What is the sum of the numbers '101' and '110' in binary?

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Question: What is the sum of the numbers \'101\' and \'110\' in binary?

Options:

Correct Answer: 1011

Solution:

In binary, \'101\' + \'110\' = \'1011\'.

What is the sum of the numbers '101' and '110' in binary?

What is the sum of the numbers '101' and '110' in binary?

Step 1: Write down the two binary numbers you want to add: '101' and '110'.
Step 2: Align the numbers by their rightmost digits, like this:
101
+ 110
Step 3: Start adding from the rightmost column.
Step 4: In the rightmost column, add 1 (from '101') and 0 (from '110'). This equals 1.
Step 5: Move to the next column to the left. Add 0 (from '101') and 1 (from '110'). This equals 1.
Step 6: Move to the next column to the left. Add 1 (from '101') and 1 (from '110'). This equals 2 in decimal, which is '10' in binary.
Step 7: Write down the 0 in this column and carry over the 1 to the next column.
Step 8: Since there are no more digits to add, just write down the carried over 1.
Step 9: Combine all the results: the final answer is '1011'.

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