Unique numbers

Number Theory Level 1

Convert 16500 to base 8.

40164 46104 40882 41641

Vishwathiga Jayasankar by vishwathiga jayasankar , 20, India

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1 solution

Pham Khanh
Apr 16, 2016

We have: 16500 = ( 4 ∗ 8 4 + 8 2 + 6 ∗ 8 + 4 ) 10 = ( 4 ∗ 1 0 4 + 0 ∗ 1 0 3 + 1 ∗ 1 0 2 + 6 ∗ 10 + 4 ) 8 = 4016 4 8 16500=(4*8^{4}+8^2+6*8+4)_{10}=(4*10^{4}+0*10^{3}+1*10^{2}+6*10+4)_{8}=40164_{8} so the answer is 40164 \boxed{40164}

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