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Home/ Questions/Q 175653
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Asked: May 11, 20262026-05-11T13:44:14+00:00 2026-05-11T13:44:14+00:00

I need to convert 0.5 in base 10 to base 2 (0.1). I have

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I need to convert 0.5 in base 10 to base 2 (0.1). I have tried using

Double.doubleToRawLongBits(0.5) 

and it returns 4602678819172646912 which I guess is in hex, but it does not make sense to me.

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  1. 2026-05-11T13:44:14+00:00Added an answer on May 11, 2026 at 1:44 pm

    Multiply you number by 2^n, convert to an BigInteger, convert to binary String, add a decimal point at position n (from right to left).

    Example (quick & ++dirty):

    private static String convert(double number) {     int n = 10;  // constant?     BigDecimal bd = new BigDecimal(number);     BigDecimal mult = new BigDecimal(2).pow(n);     bd = bd.multiply(mult);     BigInteger bi = bd.toBigInteger();     StringBuilder str = new StringBuilder(bi.toString(2));     while (str.length() < n+1) {  // +1 for leading zero         str.insert(0, '0');     }     str.insert(str.length()-n, '.');     return str.toString(); } 
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