Objective of this lab:

	To investigate arithmetic circuitry. 
	Arithmetic circuits play a central role in the operation of a microprocessor.

Preparation

	Read lab lecture notes.

Lab Assignments

1. Obtain the state table, state diagram, and functions of the following sequential design.
   Implement the design and verify the state table using your own full adder device.
   Use a 4-bit Shift Register to store and display the result of

   	0011 
         + 0001 
         ------
           0100  

   
   Hand-In

   • State table
   • State diagram
   • Functions of sum and carry
   • Screenshot of the complete circuit with the results of 0011 + 0001 (stored in the 4-bit Shift Register with MSB and LSB indicated)

2. Obtain the state table, state diagram, and functions of the following sequential design.
   Implement the design and verify the state table using your own full subtractor device.
   Use a 4-bit Shift Register to store and display the result of

   	0101 
         - 0011  
         ------
           0010  

   
   Hand-In

   • State table
   • State diagram
   • Functions of the difference and borrow
   • Screenshot of the complete circuit with the results of 0101 - 0011 (stored in the 4-bit Shift Register with MSB and LSB indicated)

3. Implement the following bit sequential Adder-Subtractor design using your own full adder device.

   
   X and Y are two operand inputs and Z is for the control signal i.e. Z is the selection bit.
   When Z has value 0, the circuit is an adder, meanwhile, the D flip-flop should be initialized to 0 for each addition.
   When Z has value 1, it performs subtraction, meanwhile, the D flip-flop should be initialized to 1 for each subtraction.

   
           Test your Adder-Subtractor circuit on the following operations and 
      	use the 4-bit Shift Register to store and display their results.  
   
   	(Note:	Start from the least significant bit and 
   	remember to initialize the D flip-flop accordingly)
   
   	0001 + 0011 = ? 
   
   	0101 + 0010 = ? 
   
   	0101 - 0011 = ? 
   
   	0011 - 0101 = ? 
   
   

   
   Hand-In
   • Hand in the complete circuits testing the four cases above.
     Use a 4-bit Shift Register to store and display their results
     and indicate the MSB and LSB.
   
   Make sure you have the images of all the completed circuits inserted in the Lab5.pdf file.
   • Describe the testing procedure used for Question 3 for addition and subtraction.
   
   
   Please note:
   To make it easier for marking, you are required to submit
   one .pdf file and one .circ file, they will contain all the required components for the lab assignment.
   This will apply to Lab #1 to Lab #6.