810 2-bit 2x2 Matrix Multiplier
810 : 2-bit 2x2 Matrix Multiplier
- Author: Kevin Ma
- Description: multiples two 2-bit 2x2 matrices
- GitHub repository
- Clock: 1000000 Hz
How it works
Computes matrix multiplication AB = C.
Standard input pins are used to input a 2-bit 2x2 matrix A as 8-bit 1x8 matrix. Bidirection IOs, initialized as inputs, are used to input a 2-bit 2x2 matrix B as 8 bit 1x8 matrix. Standard output pins will show the result of the computation in as a 2-bit 2x2 matrix as 8-bit 1x8 matrix.
Here is the matrix position mapping to input pins. Note each value is 2-bits.
"A" top left: (0,0) -> IN7 | IN6
"A" top right: (0,1) -> IN5 | IN4
"A" bot left: (1,0) -> IN3 | IN2
"A" bot right: (1,1) -> IN1 | IN0
"B" top left: (0,0) -> IO7 | IO6
"B" top right: (0,1) -> IO5 | IO4
"B" bot left: (1,0) -> IO3 | IO2
"B" bot right: (1,1) -> IO1 | IO0
"C" top left: (0,0) -> OUT7 | OUT6
"C" top right: (0,1) -> OUT5 | OUT4
"C" bot left: (1,0) -> OUT3 | OUT2
"C" bot right: (1,1) -> OUT1 | OUT0
The logic will compute the matrix multiplication of AB, and output the result in the 8 output pins (8 bits).
Each pin corresponds to one bit.
How to test
To set a pin to 1, pull up to max voltage of the respective pin. To set a pin to 0, pull down to ground.
Pull the pins respectively to input your A and B matrices based on the mapping in the above section.
The matrix mulitplication of AB will be output.
External hardware
No external hardware needed.
IO
| # | Input | Output | Bidirectional |
|---|---|---|---|
| 0 | IN0 | IO0 | OUT8 |
| 1 | IN1 | IO1 | OUT9 |
| 2 | IN2 | IO2 | OUT10 |
| 3 | IN3 | IO3 | OUT11 |
| 4 | IN4 | IO4 | OUT12 |
| 5 | IN5 | IO5 | OUT13 |
| 6 | IN6 | IO6 | OUT14 |
| 7 | IN7 | IO7 | OUT15 |