Question

Give the following numberin Base 10.1215 = [ ? ]10

Answer 1

To convert a number in base five to base ten, we shall use the expanded notation with the place value of each of the base five numbers.

The procedure is shown below;

`\begin{gathered} 121_5 \\ \text{Assign place values starting from the right to the left} \\ \text{That is 0, 1 and 2.} \\ We\text{ now have}; \\ (1*5^2)+(2*5^1)+(1*5^0) \end{gathered}`

We can now simplify this as follows;

`\begin{gathered} (1*25)+(2*5)+(1*1) \\ =25+10+1 \\ =36 \end{gathered}`

ANSWER:

`121_5=36_(10)`