Eliud's Eggs

Your friend Eliud inherited a farm from her grandma Tigist. Her granny was an inventor and had a tendency to build things in an overly complicated manner. The chicken coop has a digital display showing an encoded number representing the positions of all eggs that could be picked up.

Eliud is asking you to write a program that shows the actual number of eggs in the coop.

The position information encoding is calculated as follows:

1. Scan the potential egg-laying spots and mark down a 1 for an existing egg or a 0 for an empty spot.
2. Convert the number from binary to decimal.
3. Show the result on the display.

Example 1

 _ _ _ _ _ _ _
|E| |E|E| | |E|

Resulting Binary

 _ _ _ _ _ _ _
|1|0|1|1|0|0|1|

Decimal number on the display

89

Actual eggs in the coop

4

Example 2

 _ _ _ _ _ _ _
| | | |E| | | |

Resulting Binary

 _ _ _ _ _ _ _
|0|0|0|1|0|0|0|

Decimal number on the display

16

Actual eggs in the coop

1