katerin4051 katerin4051

16-04-2018
Mathematics

contestada

Convert the decimal expansion of each of these integers to a binary expansion.
a.321
b.1023

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LammettHash LammettHash

16-04-2018

[tex]321=256+64+1=2^8+2^6+2^0\implies321_{10}=101000001_2[/tex]

[tex]1023=1024-1=2^{10}-2^0\implies1023_{10}=10000000000_2-1_2=1111111111_2[/tex]

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