547 3-bit ALU
547 : 3-bit ALU
- Author: José Raña Gámez
- Description: This device is a 3-bit ALU that generates 5 operations in parallel. The operations that the ALU performs are: addition, subtraction, multiplication, division and modulo operation. The device has 2 inputs; A[3-bit] and B[3-bit] along with a 3-bit selector (Selector[3-bit]). It also has a single 6-bit output (OutPut[6-bit]). In the end, the design entails 15 pins in total; 9 input and 6 output pins. The operation of this ALU is simple: At input A and B, the values are set using switches, for example, A= 111 and B=101. To obtain the 5 different results through the different 5 operations that the ALU performs, the 3-bit selector (Selector[3-bits]) is used, therefore, using 3 switches we will place the result that we want to observe at the output.
- GitHub repository
- Clock: 0 Hz
How it works
This device is a 3-bit ALU that generates 5 operations in parallel. The operations that the ALU performs are: addition, subtraction, multiplication, division and modulo operation. The device has 2 inputs; A[3-bit] and B[3-bit] along with a 3-bit selector (Selector[3-bit]). It also has a single 6-bit output (OutPut[6-bit]). In the end, the design entails 15 pins in total; 9 input and 6 output pins. The operation of this ALU is simple: At input A and B, the values are set using switches, for example, A= 111 and B=101. To obtain the 5 different results through the different 5 operations that the ALU performs, the 3-bit selector (Selector[3-bits]) is used, therefore, using 3 switches we will place the result that we want to observe at the output. The selector works as follows: since the selector is 3-bit, we will have 2^3= 8 combinations, but in this case we will only use the first 5 combinations in this way:
Combination 1 for sum: 000
Combination 2 for subtraction: 001
Combination 3 for multiplication: 010
Combination 4 for division: 011
Combination 5 for module: 100
The remaining combinations do not have an assigned operating function, therefore, the remaining combinations will not generate any result at the output of the device.
How to test
Choose two values of 3-bits for the inputs A and B by using switches, for example: A=111 and B=101. Then, use the 3-bit selector that has 3 switches to choose one of the 5 combinations to select an operation (sum[000], substraction[001], multiplication[010], division[011] and module[100]) so that it can be obtained the wanted results observed at the output (Leds).
For example: we choose the values A=111 and B=101. Then, if the 3-bit selector has the combination 011 then the operation will be A=111 / B=101 (division).
Another example, we choose the values A=111 and B=101. Then, if the 3-bit selector has the combination 010 then the operation will be A=111 * B=101 (multiplication).
Another example, we choose the values A=111 and B=101. Then, if the 3-bit selector has the combination 000 then the operation will be A=111 + B=101 (sum).
The results will be shown at the 6-bit output that uses 6 Leds to demonstrate the results of any of the 5 operations available in the ALU.
External hardware
3-bit input "A": uses 3 switches.
3-bit input "B": uses 3 switches.
3-bit input "Selector": uses 3 switches.
6-bit output "Results": uses 6 Leds.
The mentioned inputs and outputs are respectively connected to the pins of the project circuit as follows:
Inputs
ui[0]: "First bit for input 'A'(input of 3-bits)"
ui[1]: "Second bit for input 'A'(input of 3-bits)"
ui[2]: "Third bit for input 'A'(input of 3-bits)"
ui[3]: "First bit for input 'B'(input of 3-bits)"
ui[4]: "Second bit for input 'B'(input of 3-bits)"
ui[5]: "Third bit for input 'B'(input of 3-bits)"
ui[6]: "Unused input bit"
ui[7]: "Unused input bit"
Outputs
uo[0]: "First bit for output 'Leds'(output of 6-bits)"
uo[1]: "Second bit for output 'Leds'(output of 6-bits)"
uo[2]: "Third bit for output 'Leds'(output of 6-bits)"
uo[3]: "Fourth bit for output 'Leds'(output of 6-bits)"
uo[4]: "Fifth bit for output 'Leds'(output of 6-bits)"
uo[5]: "Sixth bit for output 'Leds'(output of 6-bits)"
uo[6]: "Unused output bit"
uo[7]: "Unused output bit"
Bidirectional pins
uio[0]: "First bit for input 'ctrl'(input of 3-bits)"
uio[1]: "Second bit for input 'ctrl'(input of 3-bits)"
uio[2]: "Third bit for input 'ctrl'(input of 3-bits)"
uio[3]: "Unused bidirectional I/O bit"
uio[4]: "Unused bidirectional I/O bit"
uio[5]: "Unused bidirectional I/O bit"
uio[6]: "Unused bidirectional I/O bit"
uio[7]: "Unused bidirectional I/O bit"
For a better visualization, see Figure 1.
Figure 1: 'External Hardware pins conections visualization'
IO
| # | Input | Output | Bidirectional |
|---|---|---|---|
| 0 | First bit for input 'A'(input of 3-bits) | First bit for output 'Leds'(output of 6-bits) | First bit for input 'ctrl'(input of 3-bits) |
| 1 | Second bit for input 'A'(input of 3-bits) | Second bit for output 'Leds'(output of 6-bits) | Second bit for input 'ctrl'(input of 3-bits) |
| 2 | Third bit for input 'A'(input of 3-bits) | Third bit for output 'Leds'(output of 6-bits) | Third bit for input 'ctrl'(input of 3-bits) |
| 3 | First bit for input 'B'(input of 3-bits) | Fourth bit for output 'Leds'(output of 6-bits) | Unused bidirectional I/O bit |
| 4 | Second bit for input 'B'(input of 3-bits) | Fifth bit for output 'Leds'(output of 6-bits) | Unused bidirectional I/O bit |
| 5 | Third bit for input 'B'(input of 3-bits) | Sixth bit for output 'Leds'(output of 6-bits) | Unused bidirectional I/O bit |
| 6 | Unused input bit | Unused output bit | Unused bidirectional I/O bit |
| 7 | Unused input bit | Unused output bit | Unused bidirectional I/O bit |