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G4G0-1/Semester 1/Computer Systems Internals & Linux/Week 4/Week 4 Computer Systems Internals - Floating Point.md
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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