Midterm 2
Create a circuit this is capable of doing division between two 5 bit unsigned integer numbers. Remember that given a fraction A , A is called the dividend and B is called the divisor. The result of
the division is called the quotient. Your division circuit should be implemented using sequential logic and should complete the division within 6 clock cycles of receiving its input.
Restrictions
- You MAY NOT USE: RAM, ROM, or the Divider.
- You may only use 1 Adder/Subtractor◦ You cannot create more by using combinational logic
- You must implement a sequential circuit◦ Combinational solutions will receive 0 credit.
◦ You cannot implement the combinational solution presented in the book and then just placethe result in a register
Inputs
B
|
Name |
Width |
Description |
|
Dividend |
5 |
The dividend. This input will only be valid during the first clock tick that Divide is 1. This means you will have to store the Dividend. |
|
Divisor |
5 |
The divisor. This input will only be valid during the first clock tick that Divide is 1. This means you will have to store the Divisor. |
|
Divide |
1 |
When divide is 1 your process for division of the dividend by the divisor should start. Once your process begins it should ignore Divide until the division is complete. When divide is 0 your outputs should remain the same. |
Outputs
Name Width Ready 1
Quotient 5
Remainder 5
Hints
Description
1 if your circuit is ready to perform the next division and 0 if it is currently doing division. When Ready is 1 it also signifies that you have completed your division.
The quotient. On start up this value should be 0. If after completing the division, divide is 0 then this value should continue to hold the quotient of the most recent division. While doing division this value is a don’t care.
The remainder. If after completing the division, divide is 0 then this value should continue to hold the remainder of the most recent division. While doing division this value is a don’t care.
1. A program that divides 32 bit numbers has been provided to you. This will help you to think about how to implement it in hardware. Try to keep in mind the limitations of the hardware and the fact that your solution must complete within 6 clock cycles.
- Completing within 6 clock basically means that you can’t have a for/while loop that runs formore than 6 iterations.
- When converting to hardware all instructions within a block of code must be completed inparallel.
- Thank about how to translate the structures into hardware
1. How should a variable be represented in hardware? An if statement? A Loop?
2. Think about how to solve this problem similar to the way we solved the problem of designing a
CPU.
1. Build your data path first and once it is done figure out the control signals.
3. Components I used but not their counts: Register, Shift Register, Comparator, Mux, basic logic
gates, bit shifter, bit extender, Subtractor, Counter, Constant, Ground, and Splitter.