Let's add the two binary numbers:

$0111_2 + 1110_2$

Step 1: Convert to Decimal

• $0111_2 = 0 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 = 4 + 2 + 1 = 7_{10}$
• $1110_2 = 1 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 0 \times 2^0 = 8 + 4 + 2 = 14_{10}$

Step 2: Add in Decimal

$7 + 14 = 21$

Step 3: Convert Back to Binary

• $21_{10} = 10101_2$

Thus,

$0111_2 + 1110_2 = 10101_2$

Would you like more details on binary addition?

Related Questions:

1. How do you perform binary subtraction?
2. What is the difference between binary and decimal number systems?
3. How do you convert a decimal number to binary?
4. What is the significance of binary numbers in computing?
5. How do you perform binary multiplication?

Tip: When adding binary numbers, remember that $1 + 1 = 10_2$ (carry 1 to the next column).