Is bit-shifting mathematically meaningful?

I mean in the sense that it can be related to the real world somehow. For example, 80/2 can be represented by a baker making eighty pies, and Lex Luthor stealing half of them. From the real world to math, I can measure the velocity of an object over time, graph that, say the equation *f*(x) represents the line of that graph, then calculate the integral of *f*(x) and say it represents the acceleration of the original object over time.

Bit-shifting, however... to express a number in binary, then 'move' the bits like so:

00100000 >> 2 = 00001000

I don't know how that can be related to the real world. Is this something that only has meaning in symbolic logic?

IT'S LIKE DIVIDING/MULTIPLYING BY POWERS OF 2

yeah really, uh, its directly analogous to shifting digits in base 10, unless you would have something where 10010001 goes to 11001000  where the 1 on the right in the first one went to the left of the second one.

you could rotate a labeled n-gon corresponding to the n-bit if thats the case.

digit shifting is like multiplying by the radix of the number.

>>4
except for the rotation case

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