What is the result of adding the binary numbers 1011 and 1101?

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Question: What is the result of adding the binary numbers 1011 and 1101?

Options:

Correct Answer: 11110

Solution:

Adding 1011 and 1101 in binary results in 11110.

What is the result of adding the binary numbers 1011 and 1101?

What is the result of adding the binary numbers 1011 and 1101?

Step 1: Write the binary numbers one under the other, aligning them to the right: 1011 and 1101.
Step 2: Start adding from the rightmost column (the least significant bit).
Step 3: Add the rightmost bits: 1 + 1 = 10 in binary. Write down 0 and carry over 1.
Step 4: Move to the next column: 1 (from 1011) + 0 (from 1101) + 1 (carry) = 10 in binary. Write down 0 and carry over 1.
Step 5: Move to the next column: 0 (from 1011) + 1 (from 1101) + 1 (carry) = 10 in binary. Write down 0 and carry over 1.
Step 6: Move to the leftmost column: 1 (from 1011) + 1 (from 1101) + 1 (carry) = 11 in binary. Write down 1 and carry over 1.
Step 7: Since there are no more columns left, write down the carry over 1 to the left.
Step 8: The final result is 11110.

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