import static java.lang.System.out;
 
class Q2506277Converter {
 
private static strictfp float binary32ToDecimal( String s /* the significand */ ) {
 
      byte n = 1;          /* the 'n' in the sigma notation */
      byte p = 24;         /* the 'p' in the sigma notation */
      byte bitN = 0;       /* the 'bit_n' in the sigma notation */
      byte e = 1;          /* the 'e' in the sigma notation */
      float sum = 0.0f;    /* the summation in the sigma notation */
 
      for(; n <= p-1; n++ ){
         bitN = Byte.parseByte( s.substring( n, n+1 ) );
         sum += (float)(bitN * Math.pow(2, -n) ); /* the '2^-n' in the sigma notation */
      }
 
      return (1 + sum) * (float)Math.pow( 2, e ); /* the '2^1' in the sigma notation */
}
 
public static void main( String[] args ){
 
        /* IEEE 754 encoding significand */
        String significand = "110010010000111111011011";
 
        out.printf( "%.9f%n", binary32ToDecimal( significand ) );
    }
}

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