Questions: Convert +15 to One's Complement using an 8-bit system.
Transcript text: Convert +15 to One's Complement using an 8-bit system.
Solution
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
\[
\boxed{11110000}
\]