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Not sure about pre-algebra but0 = 000 1 = 001 2 = 002 3 = 003

4 = 010 5 = 011 6 = 012 7 = 013

8 = 020 9 = 021 10 = 022 11 = 023

12 = 030 13 = 031 14 = 032 15 = 033

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Q: What are the first sixteen numbers in base 4 in prealgebra?
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Is it true hexadecimal numbers operate on a base- 10 number system?

It is only true in the sense that any numeric base, expressed in that base, is represented with the symbol "10". Confusing? Let's clarify that. Hexadecimal numbers use sixteen as the base. But how do you express the value sixteen in hexadecimal? Quite easy, it would be written as "10". The same is true in any other base. For example, in binary (base two), the value two is expressed as "10". In octal (base eight), the value eight is expressed as "10". In decimal (our familiar base ten), the value ten is expressed as "10". No matter what base you work in, the base itself will always be expressed as "10". That however is not the same thing as saying that hexadecimal numbers are based on the number ten. That is incorrect. Hexadecimal numbers use the base sixteen.


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