Learn Digital Logic

How to Convert Decimal Into Other Systems with Precision

How to Convert from Decimal to Other Number Systems?

Whenever converting a number from decimal to any other number system,

  1. Convert the Whole Number Part.
    1. Divide the whole number by the target base.
    2. Record the remainder for each division.
    3. Repeat until the quotient becomes 0.
    4. Reverse the order of remainders to form the whole number portion of the result.
  2. Convert the Fractional Part.
    1. Multiply the fractional part by the target base.
    2. Take the whole number part of the product as the next digit in the result.
    3. Use the new fractional part for the next iteration.
    4. Repeat for the required number of precision digits.

What You’ll Learn in this Course?

In this section, we’ll walk through examples that demonstrate how to convert numbers from the decimal system (base 10) to:

Each example will follow a structured approach, starting with the whole number and then handling the fractional part, to show how decimal values are accurately represented in other bases.

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