How Computers Work
IEEE 754
the standard (float32 = 1/8/23, float64 = 1/11/52)
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Numbers for RealHow Computers WorkMore terms from this board
- epsilon compare|a-b| < tiny instead of ==
- floating pointbinary scientific notation (sign
- Infoverflowed-to-infinity
- mantissathe significant digits
- modular arithmeticclock/wheel wraparound
- NaN'not a number', ≠ itself
- overflowa result too big for the width, wraps around (mod 2^n)
- rounding errora value not exactly representable in binary (0.1)
- signedallows negatives
- the 2038 problem32-bit Unix time overflow
- two's complementnegate by flip-bits-then-+1; one adder does both; range -2^(n-1)..2^(n-1)-1
- unsignednon-negative, 0..2^n-1