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
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:
-
An octal number system has base 8 (digits from 0 to 7).
-
A number is divisible by 3 if the sum of its digits is divisible by 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.
-
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.
Similar Questions
When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A ?Options8142
What least digit should come in place of # in the 9 digit number 15549#325, for which the number is divisible by 3?Select one:a. 0b. 1c. 2d. Any of these
If xyz represents a three-digit number then xyzxyz is always divisible by:Options11 only7, 11 and 137 only11 and 13 only
If the number 42573 * is exactly divisible by 72, then the minimum value of * is:
If the 8-digit number is 789x 531y is divisible by 72, then the value of (5x — 3y) is?Options-1210
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.