How is the decimal number 30 written as a base 4 number?

Answer 1

The powers of 4 relevant to this problem are 40 = 1, 41 = 4, 42 = 16......we only need to consider those values that are less than 30.

30 ÷ 16 = 1 remainder 14

14 ÷ 4 = 3 remainder 2

2 ÷ 1 = 2 remainder 0

Decimal 30 written to the base 4 is 132.