Need to Design a multiplier, which does the multiplication of a 3-bit number B (

Question

Need to Design a multiplier, which does the multiplication of a 3-bit number B(2:0) by a 4-bit number A(3:0). draw out the logic diagram of the multiplier (use the logic diagram of a 2-bit and 2-bit multiplier). Remember, you may only use half adders, full adders and AND gates. Then I need draw the circuit. You may use SPDT switches to provide the multiplicand and multiplier inputs. You may also use LED arrays to demonstrate your resulting binary number of the multiplier (each LED can be used for a single bit in the multiplier result). use your multiplier to conduct the following multiplications, use a table to list your inputs and expected outputs.

5x3

15x5

9x7

15x7

Explanation / Answer

A(1) A(0) B(1) B(0) C(3) C(2) C(1) C(0)

0 0 0 0 0 0 0 0

0 0 0 1 0 0 0 0

0 0 1 0 0 0 0 0

0 0 1 1 0 0 0 0

0 1 0 0 0 0 0 0

0 1 0 1 0 0 0 1

0 1 1 0 0 0 1 0

0 1 1 1 0 0 1 1

1 0 0 0 0 0 0 0

1 0 0 1 0 0 1 0

1 0 1 0 0 1 0 0

1 0 1 1 0 1 1 0

1 1 0 0 0 0 0 0

1 1 0 1 0 0 1 1

1 1 1 0 0 1 1 0

1 1 1 1 1 0 0 1

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