In binary, the addition works similarly to decimal addition. The binary number "1" represents the decimal number "1".
Let's perform the addition step by step:
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Start with the first two 1s:
- \( 1 + 1 = 10 \) (which is 2 in decimal, where "0" is the sum and "1" is carried over)
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Now add the result (10) to the next 1:
- \( 10 + 1 = 11 \) (which is 3 in decimal)
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Add the next 1:
- \( 11 + 1 = 100 \) (which is 4 in decimal)
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Finally, add the last 1:
- \( 100 + 1 = 101 \) (which is 5 in decimal)
So, the result of adding 1 + 1 + 1 + 1 + 1 in binary is \( 101 \).