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1 Design a DFA that accepts all strings w over {O, 1} such that w is the binary representation of a number that is a

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1 Design a DFA that accepts all strings w over {O, 1} such that w is the binary representation of a number that is a multiple of 5. Additionally, provide a 5-tuple describing the DFA. Hints: Think about the remainder when divided by 5. For example i. Binary number 1011 is equivalent to 11 in decimal is not accepted ii. Binary number 10110 is equivalent to 22 in decimal is not accepted i. Binary number 1111 is equivalent to 15 in decimal is accepted] 2 Design a DFA that accepts strings having an odd number of 1s and odd number of Os where alphabet is defined as 2 -10,1]. Additionally, provide a 5-tuple describing the DFA. [Hints: The string 0111000011 will be accepted by the DFA] 3 Design a DFA that accepts all binary strings that contain the substring 011. Additionally, provide a 5-tuple describing the DFA. Hints: The strings 011, 0110, 111011 will be accepted by the DFA]

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