Normalization

• For m=1 and n>=3 the 0.5<=x<1 is ok

• In binary: 0.1<=x<1.0

• How to find j? E integer bits, D decimal bits

  • j=E
  • Shift to the left until the MSB=1
  • Decrease j in each iteration

• Example: E=5, D=3, x=00100.101 (4.625)

  • x=00100.101 j=5
  • x=01001.010 j=4
  • x=10010.100 j=3 => 0.10010100 (0.578125)

• Up to E+D-1 clocks, but half takes 0 clocks and only one in 2E+D-1 takes the max.