Binary number system

• Floating point represents a large number of bits in a smaller way, which saves memory
• Fixed point is not as precises as floating, but its faster at processing.
• Underflow is when a number is too small
• overflow is when a number is too big to fit into a variable and overflows the variable
• Denary = Decimal
• Unsigned binary is positive (0.1)
• Signed binary is negative (1.0)
• Fixed point binary are decimal numbers
• Converting to Hexadecimal - 193 = C1

  • Convert to Binary - 11000001
  • Split into two - 1100 0001
  • 1100 = 12 and 0001 = 1
  • 12 is C is Hexadecimal.
• lowest values that could be represented in unsigned binary when using 16 bits is 0
• Highest values that could be represented in unsigned binary when using 16 bits is 2^16 -1
• Label these.

  A) 0

  B) 1

  C) 1 carry 0

  
• With floating point binary the decimal point can move whereas the decimal point can't move in fixed.
• If the floating point exponent is positive you move the decimal point to the right, if it is negative you move it to the left.
• With fixed point the absolute error will always be the same but with floating it varies.
• Normalisation is making sure numbers are as precise as possible