when using bits to represent fractions of a number, can you create all possible fractions?

When using bits to represent fractions of a number, it is not possible to create all possible fractions. This limitation arises because bits represent numbers in binary, which uses powers of two, and with a finite number of bits, only fractions that can be expressed as sums of powers of two can be precisely represented. Many fractions, especially those that are not binary fractions or require repeating or non-terminating binary expansions (e.g., 1/3, 1/10), cannot be exactly represented with a finite number of bits. Hence, only a subset of all possible fractions can be represented, depending on the number of bits and the binary system used.