Convert $37$ to the base $10$ into binary

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Solution

Converting $37$ to the base $10$ into binary:
Given number is $37$ .
To convert a decimal number to binary, we divide it successively by $2$ & use the quotient obtained in this step as the dividend for the next step. Continue this process until the quotient becomes $0$ .
$37 \div 2 = 18$ , remainder is $1$
$18 \div 2 = 9$ , remainder is $0$
$9 \div 2 = 4$ , remainder is $1$
$4 \div 2 = 2$ , remainder is $0$
$2 \div 2 = 1$ , remainder is $0$
$1 \div 2 = 0$ , remainder is $1$
Now read from the bottom (MSB) to top (LSB) as $100101$ .
Hence, $37_{10} = 100101_{2}$

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