JavaScript Fractional Binary to Fractional Decimal Converter

Last Updated: 2022-11-07 20:29:19

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.

Fractional Binary	Fractional Decimal
1110.011111	14.484375
1001011.1	75.50
101101.01	45.25
11110.11	30.75

 

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
4. Finally, find the summation of all products.

learn how to convert an integer decimal number into a binary number.

 

 

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--;
	}
}