Convert each of the following base ten numerals to a numeral in the indicated base

Question

a. 234 in base four

b. 1876 in base twelve

c. 303 in base three

Answer 1

a) 234 in base 4.

234/4=58 rem 2

58/4=14 rem 2

14/4=3 rem 2.

234₁₀=3222₄

b) 1876 in base 12.

1876/12=156 rem 4

156/12=13 rem 0

13/12=1 rem 1

1876₁₀=1104₁₂ 

c) 303 in base 3.

303/3=101 rem 0

101/3=33 rem 2

33/3=11 rem 0

11/3=3 rem 2

3/3=1 rem 0

303₁₀=102020₃