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. 100001
• B. 111001
• C. 110101
• D. 110111

Answer: (B)

To find the result of adding the binary numbers 101011 and 001110, you align the numbers as you would in decimal addition, starting from the least significant bit (rightmost side) and moving to the left, carrying over any values as necessary. When you perform the addition: 1. Starting from the right: - 1 + 0 = 1 2. Next column to the left: - 1 + 1 = 0, carry over 1 3. Next column to the left: - 1 + 1 + 1 (the carry) = 1, carry over 1 4. Next column to the left: - 0 + 1 + 1 (the carry) = 0, carry over 1 5. Next column to the left: - 1 + 0 + 1 (the carry) = 0, carry over 1 6. Last column (leftmost): - 1 + 0 + 1 (the carry) = 1 Putting it all together, from left to right, you get: Carried value: 1 Final result: 1 1 1 0

To find the result of adding the binary numbers 101011 and 001110, you align the numbers as you would in decimal addition, starting from the least significant bit (rightmost side) and moving to the left, carrying over any values as necessary.

When you perform the addition:

1. Starting from the right:

• 1 + 0 = 1

2. Next column to the left:

• 1 + 1 = 0, carry over 1

3. Next column to the left:

• 1 + 1 + 1 (the carry) = 1, carry over 1

4. Next column to the left:

• 0 + 1 + 1 (the carry) = 0, carry over 1

5. Next column to the left:

• 1 + 0 + 1 (the carry) = 0, carry over 1

6. Last column (leftmost):

• 1 + 0 + 1 (the carry) = 1

Putting it all together, from left to right, you get:

Carried value: 1

Final result: 1 1 1 0