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21-09-2019
Mathematics

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Convert the given base ten numeral to the indicated base. 4090 to base two

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LammettHash LammettHash

21-09-2019

Notice that 2^12 = 4096 = 4090 + 6. So you can find the base 2 representation of 4090 by subtracting 6 (in base 2) from 4096.

[tex]4096_{10}=1\,0000\,0000\,0000_2[/tex]

[tex]6_{10}=110_2[/tex]

[tex]\implies4090_{10}=1111\,1111\,1010_2[/tex]

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