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Consider the following DFA:
If all the numbers are divisible by n, then the value of n is
Correct answer is '3'. Can you explain this answer?
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Consider the following DFA:If all the numbers are divisible by n, then...
We want to check whether a given number is divisible by 3 or not. For 3, there must be three states in DFA and each state corresponds to the remainders 0, 1 and 2 and each state can have transitions 0 and 1. In the given diagram, 'q0' is the final state.
(a) When we are at state 0 and read 0, we remain at state 0.
(b) When we are at state 0 and read 1, we move to state 1; then the number so formed (1) in decimal gives remainder 1.
(c) When we are at state 1 and read 0, we move to state 2; then the number so formed (10) in decimal gives remainder 2.
(d) When we are at state 1 and read 1, we move to state 0; then the number so formed ( 11) in decimal gives remainder 0.
(e) When we are at state 2 and read 0, we move to state 1; then the number so formed (100) in decimal gives remainder 1.
(f) When we are at state 2 and read 1, we remain at state 2; then the number so formed (101) in decimal gives remainder 2.
The binary representation of 6 is 101, which is divisible by 3.
Thus, the given DFA can be used to represent all the numbers divisible by 3.
(a) When we are at state 0 and read 0, we remain at state 0.
(b) When we are at state 0 and read 1, we move to state 1; then the number so formed (1) in decimal gives remainder 1.
(c) When we are at state 1 and read 0, we move to state 2; then the number so formed (10) in decimal gives remainder 2.
(d) When we are at state 1 and read 1, we move to state 0; then the number so formed ( 11) in decimal gives remainder 0.
(e) When we are at state 2 and read 0, we move to state 1; then the number so formed (100) in decimal gives remainder 1.
(f) When we are at state 2 and read 1, we remain at state 2; then the number so formed (101) in decimal gives remainder 2.
The binary representation of 6 is 101, which is divisible by 3.
Thus, the given DFA can be used to represent all the numbers divisible by 3.
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Consider the following DFA:If all the numbers are divisible by n, then the value of n isCorrect answer is '3'. Can you explain this answer?
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Consider the following DFA:If all the numbers are divisible by n, then the value of n isCorrect answer is '3'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the following DFA:If all the numbers are divisible by n, then the value of n isCorrect answer is '3'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following DFA:If all the numbers are divisible by n, then the value of n isCorrect answer is '3'. Can you explain this answer?.
Consider the following DFA:If all the numbers are divisible by n, then the value of n isCorrect answer is '3'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the following DFA:If all the numbers are divisible by n, then the value of n isCorrect answer is '3'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following DFA:If all the numbers are divisible by n, then the value of n isCorrect answer is '3'. Can you explain this answer?.
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