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A $2$ bit binary multiplier can be implemented using

  1. $2$ inputs $\text{ANDs}$ only
  2. $2$ input $\text{XOR s}$ and $4$ input $\text{AND}$ gates only
  3. Two $2$ inputs $\text{NORs}$ and one $\text{XNOR}$ gate
  4. $\text{XOR}$ gates and shift registers
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