Write each of the following in the indicated base.

Question

(a) 1021three to base ten.

(b) 534 to base twelve

(c) MCMLXII to base ten

Answer 1

a) 1021₃ = 1(3^3) + 0(3^2) +2(3) + 1
= 27+6+1
= 34

b) powers of 12 are 12, 144 , 1728 ,....
so 534 = 3(144) + 8(12) + 6
= 386₁₂

c) MCMLXII = 1000 + 900 + 50 + 12 = 1962