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Bebras 2022 - Level 2 Question 12

BEBRAS · Bebras 2022 - Level 2

Question 12

Xavier the beaver wants to represent letters using 0s and 1s. He notices that T and E occur most often, so he uses fewer 0s and 1s for them, as shown in the table.

Question illustration

| Letter | T | E | A | K | C | R |
| --- | --- | --- | --- | --- | --- | --- |
| Code | 1 | 00 | 0010 | 0110 | 1010 | 1110 |

Xavier sends the following message:

1001001100010100010111000

Question illustration

How many letters are in Xavier’s message?
  1. 5
  2. 6
  3. 7
  4. 8