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If you mean a number system analogous (similar) to our decimal system, the base for such a number system can be any integer, 2 or greater. In other words, the base can be 2, 3, 4, 5, etc. You need as many different digits as the size of the base (decimal is in base 10, so you need 10 different digits).
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Why do we call our number system a base-ten system?
Because each digit is ten times the one to the right of it.
What is base in number system?
For example, the decimal system we commonly use uses base ten. This means that each position (place-value) is worth ten times more than the position to the right of it. It also means that ten different digits are needed (0-9).
How many symbols exist in the base of a number?
The number of symbols in the base of a number is equal to the base. Thus if the base is 2, there are two symbols, if the base is 8, there are eight symbols, if the base is 10, then there are ten symbols, if the base is 16, then there are sixteen symbols. Note that in each case "0" is a symbol. Also the base itself is not in the set of symbols. Thus there is no symbol for "2" in the base 2 system, no symbol for "8" in the base 8 system and so on. In each case the base is represented by the combination of the primitive symbols that run from 0 through (base - 1). Thus two in the base 2 system is represented as 10, eight in the base 8 system is represented by 10, and so on.
What is the twenty-fifth number in a binary system?
With the first number being 1 (not zero), the 25th number is 11001 (base 2). This is 16 + 8 + 1 = 25 (in base ten). Each place value in the binary system is double the value to the right of it.
Why is your number system called a base-10 system?
Because the place value for each digit is ten times the place value of the digit to its right.
