✅ Very good! 🎊 🟩🟩🟩🟩 🎯 Congratulations! You reached Level 1 by solving 3️⃣ questions correctly! 👏 Keep answering questions to level up again. 🚀 Next question: What is 1100₂ ÷ 10₂ in binary? A: 1000 remainder 11 B: 111 remainder 10 C: 110 remainder 0 D: 1001 remainder 1

to divide $1100_2$ by $10_2$ in binary, we perform binary long division.

Step 1: Set up the long division.

$$\begin{array}{r} 110_2 \\[-3pt] 10_2 \overline{\smash) 1100_2} \\[-3pt] \end{array}$$

Step 2: Divide the first part of the dividend ($11_2$) by the divisor ($10_2$).
$10_2$ goes into $11_2$ one time ($1_2$). Write $1_2$ in the quotient.
Multiply $1_2 \times 10_2 = 10_2$.
Subtract $10_2$ from $11_2$: $11_2 - 10_2 = 01_2$.

$$\begin{array}{r} 1\phantom{00_2} \\[-3pt] 10_2 \overline{\smash) 1100_2} \\[-3pt] \underline{-10\phantom{00_2}} \\[-3pt] 01\phantom{00_2} \\[-3pt] \end{array}$$

Step 3: Bring down the next digit ($0_2$) from the dividend. We now have $010_2$.
Divide $010_2$ (which is $10_2$) by $10_2$.
$10_2$ goes into $10_2$ one time ($1_2$). Write $1_2$ in the quotient.
Multiply $1_2 \times 10_2 = 10_2$.
Subtract $10_2$ from $10_2$: $10_2 - 10_2 = 00_2$.

$$\begin{array}{r} 11\phantom{0_2} \\[-3pt] 10_2 \overline{\smash) 1100_2} \\[-3pt] \underline{-10\phantom{00_2}} \\[-3pt] 010\phantom{0_2} \\[-3pt] \underline{-10\phantom{0_2}} \\[-3pt] 00\phantom{0_2} \\[-3pt] \end{array}$$

Step 4: Bring down the last digit ($0_2$) from the dividend. We now have $000_2$.
Divide $000_2$ by $10_2$.
$10_2$ goes into $000_2$ zero times ($0_2$). Write $0_2$ in the quotient.
Multiply $0_2 \times 10_2 = 00_2$.
Subtract $00_2$ from $00_2$: $00_2 - 00_2 = 00_2$.

$$\begin{array}{r} 110_2 \\[-3pt] 10_2 \overline{\smash) 1100_2} \\[-3pt] \underline{-10\phantom{00_2}} \\[-3pt] 010\phantom{0_2} \\[-3pt] \underline{-10\phantom{0_2}} \\[-3pt] 000_2 \\[-3pt] \underline{-00_2} \\[-3pt] 00_2 \\[-3pt] \end{array}$$

The quotient is $110_2$ and the remainder is $0_2$.

The final answer is $\text{C: } 110 \text{ remainder } 0$.