In a binary system, what is the result of the operation '110 + 101'?

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Question: In a binary system, what is the result of the operation \'110 + 101\'?

Options:

Correct Answer: 1011

Solution:

\'110\' (6 in decimal) + \'101\' (5 in decimal) = \'1011\' (11 in decimal).

In a binary system, what is the result of the operation '110 + 101'?

In a binary system, what is the result of the operation '110 + 101'?

Step 1: Write down the two binary numbers you want to add: 110 and 101.
Step 2: Align the numbers by their rightmost digits:
110
+ 101
Step 3: Start adding from the rightmost column.
Step 4: In the rightmost column, add 0 + 1 = 1. Write down 1.
Step 5: Move to the next column to the left: 1 + 0 = 1. Write down 1.
Step 6: Move to the leftmost column: 1 + 1 = 10 in binary. Write down 0 and carry over 1.
Step 7: Since there are no more digits to add, write down the carry over 1 to the left.
Step 8: The final result is 1011.

Binary Addition – Understanding how to add binary numbers, including carrying over when the sum exceeds 1.
Decimal Conversion – Converting binary numbers to decimal to verify the correctness of the addition.