Adding and Multiplying Floating-Point Numbers

If you want to add two floating-point numbers, say:

   +---+   +---+---+---+---+---+   +---+---+---+---+---+
1) | 0 |   | 0 | 1 | 1 | 1 | 1 |   | 1 | 0 | 0 | 0 | 0 |   and
   +---+   +---+---+---+---+---+   +---+---+---+---+---+

   +---+   +---+---+---+---+---+   +---+---+---+---+---+
2) | 0 |   | 1 | 0 | 0 | 0 | 0 |   | 1 | 1 | 0 | 0 | 0 |
   +---+   +---+---+---+---+---+   +---+---+---+---+---+

you will first shift one of them such that its exponent becomes the same as the other number's exponent. In this case, you will take the 1st number and shift the $1$ of its significand $10000$ to the right and increase the exponent by $1$ to get:

   +---+   +---+---+---+---+---+   +---+---+---+---+---+
1) | 0 |   | 1 | 0 | 0 | 0 | 0 |   | 0 | 1 | 0 | 0 | 0 |
   +---+   +---+---+---+---+---+   +---+---+---+---+---+