Question

Assume that we are storing real numbers in 19 bits, using one sign brt, a 6 bit exponent, and a 12 bit fraction. What is the machine epsilon, "8? Answer Check

Answer 1

The machine epsilon is
ε_mach = 2^{−(number of bits for mantissa) .}

^{Mantissa is the positive number or fraction coming after the decimal point. For a real number all are positive numbers.}

^{Hence considering the above mentioned points, machine epsilon is given by,}

ε_mach = 2⁻¹² , where 12 is the number of bits provide for fraction.