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  • 14-10-2017
  • Mathematics
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(201)3 is equivalente to: (11)10; (10010)2; (11)16; (23)8

2013 is equivalente to 1110 100102 1116 238 class=

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WojtekR
WojtekR WojtekR
  • 14-10-2017
[tex](201)_3=2\cdot3^2+0\cdot3^1+1\cdot3^0=2\cdot9+0\cdot3+1\cdot1=18+1=\boxed{(19)_{10}}[/tex]

Answers:

A) No

[tex](11)_{10}\neq(19)_{10}[/tex]

B) No

[tex](10010)_2=1\cdot2^4+0\cdot2^3+0\cdot2^2+1\cdot2^1+0\cdot2^0=16+0+0+2+0=\\\\=\boxed{(18)_{10}\neq(19)_{10}}[/tex]

C) No

[tex](11)_{16}=1\cdot16^1+1\cdot16^0=16+1=\boxed{(17)_{10}\neq(19)_{10}}[/tex]

D) Yes

[tex](23)_8=2\cdot8^1+3\cdot8^0=16+3=\boxed{(19)_{10}}[/tex]
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