express the numbers eight, fifteen and seventeen in base 2. I have forgotten how to do the base 2 question.
Mathematics
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express the numbers eight, fifteen and seventeen in base 2. I have forgotten how to do the base 2 question.
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1. User Answers LammettHash
The quickest way for converting small numbers like this to binary would probably be to find the closest power of 2, then add/subtract intermediate powers of 2 as needed.
Converting 8 is immediate, since it's already a power of 2:
[tex]8=2^3\implies 8_{10}=1000_2[/tex]
Converting 15 and 17 is also pretty easy if you're familiar with the rules of arithmetic in binary.
[tex]15=161=2^42^0\implies 15_{10}=16_{10}1_{10}=10000_21_2=1111_2[/tex]
[tex]17=16+1=2^4+2^0\implies 17_{10}=10000_2+1_2=10001_2[/tex]