Question

Write each of the following numerals in base 10. For base​ twelve, T and E represent the face values ten and​ eleven, respectively.

233five

11000two

43Etwelve

Answer 1

233 base five = 2 x 5^2 + 3 x 5 + 3 x 1 = 2 x 25 + 15 + 3 = 50 + 18 = 68 base 10

11000 base two = 1 x 2^4 + 1 x 2^3 = 16 + 8 = 24 base ten

43E base twelve = 4 x 12^2 + 3 x 12 + 11 x 1 = 4 x 144 + 36 + 11 = 576 + 47 = 623 base ten