# JavaScript Fractional Binary to Fractional Decimal Converter

Last Updated: 2022-11-07 09:29:19 You may already know how to convert an integer Binary number into a Decimal number, but in this post, I will share with you how to convert a fractional Binary number into a fractional Decimal number.

Example of Fractional Binary to Fractional Decimal Number.

## Rules of converting binary fraction part into the decimal fractional part.

1. You need to calculate the fraction part separately.
2. You need to calculate from left to right
3. you need to find the negative power of the 2 Some example solutions of Fractional Binray to Fractional Decimal Numbers.

• (1110.011111)2 = (1 × 23) + (1 × 22) + (1 × 21) + (0 × 20) + (0 × 2-1) + (1 × 2-2) + (1 × 2-3) + (1 × 2-4) + (1 × 2-5) + (1 × 2-6) = (14.484375)10
• (1001011.1)2 = (1 × 26) + (0 × 25) + (0 × 24) + (1 × 23) + (0 × 22) + (1 × 21) + (1 × 20) + (1 × 2-1) = (75.5)10
• (101101.01)2 = (1 × 25) + (0 × 24) + (1 × 23) + (1 × 22) + (0 × 21) + (1 × 20) + (0 × 2-1) + (1 × 2-2) = (45.25)10
• (11110.11)2 = (1 × 24) + (1 × 23) + (1 × 22) + (1 × 21) + (0 × 20) + (1 × 2-1) + (1 × 2-2) = (30.75)10

## Javascript source code of Fractional Binary to Fractional Decimal Converter

``````Power = -1;
if (FractionPart != "") {
for (i = 0; i < FractionPart.length; i++) {
DecimalOfFractionPart += Number(FractionPart[i]) * Math.pow(2, Power);
Power--;
}
}``````
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