Binary!

Number Theory Level 1

What is 9282 9282 (base 10 10 ) in base 2 2 ?


The answer is 10010001000010.

Micah Gadbois by Micah Gadbois , 15, USA

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1 solution

William Allen
Apr 18, 2019

9282 = 8192 + 1024 + 64 + 2 = 2 13 + 2 10 + 2 6 + 2 1 9282=8192+1024+64+2=2^{13}+2^{10}+2^{6}+2^{1} Or 1000000000000 0 2 + 1000000000 0 2 + 100000 0 2 + 1 0 2 = 1001000100001 0 2 10000000000000_{2}+10000000000_{2}+1000000_{2}+10_{2}=\boxed{10010001000010_{2}}

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