A 2-bit binary multiplier can be implemented using

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UPSC ESE (Prelims) Electronics and Telecommunication Engineering 19 Feb 2023 Official Paper
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  1. two full adders and a two-input AND gate
  2. two half adders and four numbers of two-input AND gate
  3. one full adder, one half adder and one two-input AND gate
  4. one full adder and one two-input AND gate

Answer (Detailed Solution Below)

Option 2 : two half adders and four numbers of two-input AND gate
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Detailed Solution

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Half adder:

Half adders take two input bits and produce a sum and a carry. In a 2-bit multiplier, you would use two half adders to handle the individual bit multiplications.

Two Input AND gate: 

AND gates take two inputs and produce an output based on the AND operation. In this case, you have four AND gates, indicating that you're using them to perform the AND operation for each combination of bits in the multiplication process.

  • So, the two half adders handle the individual bit additions, and the four AND gates handle the bit-wise AND operation, which is crucial in binary multiplication.
  • This combination allows you to build a 2-bit binary multiplier by appropriately connecting these components to handle both addition and AND operations in the multiplication process.

Here, option 2 is correct.

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