FLOATING POINT ADDITION AND SUBTRACTION

• FLOATING POINT ADDITION

To understand floating point addition, first we see addition of real numbers in decimal as same logic is applied in both cases.

For example, we have to add 1.1 * 103 and 50.

We cannot add these numbers directly. First, we need to align the exponent and then, we can add significant.

After aligning exponent, we get 50 = 0.05 * 103

Now adding significant, 0.05 + 1.1 = 1.15

So, finally we get (1.1 * 103 + 50) = 1.15 * 103

Here, notice that we shifted 50 and made it 0.05 to add these numbers.