Fixed point representation
Number representation with fixed decimal point position dividing integer and fractional parts. Fixed point provides predictable precision without floating-point overhead. Limited range compared to floating point.
Formula
Fractional bit values: 2^(−1) = 0.5, 2^(−2) = 0.25, 2^(−3) = 0.125
Real World
Nintendo used fixed-point arithmetic in the Super Nintendo's graphics hardware because it was faster and cheaper than floating point, allowing smooth sprite scaling in games like Super Mario World.
Exam Focus
Clearly label which bits are integer and which are fractional; state the precision limitation — not all decimal fractions convert exactly.
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