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Base 2 otherwise known as binary.

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Q: What is the number system that uses digits 0 and 1?
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What is a Number system that uses just two digits 0 and 1?

Binary


What number system uses the digits 0 9 and the symbols A F?

9


Which numbering system uses 2 digits?

A Binary Number is made up of only 0 and 1.


What is a number system which uses a base of 10 The valid digits are 0 to 9.?

It is the number system that we now use today and it is the Hindu-Arabic numeral system.


How many types of binary number system are there?

To the best of my knowledge (which is not completely inconsiderable), there is only one binary number system. That is the system in which each place is worth twice that of the preceding place, starting at 1. A 1 will count the place, a 0 will not. You may have meant how many number system are there 'like' the binary system, that is to say, how many number system are there which, like the binary system, do not use 10 digits. The answer to that is an infinite number. Binary is only special in that it uses the least possible number of digits. Our normal system (decimal) uses 10 digits (0-9). A number system can be made which uses any number of digits. The only three that I know of which are commonly used are the following. Decimal is our normal day to day number system with the digits 0-9. Binary is the number system used by computers and has only two digits, 0 and 1. Hexadecimal is a number system used by programs and has 16 digits, 0-f (that is, it uses 0-9 like normal, but continues by replacing "10" with "a", "11" with "b" and so on, up to "15" with "f"). To look into this more fully, they're called bases. Binary is base 2, decimal is base 10, and hexadecimal is base 16.