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# 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.**