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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?

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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: 14+15+20+5+2+15+15+11=97 14 + 15 + 20 + 5 + 2 + 15 + 15 + 11 = 97

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: 18+5+7+9+19+20+5+18=101 18 + 5 + 7 + 9 + 19 + 20 + 5 + 18 = 101

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.

This problem has been solved

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