radix

Which of the following is/are EQUAL to 224 in radix-5 (i.e., base-5) notation?

A particular number is written as 132 in radix-4 representation. The same number in radix-5 representation is ____________.

Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?

Consider the equation $${\left( {43} \right)_x} = {\left( {y3} \right)_8}$$ where $$x$$ and $$y$$ are unknown. The number of possible solutions is ______________

The base (or radix) of the number system such that the following equation holds is __________ $${{312} \over {20}} = 13.1$$

Consider the equation $${\left( {123} \right)_5} = {\left( {x8} \right)_y}$$ with $$x$$ and $$y$$ as unknown. The number of possible solutions is _________.

$${73_x}$$ (in base $$-$$ $$x$$ number system) is equal to $${54_y}$$ (in base $$-y$$ number system), the possible values of $$x$$ and $$y$$ are

Given $$\sqrt {\left( {224} \right),} = {\left( {13} \right)_r},$$ The value of the radix' $$r$$ is: