How To Convert Base 2 To Other Bases

To convert base 2 to other base, you have to convert base 2 to base 10 and from that base 10 to the required base.

In this lesson, you will learn the two-step method for converting base 2 to other bases.

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

Question on converting base 2 to other base

Let’s take an example:

Question:

Convert 10010102 to a number in base 5

STEP 1.

Convert the number from base 2 to base 10

The number in the question above is in base 2, so for our first step, convert it from that base 2 to base 10.

Use the step-by-step method explained on how to convert base 2 to base 10 for this first step.

Converted:

10010102

= 7410

STEP 2.

Convert the new number in base 10 to the required base

Our new number from the first step above is in base 10, so for our second step, convert it from that base 10 to the required base 5.

Use the step-by-step method explained on how to convert base 10 to other base for this second step.

Converted:

7410

= 2445

FINAL ANSWER:

1001010 (in base two)

= 244 (in base five)

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Otherwise,

Click the button to practice questions on number base.

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