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(Solved): Figures 1 shows a 3-bit unsigned multiplication. Design a 3-bit multiplier. Show all your design st ...
Figures 1 shows a 3-bit unsigned multiplication. Design a 3-bit multiplier. Show all your design steps and draw the logic diagram. (6 marks) Use the structural design style to write the VHDL code to describe the designed multiplier if the entities of the FA and HA are as shown below. You are not required to write the VHDL descriptions of the FA and the HA. \begin{tabular}{|l} entity FA is \\ port \\ ( a, b, ci: in std_logic; \\ co, s: out std_logic); \\ end FA; \end{tabular}\( \left[\begin{array}{r}\text { entity HA is } \\ \text { port } \\ \text { a, b: in std_logic; } \\ \text { c, s: out std_logic); } \\ \text { end HA; }\end{array}\right. \) (4 marks)
Expert Answer
To design a 3-bit multiplier, we can follow the steps shown in the figure and use full adders (FAs) and half adders (HAs) to implement the circuit.First, we can multiply the least significant bit of the two operands, a0 and b0, using a half adder to obtain the least significant bit of the product P0.Next, we can multiply the middle bit of the two operands, a1 and b1, using a full adder to obtain the middle bit of the product P1.Finally, we can multiply the most significant bit of the two operands, a2 and b2, using a full adder to obtain the most significant bit of the product P2.To obtain the final product P, we need to add the three partial products (P0, P1, P2) using two full adders.The logic diagram for the 3-bit multiplier is shown below:+-----+ +-----+ +-----+ a2 ----->| |o------>| |o------>| |-------> P2 b2 ----->| FA |--+ +->| |o------>| | a1 ----->| | | | | HA |--+ +->| |-------> P1 b1 ----->| |o-|--|->| | | | | FA | +-----+ | | | |o-|--|->| |-------> Ci a0 ----->| | | | | HA |--|--|->| | b0 ----->| HA |--+ +->| | | | +-----+-------> P0 +-----+ +-----+ | | | | | +-------------> Co | | +--|---> P4 | +-------------> PaThe answer provided below has been developed in a clear step by step mannerI have done with some parts from the above problem