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The digits in a base-4 number system are 0, 1, 2, and 3 .

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Q: What are the valid symbols in a base 4 number systems?
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What is a number system?

number systems use different bases. If a number only uses 5 symbols, then it is in base 5 The number system we use is base 10, because we have 10 symbols: 0123456789 so the number 1289 = 9x10^0 + 8x10^1+2x10^2+1x10^3 If it were in another base n, then converted to base ten abcd = dxn^0 + cxn^1+bxn^2+axn^3 A number system some may be familiar with is binary, which has a number base 2 since it only has 2 symbols, 1 and 0 In other number systems, the symbols can be different, such as in Babylonion, or other languages.


How many different symbols are used in the hexadecimal base 16 number system?

There are 16 symbols. The number of symbols is always the same as the base.


How many different symbols are used in the binary base 2 number system?

The number of different symbols is the same as the base. So the answer is 2 and the symbols are 0 and 1.


What is the lowest base in which the number 1000 could be a valid number?

base 2


What is the lowest base in which the number 100 could be a valid number?

base 2


What is the Base 60 Number System?

All number systems use a figure for some kind to stand for a number. The numerals 0,1,2,3,4,5,6,7,8,9 are the symbols for base 10, but base 2 uses only 0 and 1. Base 16 uses 0,1,2,3,4,5,6,7,8,9, A(for 10), B(for 11), C(for 12), D(for 13), E(for 14), and F(for 15) that makes 16 symbols to be considered as single digits for 16 numbers (0 thru 15). Each base must have that number of symbols for their individual numbers from 0 to one less than the base. Base 60 will need 60 such symbols, I've never seen them.


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 difference between Hindu-Arabic and Babylonian number systems?

Hindu-Arabic is our current number system while Babylonian numbers are an ancient number system which uses base 60 and uses only two symbols.


This is a number system which uses a base of 10 and the valid numbers are 0 to 9?

The number system that uses a base of 10 and the valid numbers are 0 to 9 is the decimal system.


What is the base of Hexadecimal number system and write its permissible symbols?

The base in a hexadecimal system is 16. The symbols are: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F


What is the lowest base in which the number 987 could be a valid number?

Base 10, unless you redefine the digits 7, 8 and 9.


How many symbols do the decimal numbering system use?

The decimal number system uses 10 different symbols to represent a number. The 10 different symbols are 0 to 9. It is a base 10 system unlike binary which is base 2 ( 0 and 1).