Title: Simplification of Boolean functions

Objectives:

Objective must be complete. In this lab it is important that your objective for all three parts of the lab be specific and include all of the design constraints. These constraints along with the intent of the design need be carefully reviewed before you begin the design process.

Logic Diagram:

Simplify using the Map Method and test both circuits at the same time.

Boolean Functions:

Use minimum number of NAND ICs.

Do not duplicate a gate if the same term is required in both functions.

Apparatus List:

Protoboard with built in 5-volt power supply.

Switches

LEDs

Parts List:

The parts list for each design should include the part and the number of ICs used. This can and should also be listed at the bottom of your schematic as well.

Assorted wires

Complement:

Use Map method to find Function by circling 1s and Complement by circling 0s.

Implement with NAND. Test at same time.

Design Procedure:

In this lab you have to perform some designs. Your design steps and methodology are what is to be demonstrated in this step. You can refer to the schematic (logic diagram) section for wiring the circuit. You can include your good wiring practice list in the schematic section as well. You can refer to your objective for design constraints.

Logic Diagram:

Part1: Refer to objective to build and test the given logic diagram. The below diagram shows one with labeled pin numbers which you are required to have in lab to build your circuit. Further elaborate on any wiring recommendations.

Truth table to record inputs and output results, as well as (xyz) , (xyz) and (xz)

Part 2:

Kmap for simplification

Simplified logic diagram can go here or in next section

Boolean Function:

Truth Table

Kmap for simplification

Simplified logic diagram can go here or in next section

Complement:

Truth Table

Kmap for simplification

Simplified logic diagram can go here or in next section

Logic (schematic) Diagrams:

Your logic diagrams should show the connection of logic gates with pin numbers outside the logic gate. Wiring diagrams of the 14pin ICs is optional.

Logic Diagram:

Part1:

Part2:

Boolean Function:

Complement:

Verification Procedure:

Your verification procedure can include debugging techniques of verifying the output of each gate according to your analysis truth tables.

common debugging techniques include checking for loose connections, using a multimeter to measure voltage and continuity, and using an oscilloscope to observe the signals at various points in the circuit.

Your verification procedure, which is to verify implementation of the design, can use the truth table that you came up with after you analyzed your design. You can refer to the Red and Green LEDS that should be lit using the sum of minterms notation.

Logic Diagram:

Part1:

Part2:

Boolean Function:

Complement:

Conclusion:

In conclusion, the key to a successful implementation of a Boolean function is careful design and verification. By following the design constraints and good wiring practices, and by carefully testing the circuit against the expected behavior, you can ensure that your design is accurate and reliable.