Number bases and operations

Question 1 of 10

If 24 in base x equals 14 in base ten, then x = ___.

Question 2 of 10

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

Question 3 of 10

If 21 in base x equals 15 in base ten, then x = ___.

Question 4 of 10

Evaluate 14₇ + 35₇, giving the answer in base 7.

Question 5 of 10

If 32ₓ = 17 (base ten), find x.

Question 6 of 10

The base 8 number system uses the digits

Question 7 of 10

Evaluate 101100₂ + 110010₂, giving the answer in base 2.

Question 8 of 10

If 25 in base x equals 17 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

Convert 82 (base ten) to base 7.