Adding Floating Point Numbers

• Requires that the binary points be aligned

• Equivalent to having the same exponent ...

  shift the mantissa of the smaller right, raising
  
  its exponent

1.000*2-1 + 1.011*22 (0.5 + 5.5)

Shift smaller right: 1.000x2-1=0.100x20=0.0100x21=0.001x22

Add: 1.011 *22 + 0.001 *22 =1.100 *22

Renormalize: 1.100 *22 ... it’s OK

Result: 1.100 *22

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