Given the definition of language L below, do each of the following: (1) state whether or not L ∈ REG and prove it, and (2) state whether or not L ∈ CFL and prove it. Define bin(s) as a function which takes a string s ∈ {0, 1}^∗ and returns its numeric value when s is interpreted as a binary number (with the most significant bit on the left). Let L = {b ∈ {0,1}^∗ | bin(b) is not a multiple of 4}. ***Last time when I posted this question, Someone gave me a flawed answer. So, please if you are not sure don't attempt.

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
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Given the definition of language L below, do each of the following: (1) state whether or not L ∈ REG and prove it, and (2) state whether or not L ∈ CFL and prove it.

Define bin(s) as a function which takes a string s ∈ {0, 1}^∗ and returns its numeric value when s is interpreted as a binary number (with the most significant bit on the left).

Let L = {b ∈ {0,1}^∗ | bin(b) is not a multiple of 4}.

***Last time when I posted this question, Someone gave me a flawed answer. So, please if you are not sure don't attempt.

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