Base Selection

• Multiply by a constant

• Common bases: 10, e and 2

• The constants: 0.3010, 0.6931 and 1

• Shift and add multiplier (small area)

  • 0s at the left & right can be skipped
  • We load the accumulator with the result obtained by the first step and all the 0s

• Example: base 10, 14 bits: 0.01001101000100

  • Without l&r 0s: 10011010001
  • Optimizing the LSB operation 1001101

• A 14 bits multiplication is achieved in 7 steps.