Pi expressed in Base 2 doesn't appear random

3.14159265359 in Base 10

=

11.001001000011111101101010100010001000

In base 2



Or simply



2 + 1 + 1/8 + 1/64 + 1/2,048 + 1/4,096 + 1/8,192



+ 1/16,384 + 1/32,768 + 1/65,536 + 1/262,144 +



1/524,288 + 1/2,097,152 + 1/8,388,608 + 1/33,554,432



+ 1/536,870,912 + 1/8,589,934,592



But the pattern isn't random



To right of the expression of the 3 in pi

It's

001 001

00001111

110 110

10 10

1000 1000 1000



That's just up to 3.14159265359 though

Problem is all calculators start rounding off after that much so it's difficult to get more precision



But I see a non-random pattern, agree?

I think though this may be no surprise because there's an infinite series that returns pi as a coefficient

Pi expressed in Base 2 doesn't appear random