do you think that any other number system can be more powerful than Binary number system?

Answer 1

If you are talking digital electronics, computers inherently work in off/on signals... so they work in binary. That's it, full stop as the technology exists today.

So if you use any other numbering systems on a computer they are either translations into/from binary or approximate translations to/from binary. That means you use computer power to do the conversion, so they are less efficient. If that's your measure of powerful, then binary is the most powerful on digital electronics.

I don't know of any large scale digital computer systems that are not digital on/off ... analogue computers exist but they don't work in numbers as such, so there is no numbering system. I'm not saying that trinary (off/half/on) as postulated by Robert Heinlein or any other way of doing 'digital' computers can't be built... but they don't exist in numbers that are significant.

If you're talking fingers... humans have 10 fingers and worldwide almost everyone learns from birth to work in base 10 (denary). So for humans denary is the most powerful 'cos our heads are tuned to work that way by school. However, if you want to count big numbers, learning to use your fingers in binary is oh-so-efficient. You can count to (2 raised to the 10th power) -1 ... 1023 in decimal... but doing sums is a bit harder! Harder because it's more long winded, but each component sum is oh-so-easy.

There are remains of other counting bases in life... 16 ounces to a pound weight because it's easy to have 1/2 a pound, 1/4 of a pound, 1/8 of a pound... 20 fluid ounces in a (british) pint, 20 (old) shillings in a pound sterling... 12 inches in a yard, 12 (old) pennies in an (old) shilling... and so on.

Answer 2

binary seems to work for the universe pretty well
decimal seems to work pretty well for us (homo-sapien)
i think you might be on to something with binary being better

Answer 3

prefer Octal, and Hexadecimal

Hey, folks with 8 fingers? 8 toes...