Constructing BigDecimal

The code is :

public void testDoubleToBigDecimalViaString(){
  
  double d = 0.1;
  double e = 0.11;
  double f = e - d;
//  MathContext mc1 = MathContext.DECIMAL32;
//  MathContext mc2 = MathContext.UNLIMITED;
  MathContext mc1 = new MathContext(7);
  MathContext mc2 = new MathContext(34);
  
  BigDecimal bd1 = new BigDecimal(d);
  BigDecimal bd2 = new BigDecimal(String.valueOf(d));
  
  System.out.println("bd1 = " + bd1.toString());
  System.out.println("bd2 = " + bd2.toString());

  BigDecimal bd9 = new BigDecimal(d, mc1);
  BigDecimal bd10 = new BigDecimal(String.valueOf(d), mc1);
  
  System.out.println("bd9 = " + bd9.toString());
  System.out.println("bd10 = " + bd10.toString());

  BigDecimal bd11 = new BigDecimal(d, mc2);
  BigDecimal bd12 = new BigDecimal(String.valueOf(d), mc2);
  
  System.out.println("bd11 = " + bd11.toString());
  System.out.println("bd12 = " + bd12.toString());
  
  
  
  BigDecimal bd3 = new BigDecimal(f);
  BigDecimal bd4 = new BigDecimal(String.valueOf(f));
  
  System.out.println("bd3 = " + bd3.toString());
  System.out.println("bd4 = " + bd4.toString());

  BigDecimal bd5 = new BigDecimal(f, mc1);
  BigDecimal bd6 = new BigDecimal(String.valueOf(f), mc1);
  
  System.out.println("bd5 = " + bd5.toString());
  System.out.println("bd6 = " + bd6.toString());

  BigDecimal bd7 = new BigDecimal(f, mc2);
  BigDecimal bd8 = new BigDecimal(String.valueOf(f), mc2);
  
  System.out.println("bd7 = " + bd7.toString());
  System.out.println("bd8 = " + bd8.toString());
}

The result with Sun JDK 1.6 is :

bd1 = 0.1000000000000000055511151231257827021181583404541015625
bd2 = 0.1
bd9 = 0.1000000
bd10 = 0.1
bd11 = 0.1000000000000000055511151231257827
bd12 = 0.1
bd3 = 0.00999999999999999500399638918679556809365749359130859375
bd4 = 0.009999999999999995
bd5 = 0.01000000
bd6 = 0.01000000
bd7 = 0.009999999999999995003996389186795568
bd8 = 0.009999999999999995