Question

Convert 2038 to a numeral in base 3

Answer 1

`2210111_3`

Explanation:

Ternary is a base 3 number system. This essentially means that it only uses 3 digits to form its numbers:

2038/3 = 679 with remainder 1

679/3 = 226 with remainder 1

226/3 = 75 with remainder 1

75/3 = 25 with remainder 0

25/3 = 8 with remainder 1

8/3 = 2 with remainder 2

2/3 = 0 with remainder 2

Therefore:

`2038_(10)=2210111_3_{}`