# Weird Calculator

Lynn has a calculator with only two buttons that perform $$\boxed{+1}$$ and $$\boxed{\div 2}$$.

She also has a screen with $$9$$ significant figures, and it displays $$0$$ when she gets the calculator.

If she wants to display $$\pi$$ up to the eighth decimal $$(3.14159265)$$, what is the fewest number of taps she needs to do?

Hint: The first 64 bits of $$\pi$$ in binary are given below:

$$\pi \approx$$11.00100100001111110110101010001000100001011010001100001000110100$$_2$$

Note: You may want to use the code environment below.

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