Number bases and operations

Question 1 of 10

101₂ = 5 (base ten).

Question 2 of 10

Evaluate 111₃ + 211₃, giving the answer in base 3.

Question 3 of 10

Evaluate 52₆ + 13₆, giving the answer in base 6.

Question 4 of 10

The place values in base 3 are

Question 5 of 10

Evaluate 220₃ + 121₃, giving the answer in base 3.

Question 6 of 10

The value of a digit depends on its place value in the base.

Question 7 of 10

Convert 12010₃ to base ten.

Question 8 of 10

If 22 in base x equals 16 in base ten, then x = ___.

Question 9 of 10

(a) Convert 1001 (base 6) to base ten, showing your working. (b) Convert your answer to base two. (c) Find the sum of the digits of the base two answer.

Question 10 of 10

Evaluate 112₆ + 105₆, giving the answer in base 6.