The HDL Order

The time has come, young Padawan. Under the watchful eye of the Jedi Council of Digital Design, you are summoned to construct a module of power and precision — a 2×2 Matrix Multiplier, forged in the language of Verilog. To complete this mission, you must strike a balance between timing, resource usage, and logic efficiency. The fate of the Rebellion may rest on your silicon.

Mission Briefing

Objective:

Design a Verilog module that performs 2x2 matrix multiplication under the following conditions:

Specifications:

• Input: Two 2×2 matrices A and B, with each element as an 8-bit signed integer
• Output: A 2×2 matrix C, which is the product C = A × B

Optimization Goals:

• Minimize the number of clock cycles required
• Use hardware resources efficiently
• Minimize overall hardware logic

The Formula of Multiplicative Force

Let: \(A = \begin{vmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{vmatrix} \quad B = \begin{vmatrix} b_{11} & b_{12} \\ b_{21} & b_{22} \end{vmatrix}\)

Then: \(C = A \times B = \begin{vmatrix} a_{11}b_{11} + a_{12}b_{21} & a_{11}b_{12} + a_{12}b_{22} \\ a_{21}b_{11} + a_{22}b_{21} & a_{21}b_{12} + a_{22}b_{22} \end{vmatrix}\)

Task Execution Steps

1. Access the secret Jedi datapad:
   Testbench File – Google Drive

2. Launch the Holoterminal:
   Navigate to EDAPlayground

3. Testbench Deployment:
   • Paste the content from the Google Drive link into the testbench.sv section (left panel)
4. Design Deployment:
   • Write your Verilog module in the design.sv section (right panel)
5. Simulate the Force:
   • Click Save then Run
   • If the console outputs:

        ===========================================================
        Test Summary:
        Total Tests:                6
        Errors:                   0
        *** ALL TESTS PASSED! ***
        ===========================================================
        testbench.sv:116 : $finish called at 425000 (1ps)
     

     …then your circuit has awakened.

Hints to Get Started

Here are some helpful resources to guide you:

• Verilog Tutorial Playlist – A beginner-friendly YouTube series:
  Watch on YouTube

• HDLBits – Practice Verilog problems interactively:
  Start with Step One

• ChipVerify Tutorials – In-depth Verilog theory and examples:
  Explore Verilog Tutorials

Final Jedi Instructions

Your design must be optimized for both timing and logic. This means:

• Use the least amount of hardware possible
• Implement logic in the most pipelined and efficient manner

The Force binds all logic gates together. Let your HDL flow freely, but precisely.

May the clock edge rise in your favor.

Submit Here