## Lecture 1 (12:00) IEEE-754 - 32 and 64 bit numbers - Float and double in java - Promotes interoperability among programming languages - 32 bit - Leftmost bit is a sign bit (0=+ve 1=-ve) - 8 bit exponent (127 bit unsigned binary number) - 23 bit mantissa _without_ the 1 infront of the binary point ### Scientific Notation 13.5 = 1101.1 = 1.1011x2 ^3 2.75 = 10110.11 = 1.011011x2 ^4 0.125 = 0.001 = 1x2 ^-3 13.5 in IEEE754 Standard = 0100000101011000000000000000000