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Alekssandra [29.7K]
3 years ago
15

(201)3 is equivalente to: (11)10; (10010)2; (11)16; (23)8

Mathematics
1 answer:
sashaice [31]3 years ago
7 0
(201)_3=2\cdot3^2+0\cdot3^1+1\cdot3^0=2\cdot9+0\cdot3+1\cdot1=18+1=\boxed{(19)_{10}}

Answers:

A) No

(11)_{10}\neq(19)_{10}

B) No

(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}}

C) No

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

D) Yes

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