Design a finite automata from regular expression 10(0+11)0*1
1 answer:
<h3>What is a Finite automata?</h3>
A finite state machine (FSM) or finite state automaton (FSA), or simply a state machine, is a mathematical model of computation. It is an abstract machine that can be in exactly one of a finite number of states at any given time. The FSM may change from one state to another in response to some input; the change from one state to another is called a transition. An FSM is defined by a list of its states, its initial state, and the inputs that trigger each transition. Finite-state machines are of two types - deterministic finite-state machines and non-deterministic finite-state machines. A deterministic finite-state machine can be constructed equivalent to any non-deterministic machine.
With that being said, the DFA is equivalent to the expression 10(0+11)0*1 The expression that you've specified requires at least three 1 to be accepted. Breaking it down into parts.
<h3>Writting the automata:</h3><em>S0: 1 => S1 ; 1 </em>
<em>S0: 0 => error ; 0 </em>
<em>S1: 0 => S1 ; 10+ </em>
<em>S1: 0 => S2 ; 10(0 </em>
<em>S2: 0 => S2 </em>
<em>S2: 1 => S3 </em>
<em>S3: 1 => S4 </em>
<em>S4: 0 => S4 </em>
<em>S4: 1 => S5 </em>
<em>S5: 1 => S6 (final state) </em>
See more about automata at brainly.com/question/14937298
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Answer:
Explanation:
The Hexa-decimal numbers have base 16 and includes numbers:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F
The given steps are performed to convert a decimal number to hexa-decimal number, here to convert decimal number 35 to hexa-decimal number:
- Divide 35 by 16
- Note the remainder, r which is 3 here and quotient which is 2
- Again divide 2 (quotient) by 16 and note the remainder, r' which is 2 and quotient is 0
- We will stop here as the quotient is now 0. Usually division by 16 is repeated until we get quotient = 0
- Now arrange the remainder in reverse order to get the hexa-decimal number as r'r
- The hexa-decimal number is