can anyone help me to solve these question with some basic explanations, please?

Question

can anyone help me to solve these question with some basic explanations, please?

212 a. 212 b. 222 c. 232 d. 342 9 2 16 u 2 19. Convert the following decimal number directly to hexadecimal 243 a. 153 b. 315 16 c, F3 16 d. 3F 16 20. Subtract: 10001101 1110111 a. 111002 b. 110102 l I c. 101 102 d. 111013 Part II Show all work for full credit! 1. Define a finite-state automaton that accepts the set of all strings of 0's and l's such that the number of 1's in the string is divisible by 2 by making a diagram,

Explanation / Answer

19)

Lets take option a. 153

1*16^2 + 5*16^1 + 3*16^0 = 339 which isnt equal to 243

So, it not the answer. The same way we out the B option.

But in C option, F in hex is 24 in decimal

This is followed by 3

So, F3 is the right representation

C is the right answer

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