A number system has characters \( 0,1,2,3,4,5 \) only.
a) State the radix (base) of the number system.
b) Convert 5234 x with the radix X from part (a) into its decimal, binary, octal and hexadecimal equivalents.
c) What are the advantages of using different number base systems?
d) Solve the following giving your answers in decimals
[1]
[6]
[1]
i. \( \quad 12_{8}+12_{6} \)
ii. \( \quad \mathrm{A}_{16} \times 10_{2} \div 10_{10}-1010_{2} \)
[2]
[2]