To convert other bases to base 10, follow the same method explained on how to convert base 2 to base 10.

In this lesson, you will learn the step-by-step method for converting other bases to base 10.

BONUS: A link to practice questions on number bases is included at the end of this lesson.

## Question on converting other bases to base 10

Let’s take an example:

Question:Convert 244

_{5}to a number in base 10

## STEP 1.

### Write out each digit in the given base

2

4

4

## STEP 2.

### Put a multiplication sign and the base in front of each digit

2 × 5

4 × 5

4 × 5

TAKE NOTE: (do NOT multiply yet)

## STEP 3.

### Starting with the last digit as ZERO, raise each base to the power of its position

2 × 5

^{2}4 × 5

^{1}4 × 5

^{0}

## STEP 4.

### Calculate the “power” first (according to BODMAS)

2 × 25

4 × 5

4 × 1 (Law of Indices)

## STEP 5.

### Then multiply next

2 × 25 = 50

4 × 5 = 20

4 × 1 = 4

## STEP 6.

### Add your answers together

50 + 20 + 4

= 74

FINAL ANSWER:244 (in base five)

=

74(in base ten)

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