Decimal to Binary Conversion 125 = ___________________________.

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1011111

1110111

1111101

11110111

answer is C.

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Detailed Solution

$\begin{array}{l} 125 \div 2 = 62 r e m a i n d e r = 1 \\ 62 \div 2 = 31 r e m a i n d e r = 0 \\ 31 \div 2 = 15 r e m a i n d e r = 1 \\ 15 \div 2 = 7 r e m a i n d e r = 1 \\ 7 \div 2 = 3 r e m a i n d e r = 1 \\ 3 \div 2 = 1 r e m a i n d e r = 1 \\ 1 \div 2 = 0 r e m a i n d e r = 1 \\ 125 \Rightarrow 1111101 \end{array}$

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