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Can "one third" be represented accurately in decimal?


No. Its representation continues indefinitely: 0.3333333....

The problem with "one tenth" is not a special flaw of binary. With all bases there are fractions that cannot be represented exactly.

Dangerous Code

Here is a program fragment in Java. (It could also be in C or C++). Is there something in this program that you should worry about?

float x;

for ( x = 0.0; x != 10.0; x += 0.1 )
  System.out.println("Crimson and Clover");


How many times will "Crimson and Clover" be printed?