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theory of computation · automata · DFA

DFA for Binary Numbers Divisible by 3

النوع مخطط حالاتالمعيار OMG UML 2.5.1 §14 + Harel (1987) statechartالمحرّك schematex-stateآخر تحديث 27‏/5‏/2026
DFA for Binary Numbers Divisible by 3
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الطلب

“A DFA over {0, 1} that accepts binary numbers divisible by 3. States q0, q1 and q2 track the remainder; q0 is the start state and the accepting state.”

جرّب إذنChange it to divisible by 5Name the states by their remainder
ما الذي يتضمنه هذا الرسم

اقرأ القرارات الكامنة وراءه.

01

State represent remainder modulo 3 (0, 1, 2).

02Transitions

on 0, state = (state*2) % 3; on 1, state = (state*2+1) % 3.

03

Accepting state is q0 (remainder 0), indicated by a note.

When modeling finite state machines that accept regular languages based on numeric modulo properties.

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