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

Question

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

a. 142five

b. 11011two

c. 39Ttwelth

Answer 1

142 in base 5 means 1(5²) + 4(5¹) + 2(5⁰) = 25 + 20 + 2 = 47

11011 in base 2 means 1(2⁴) + 1(2³) + 0(2²) + 1(2¹) + 1(2⁰) = 27

39T in base 12 means 3(12²) + 9(12¹) + 10(12⁰) = 550