### A good answer might be:

Yes. 1 + 1 is always exactly 2, with integers.

# A Loop with an Integer Variable

Often a program uses an integer loop control variable which is used to compute a floating point `x` for every iteration of the loop:

```class LogTable
{
public static void main ( String[] args )
{
System.out.println( "x" + "\t ln(x)" );

for ( int j = 1; j <= 20; j++ )
{
double x = j/10.0 ;
System.out.println( x + "\t" + Math.log( x ) );
}
}
}
```

This is not without problems, but at least the errors in `x` are not accumulating. Here is the output:

```x        ln(x)
0.1     -2.3025850929940455
0.2     -1.6094379124341003
0.30000000000000004     -1.203972804325936
0.4     -0.916290731874155
0.5     -0.6931471805599453
0.6000000000000001      -0.5108256237659905
0.7000000000000001      -0.3566749439387323
0.8     -0.2231435513142097
0.9     -0.10536051565782628
1.0     0.0
1.1     0.09531017980432493
1.2000000000000002      0.1823215567939548
1.3     0.26236426446749106
1.4000000000000001      0.336472236621213
1.5     0.4054651081081644
1.6     0.47000362924573563
1.7000000000000002      0.5306282510621705
1.8     0.5877866649021191
1.9000000000000001      0.6418538861723948
2.0     0.6931471805599453
```

The new problem is that the result of dividing  `j` by 10.0 is not completely accuracy. However, dividing an integer by a power of two, is accurate (as long as the result is not too small).

### QUESTION 7:

Is 8 a power of two?