Mathematics For Computer Science - Converting a base 2 or base 16 number to base 10

Each digit in a number can be converted into its decimal (base 10) value using four steps as shown in the Worked examples that follow. Table shows how the digits are presented in table format. In computer science we start counting at 0. The first digit (on the right) is Digit 0 (D0). This is multiplied by its base to the power of 0 (base⁰) .(D1) is multiplied by its base to the power of 1 (base¹) . Digit 2 (D2) is multiplied by its base to the power of 2 (base²).

D4	D3	D2	D1	D0
x Base to the power of 4	x Base to the power of 3	x Base to the power of 2	x Base to the power of 1	x Base to the power of 0

Multiplying to the power of 2 means the number multiplied by itself, i.e. 4² =4x4 Multiplying to the power of 3 means the number multiplied by itself, i.e. 4³ = 4x4x4