What is the result of adding the binary numbers 101011 and 001110?

What is the result of adding the binary numbers 101011 and 001110?

• A. 111001
• B. 110101
• C. 101110
• D. 110111

Answer: (A)

To arrive at the result of adding the binary numbers 101011 and 001110, it is essential to understand how binary addition functions, which is similar to decimal addition but follows different rules based on the base-2 number system. When adding the two binary numbers, we align them just like in decimal addition. Starting from the rightmost bit, we add the corresponding bits and carry over any values as necessary: 1. **Rightmost Column:** - 1 (from 101011) + 0 (from 001110) = 1 2. **Next Column:** - 1 + 1 = 10 in binary, which means we write down 0 and carry over 1 to the next column. 3. **Next Column:** - 1 (from carry) + 0 + 1 = 10. Again, we write 0 and carry over 1. 4. **Next Column:** - 1 (from carry) + 1 + 1 = 11. We write down 1 and carry over 1. 5. **Next Column:** - 1 (from carry) + 0 + 0 = 1 (no

To arrive at the result of adding the binary numbers 101011 and 001110, it is essential to understand how binary addition functions, which is similar to decimal addition but follows different rules based on the base-2 number system.

When adding the two binary numbers, we align them just like in decimal addition. Starting from the rightmost bit, we add the corresponding bits and carry over any values as necessary:

1. Rightmost Column:

• 1 (from 101011) + 0 (from 001110) = 1

2. Next Column:

• 1 + 1 = 10 in binary, which means we write down 0 and carry over 1 to the next column.

3. Next Column:

• 1 (from carry) + 0 + 1 = 10. Again, we write 0 and carry over 1.

4. Next Column:

• 1 (from carry) + 1 + 1 = 11. We write down 1 and carry over 1.

5. Next Column:

• 1 (from carry) + 0 + 0 = 1 (no