4.5.4 Binary Number system

4.5.4 Binary Number system

1. Unsigned Binary

   • Unsigned binary to Decimal converstion
   • Decimal to Unsigned binary conversion
   • Minimum & Maximum values
   • Addition
   • Multiplication

2. Signed Binary

   • 2's complement coding scheme
   • Signed binary to Decimal conversion
   • Decimal to signed binary conversion
   • -ve and +ve integer in 2's complement
   • Range of a number of bits
   • subtraction using 2's complement

3. Underlow & Overflow

   • What does it mean?
   • When do they occur?

4. Rounding Errors

   • Inaccuracy with fixed & floating point binary
   • Absolute error calculation
     • Effect of magnitude
   • Relative error calculation
     • Effect of magnitude

5. Numbers with a fractional part

   • Fixed point binary
     • Decimal to Binary conversion
     • Binary to Decimal conversion
   • Floating point binary
     • Mantissa & Exponent
     • Decimal to Binary conversion
     • Binary to Decimal Conversion
     • Normalisation
       • Purpose
       • Normalise un-normalise form with + ve mantissa
       • Normalise un-normalise form with -ve mantissa
   • Fixed Point vs. Floating point
     • Range
     • Precision
     • Speed of calculation