For each of the languages below, draw a transition diagram for a DFA which accepts that language. (a) Strings over Σ = {a, b, c} which begin with the character a and end with the character c. (b) Strings over Σ = {a, b} in which the characters a and b always alternate. For example, strings ababa, bab, and a are in this language. (c) Strings over Σ = {a, b} which end with either aa or bb. (d) Strings over Σ = {0, 1, 2}, such that the sum of all digits in the string is divisible by 4. For example, the string 02101 is in the language because 0 + 2 + 1 + 0 + 1 = 4, which is divisible by 4; but 1212 is not, because 1 + 2 + 1 + 2 = 6 is not divisible by 4.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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For each of the languages below, draw a transition diagram for a DFA which accepts that
language.
(a) Strings over Σ = {a, b, c} which begin with the character a and end with the character c.
(b) Strings over Σ = {a, b} in which the characters a and b always alternate. For example, strings
ababa, bab, and a are in this language.
(c) Strings over Σ = {a, b} which end with either aa or bb.
(d) Strings over Σ = {0, 1, 2}, such that the sum of all digits in the string is divisible by 4.
For example, the string 02101 is in the language because 0 + 2 + 1 + 0 + 1 = 4, which is divisible by 4;
but 1212 is not, because 1 + 2 + 1 + 2 = 6 is not divisible by 4.

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