What does extending to 16 bits yield given -5 in 8-bit 2's complement 11111011?
Question
What does extending to 16 bits yield given -5 in 8-bit 2's complement 11111011?
Solution
Extending -5 in 8-bit 2's complement (11111011) to 16 bits involves sign extension. This means that the sign bit (the leftmost bit in the 8-bit representation) is copied into all the additional bits.
The sign bit in this case is 1 (indicating a negative number), so when we extend this to 16 bits, we get 11111111 11111011.
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