Question

What is the range of the random function?

A) 2 to power 33 -1
B) 2 to power 35 -1
C) 2 to power 31 -1
D) 2 to power 32 -1

Answer 1

For a 32-bit system, the range would be 2 to the power of 32 - 1, making option D the correct answer. The correct answer is option D).

Step-by-step explanation:

This is typically related to random number generation in computers, where the randomness is produced by a pseudorandom function that has a finite range. For example, many computer systems use a random function that generates numbers in the range that corresponds to the largest integer value that can be represented in a given number of bits.

Now, considering the options provided A) 2 to the power of 33 -1 B) 2 to the power of 35 -1 C) 2 to the power of 31 -1 D) 2 to the power of 32 -1, the range of the random function referenced here is most likely based on a binary system that computers use.

In this system, the maximum value represented by n bits is 2 to the power of n - 1. For a 32-bit system, the highest integer that can be represented is 2 to the power of 32 - 1, which makes option D the correct answer.