Find the minimum of f(x) = 2x³-log (x) using genetic algorithm, where: - The range of x: [2...........15]. The population size:4. String length: 4 bits. Crossover type: 1-point crossover (Pe -100%). Mutation: Bitwise mutation (Pm-0.001). Selection method: Roulette Wheel selection. Initialization parents are:- 0110 1101 0100 1001

3. Analyze the following design based on different values of X and Y and determine whether it can store a bit of information. If yes, form the characteristic table and show each of the set, reset, store, and complement actions if available. Otherwise, explain the problem with the design. DD

8. Find out the decimal equivalent of 1011 if the given number is an/a a) Unsigned number b) Negative number using Signed magnitude c) Negative number using 1's complement d) Negative number using 2's complement Consider a 4-bit system including sign (1 bit represents sign and 3 bits represent magnitude) for representing signed numbers.

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