Draw a DFA that accepts the following language over the alphabet {0,1}: the set of all strings such that the number of Os in the string is divisible by 2 and the number of 1s in the string is divisible by 5. Your DFA must handle all input strings in {0,1}*. Here is the best way to approach this problem: 1. Figure out all the final states and label them with the substring that causes the acceptance. Draw them in a line or column in alphanumeric order. 2. Draw the DFA working your way backwards from these final states to the starting state, labelling each intermediate state with the component of the substring recognized so far. This labelling is important in order to not get confused and to be able to work out step 3! 3. Complete the DFA with the missing transitions and states.

Draw a DFA that accepts the following language over the alphabet {0,1}: the set of all strings such that the number of Os in the string is divisible by 2 and the number of 1s in the string is divisible by 5. Your DFA must handle all input strings in {0,1}*. Here is the best way to approach this problem: 1. Figure out all the final states and label them with the substring that causes the acceptance. Draw them in a line or column in alphanumeric order. 2. Draw the DFA working your way backwards from these final states to the starting state, labelling each intermediate state with the component of the substring recognized so far. This labelling is important in order to not get confused and to be able to work out step 3! 3. Complete the DFA with the missing transitions and states.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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