Computers use base 2 because a transistor only has two states, on and off and these are best represented by a 0 and a 1. Transistors are the building blocks of a computer's ICs.
Computers and calculators utilize the base 2 because it is easier to program binary numbers (base 2) into the computer than decimal numbers (base 10).
we humans use the base 10 because it is easier and more comfortable for us than the base 2 used by computers and as such we require less memory in our brain to fathom the answer of a question and subsequently answer or compute them easily that base 2
The math for base 16 is easier and faster than the math for base 2.
Yes, Binary literally means 2 digits ( 0 and 1 ) - so 10011 (base 2) is equal to 19 (base 10) (Base 10 is what people use in everyday math; Base 2 is what computers use.)
Adding in base 2 is binary for computers. 10 = 2 because 10 means 1 of your base. The rules are no different.
Computers are based on a binary number system.
Some examples of a base (mathematics) include our counting system, which is base ten. Computers use binary, or base two.
I think people use the decimal system because we have 10 fingers and it's more intuitive that way. Computers use octal or hex because the base is a power of 2 (8=2^3, 16=2^4), and the computers work in binary, 0 or 1, 2 values.
10 Base 2
the importance of binary numbers in standard computing is basically everything. computers only understand base 2, that is a 0 (off) and a 1 (on). every piece of data passed through any part of the computer is done so using base 2 (binary). that said, there are theorised base 3 computers, called 'genetic computers' which use genes and magnetism to produce a base 3 process, but this was only done as a computer sciences project and is likely to not every be implemented in the mainstream.
Base on purposed, computers are either general purpose or special purpose. General purpose computers are meant for all manner of tasks while Special purpose computers are tailored for unique task.
A base, mathematically speaking, defines the digits which you use to count. Normally, we tend to use base ten - meaning that we have ten values (0-9); if we used base two instead (binary - this is what computers use) then only have two (0 or 1). An example of how numbers compare in different bases: Decimal (base 10): 147 Binary (base 2): 10010011 Octal (base 8): 223 Hexatridecimal (base 36): 43