Let \( x=11111010 \) and \( y=00001010 \) be two 8 -bit 2 's complement numbers.
Their product in 2's complement notation is
To find the product of \( x = 11111010 \) and \( y = 00001010 \) in 8-bit 2's complement:
\[\]
1. Convert to decimal:
\( x = 11111010 \) is \(-6\) (2's complement of \( 00000110 \)).
\( y = 00001010 \) is \( 10 \).
\[\]
2. Multiply:
\(
6 \times 10 = -60
\)
3. Convert \(-60\) to 8-bit 2's complement:
Binary of \( 60 \): \( 00111100 \).
2's complement of \( 00111100 \): \( 11000100 \).
\[\]
Final Answer:
\[
\boxed{11000100}
\]
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