Questions: Convert +15 to One's Complement using an 8-bit system.

Convert +15 to One's Complement using an 8-bit system.
Transcript text: Convert +15 to One's Complement using an 8-bit system.
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Solution

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Solution Steps

To convert +15 to its One's Complement representation in an 8-bit system, we first need to convert the positive number to its binary form. Then, we invert all the bits to get the One's Complement.

Step 1: Convert +15 to Binary

To convert the decimal number \( +15 \) to binary in an 8-bit system, we represent it as follows: \[ 15_{10} = 00001111_2 \]

Step 2: Calculate One's Complement

To find the One's Complement, we invert each bit of the binary representation: \[ \text{One's Complement} = \text{invert}(00001111_2) = 11110000_2 \]

Final Answer

The One's Complement of \( +15 \) in an 8-bit system is \[ \boxed{11110000} \]

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