The 8-bit pattern 11111111β can be grouped into two nibbles: 1111β and 1111β. Each nibble corresponds to the hex digit F (decimal 15). Combining them gives FFββ. Therefore, 11111111β maps to FFββ.
Option A:
Option A correctly uses nibble-to-hex mapping: 1111β = F, so 11111111β = FFββ.
Option B:
Option B, FEββ, would correspond to 11111110β and thus to decimal 254, one less than the maximum.
Option C:
Option C, F0ββ, corresponds to 11110000β, which is decimal 240 and not the full 8-bit maximum.
Option D:
Option D, 0Fββ, corresponds to 00001111β, a value much smaller than 11111111β.
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