What does any base mean?
Our numbers are usually in base 10
so
$$\\5689(base 10) =5689_{10}= 5*10^3+6*10^2+8*10^1+9*10^0\\\\$$
With base 10 there are 10 digits.
0,1,2,3,4,5,6,7,8 and 9
--------------------------------------------------------------------------
NOW base 2 has only 2 digits 1 and 0 BINARY IS BASE 2
this number
$$\\100111_2 = (1*2^5)+(0*2^4)+(0*2^3)+(1*2^2)+(1*2^1)+(1*2^0)\\\\
100111_2 = 32+0+0+4+2+1\\\\
100111_2 = 39\;\;base\;10\\\\$$
I hope that helps but feel free to ask questions :)
What does any base mean?
Our numbers are usually in base 10
so
$$\\5689(base 10) =5689_{10}= 5*10^3+6*10^2+8*10^1+9*10^0\\\\$$
With base 10 there are 10 digits.
0,1,2,3,4,5,6,7,8 and 9
--------------------------------------------------------------------------
NOW base 2 has only 2 digits 1 and 0 BINARY IS BASE 2
this number
$$\\100111_2 = (1*2^5)+(0*2^4)+(0*2^3)+(1*2^2)+(1*2^1)+(1*2^0)\\\\
100111_2 = 32+0+0+4+2+1\\\\
100111_2 = 39\;\;base\;10\\\\$$
I hope that helps but feel free to ask questions :)