Convert it! (Problem 2)

Number Theory Level 2

What is the number 110 0 2 1100_2 (in base 2) when converted to base 10?


The answer is 12.

B D by B D , 16, Bulgaria

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2 solutions

B D
Mar 20, 2020

Relevant wiki Binary numbers

1100 1100 in Base 2 converted to Base 10 is 12 \boxed{12} .

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Chew-Seong Cheong
Mar 22, 2020

110 0 2 = ( 2 3 + 2 2 ) 10 = ( 8 + 4 ) 10 = 12 10 1100_2 = (2^3 + 2^2)_{10} = (8+4)_{10} = \boxed{12}_{10}

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