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The minimum number of states required to recognize an octal number divisible by 3 are/is ________?Select one:a. 3b. 2c. 5d. 4

Question

The minimum number of states required to recognize an octal number divisible by 3 are/is ________?

Select one:

  • a. 3
  • b. 2
  • c. 5
  • d. 4
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Solution

The minimum number of states required to recognize an octal number divisible by 3 is 3. So, the answer is a. 3.

Here's why:

  1. An octal number system has base 8 (digits from 0 to 7).

  2. A number is divisible by 3 if the sum of its digits is divisible by 3.

  3. Therefore, to recognize an octal number divisible by 3, we need to keep track of the remainder of the sum of the digits when divided by 3.

  4. The remainder can be 0, 1, or 2. Hence, we need 3 states to keep track of these remainders.

So, the minimum number of states required is 3.

This problem has been solved

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