# Design is based on the 8 bit adder that you hav e

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In this section you are going to design an 8-bit add-shift multiplier. Design is based on the 8- bit adder that you hav e designed in the previous lab. When we form the product AxB, the first operand A is called the multiplicand, and the second operand B is called the multiplier. As illustrated below, binary multiplication requires only shifting and adding. In the followin g example, we multiply 13 by 11 in binary: Note that each partial product is either the multiplicand (1101) shifted over by the appropriate number of places or zero. The multiplication process consists of looking at each successive bit of the multiplier in turn, starting with the least significant bit. If the multiplier bit is a logic 1, the multiplicand is copied down; otherwise, zeros are copied down. The numbers copied down in successive lines are shifted one position to the left from the previous n umber. Finally, the numbers are added and their sum provides the product. This is called a shift/add algorithm. A block diagram for the circuit is shown in figure 1. (Accumulator is basically an adder like the one you have designed in lab 1). Your design is not limited to this block diagram but you can get idea for the entities you need and the connections between them.

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Figure 1. A sample b lock d iagram for an 8 - bit multiplier Your design can have mixed behavioral and structural parts. Remember that for ad dition , you may reuse your lab 1 16 - bit ALU. Hint : Use behavioral description for the control path and use structural architecture for data path.
Final Report You are required to submit a written report summarizing what you have accomplished in this project. Only one report is required per group, so don t forget to include the names of all team members (but only on the first page.) Your report should be a SINGLE Microsoft Word document file and should include the following: Project background and specification Design approach and challenges Implementation details (Schematics, VHDL) Size of your design (slice count) Simulation results (waveforms) References, if any.
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