Adding and Multiplying Floating-Point Numbers

Now that both the exponents match, we will add the significands:

  1  1     <-- Carry bits 
  0.01000
+ 0.11000
  _______
  1.00000

Finally, we need to normalize the resulting number and make it fit into the given floating-point format. We have $1.0$ with the exponent $10000$, but we need the significand to be of the form $0.1xxx\dots$, so we divide $1.0$ by $2$ (= shift to the right once) to get $0.1$, and, at the same time, increase the exponent $10000$ by $1$ (to keep the number balanced) and get $10001$. The result is:

+---+   +---+---+---+---+---+   +---+---+---+---+---+
| 0 |   | 1 | 0 | 0 | 0 | 1 |   | 1 | 0 | 0 | 0 | 0 | ---> What is this number in decimal?
+---+   +---+---+---+---+---+   +---+---+---+---+---+