's break it down step by step.
1. ### Break Down the Problem
We need to determine how the word "NOTEBOOK" is transformed into the number 97 and then apply the same method to the word "REGISTER".
2. ### Relevant Concepts
A common approach in coding words into numbers is to use the alphabetical order of each letter. For instance, A=1, B=2, ..., Z=26.
3. ### Analysis and Detail
First, we analyze "NOTEBOOK":
- N = 14
- O = 15
- T = 20
- E = 5
- B = 2
- O = 15
- O = 15
- K = 11
Now, summing those values:
This confirms that the code for "NOTEBOOK" is the sum of the positions of its letters.
Now we apply the same logic to "REGISTER":
- R = 18
- E = 5
- G = 7
- I = 9
- S = 19
- T = 20
- E = 5
- R = 18
Now, summing the values:
4. ### Verify and Summarize
The calculation for "REGISTER" gives us 101. Now let's verify the calculations:
- 18 + 5 = 23
- 23 + 7 = 30
- 30 + 9 = 39
- 39 + 19 = 58
- 58 + 20 = 78
- 78 + 5 = 83
- 83 + 18 = 101
The total is confirmed as 101.
Final Answer
Therefore, "REGISTER" will be written as 101 in that code.
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