Decimal to Binary Conversion 512 = ___________________________.

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1000000000

1010101010

1001001000

1110001110

answer is A.

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Detailed Solution

$\begin{array}{l} 512 \div 2 = 256 r e m a i n d e r = 0 \\ 256 \div 2 = 128 r e m a i n d e r = 0 \\ 128 \div 2 = 64 r e m a i n d e r = 0 \\ 64 \div 2 = 32 r e m a i n d e r = 0 \\ 32 \div 2 = 16 r e m a i n d e r = 0 \\ 16 \div 2 = 8 r e m a i n d e r = 0 \\ 8 \div 2 = 4 r e m a i n d e r = 0 \\ 4 \div 2 = 2 r e m a i n d e r = 0 \\ 2 \div 2 = 1 r e m a i n d e r = 0 \\ 1 \div 2 = 0 r e m a i n d e r = 1 \\ 512 \Rightarrow 1000000000 \end{array}$

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