How to Convert Other Systems Into Decimal with Precision

How to Convert Numbers from Any Other Base to Decimal?

Whenever converting a number from any other base to decimal,

Identify the Base of the Number to be Converted to Decimal.
Split the Number into Whole and Fractional Part.
1. The part before the point is the whole number part.
2. The part after the point is the fractional part.
3. If there’s no point, just treat it as a whole number.
Convert the Whole Number Part.
1. Assign index 0 to the rightmost digit, then increase the index as you move left.
2. For each digit:
  1. Multiply the digit by the base raised to the power of its index.
  2. Add the result to a running total.
Convert the Fractional Part.
1. Assign index -1 to the leftmost digit, then decrease the index as you move right.
2. For each digit:
  1. Multiply the digit by the base raised to the power of its index.
  2. Add the result to a running total.
Combine the Results.
1. The total from the whole part and the total from the fractional part give you the final decimal value.

What You’ll Learn in this Course?

In this section, we’ll walk through examples that demonstrate how to convert numbers from any other base, more specifically, from:

to the decimal number system.

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

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