UPC EETAC Bachelor's Degree in Telecommunications Systems and in Network Engineering EEL

 

4-bit serial multiplier (add & shift algorithm)

P8


Dedicated processor (datapath + control unit)

1. Specifications

Note: review, update: This project follows former CSD naming conventions and styles and is not yet updated. It has to be rewritten contextualising this application again as a dedicated processor. Comparison of a hardware combinational multiplier and this serial multiplier.

Cooperative groups will have to specify, plan, develop, simulate, implement and prototype a complex application such as serial multiplier.

Fig. 1 shows the symbol, the top level scheamatic to adapt the design to HWD-LC4128V prototyping board and the pin assigment for inputs and outputs (switches, buttons, LEDs and 7-segment digits). This is the visio of the symbol.

Class notes (pdf1) (pdf2) (pdf3) (pdf4) (pdf5) (pdf6) on problem discussion.

Symbol
schematic
HWD
Fig. 1. Symbol, top schematic adaptation and  prototyping board.

2. Plan C2 based on a dedicated processor

Devising a plan:

 

Dedicated processor
Fig. 2. Architecture of a dedicated processor.

 

3. Development

Top architecture and components.

diagram
Fig. 3. Complete planning using a dedicated processor architecture.
Fig 4: Internal architecture of the unsigned multiplier as a dedicated processor.
complete
Fig 5: Structural RTL level architecture of the datapath and control unit.

Each group designs their component using the typical PLD design flow (symbol, specifications (truth table for a CC, state diagram or/and timing diagram for a SS), ActiveHDL project, functional simulation using a ispLEVER-generated test bench, RTL schematic, gate-level simulation of the synthesised  circuit, analysis of used resource used, and reporting. 

State diagram

Fig. 6. State diagram of the FSM control unit.

All the VHDL files.

Number of VHDL files involved Block to be designed and some remarks Entity name (VHD) / top design Components (hierarchy level 1) Components (hierarchy level 2) Components (hierarchy level 3)
21 Multiplier (the top entity) multiplier.vhd (This file is the structure of the top entity, as shown above in Fig 1)
8 The 4x4 unsigned serial multiplier
unsigned_4bit_multiplier.vhd Datapath.vhd
Data_Reg_8bit.vhd 

Shift_Data_Reg_8bits.vhd

Shift_Data_Reg_4bits.vhd

 
Adder_8bit.vhd One_bit_adder.vhd
control_unit_multiplier.vhd    
3 5 s timer. This is a complex digital system in itself: a datapath, in this case a counter, controlled by a FSM
timer.vhd counter.vhd

control_unit_timer.vhd
   
1 4MUX4  (Chapter 1) Quad_MUX4.vhd      
2 Code converter from binary to BCD (Units, tens and Hundreds)
(Chapter 1, see a truth table and a block diagram for the 74185 chip)
Bin_BCD_converter_8bit.vhd Bin_BCD_type74185.vhd    
1 Binary to 7 segment decoder with "H" symbol. BCD_7seg.vhd      
5 Clock divider OSC_FREQ_DIV.vhd Freq_Div_100.vhd

Freq_Div_50.vhd

Freq_Div_2.vhd

T_Flip_Flop.vhd
   

 

4. Test (functional)

Design the Active-HDL test bench for the top Multiplier project.

Functional simulation.

 

5. Test (gate-level)

 Gate-level simulation.

6. Prototyping

Demonstrate how the board works for real as a laboratory prototype.

Add other features, link the project with other or learn on how th implement multipliers using different algorithms

 

7. Report

 Example of report for this project (Author: Angélica Rodríguez Sánchez).

 

Other questions: How to multiply 8x8 bit numbers using an 4x4 multiplier?