Binary Addition Explained: Rules and Examples for High School Students

📚 Quick Study Guide

• 🔢 Binary numbers use only two digits: 0 and 1.
• ➕ Addition rules:
  • $0 + 0 = 0$
  • $0 + 1 = 1$
  • $1 + 0 = 1$
  • $1 + 1 = 10$ (0 with a carry-over of 1)
• Carry-over: When the sum is 2 (10 in binary), write down 0 and carry-over 1 to the next column.
• 💡Start from the rightmost bit and move towards the left, just like decimal addition.

🧪 Practice Quiz

1. What is the result of $1 + 1$ in binary?
   1. 0
   2. 1
   3. 10
   4. 11
2. What is the result of $10 + 11$ in binary?
   1. 11
   2. 21
   3. 101
   4. 100
3. What is the result of $11 + 1$ in binary?
   1. 10
   2. 12
   3. 100
   4. 110
4. In binary addition, what do you do when you add $1 + 1$?
   1. Write down 1 and carry-over 0
   2. Write down 0 and carry-over 1
   3. Write down 1 and carry-over 1
   4. Write down 0 and carry-over 0
5. What is the binary equivalent of the decimal number 2?
   1. 01
   2. 10
   3. 11
   4. 001
6. What is the result of adding $101 + 110$ in binary?
   1. 211
   2. 1011
   3. 111
   4. 1001
7. What is the result of $111 + 1$ in binary?
   1. 112
   2. 1000
   3. 110
   4. 100