number system

The number -6 can be represented as 1010 in 4-bit 2's complement representation. Which of the following is/are CORRECT 2's complement representation(s) of $-6$ ?

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

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

The representation of the value of a 16-bit unsigned integer X in hexadecimal number system is BCA9. The representation of the value of X in octal number system is

Find the smallest number $y$ such that $y \times 162$ is a perfect cube.

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

$${\left( {1217} \right)_8}$$ is equivalent to

The $$2's$$ complement representation of $${\left( { - 539} \right)_{10}}$$ in hexadecimal is

The number $$43$$ in $$2's$$ complement representation is