Double Precision

64 binary bits per floating-point number: 52-bit significand and 11 bit exponent.

\[ \epsilon_{mach} = 2^{-52} \approx 2.2 \times 10^{-16} \]

• roughly gives about 16 decimal digits (not places)
• limits range of exponent between -1022 and 1023
• Values greater than \(2 \times 10^{308}\) result in overflow and an Inf
• underflow results in a 0
• NaN result of undefined arithmetic operations

Relative julia functions: sign(), exponent(), significand(), bitstring()

julia doesn’t allow indexing by type float; when force coercian of noninteger floats to integers, get an InexactValue error.