Question

question 4
convert the following decimal number (base 10) to binary (base 2):
39₁₀ = (base 2)
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Explanation:

Step1: Divide by 2 and get remainders

$$\begin{align*} 39\div2&=19\quad\text{remainder}\ 1\\ 19\div2&=9\quad\text{remainder}\ 1\\ 9\div2&=4\quad\text{remainder}\ 1\\ 4\div2&=2\quad\text{remainder}\ 0\\ 2\div2&=1\quad\text{remainder}\ 0\\ 1\div2&=0\quad\text{remainder}\ 1 \end{align*}$$

Step2: Read remainders from bottom - to - top

Read the remainders obtained in reverse order (from the last division result to the first).

Answer:

$100111$