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Experiments with Digital Systems.

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Introduction

Abstract: The Lab, Experiments with Digital Systems, gave us a chance to get some hands on experience with simple logic circuits, and see them work. This lab also introduced us to the Laws of Boolean Algebra. We also saw how a computer can interact with a circuit outside of the computer. Introduction: A digital system is a combination of circuits connected in some specific way to perform a specified function where all variables involved are allowed only a finite number of discrete states or values. The values that the circuit understands are in a form called binary. Binary signals consist of two numbers 0 and 1. A one represents the presence of voltage, a zero, on the other hand, represents the absence of voltage. Zeros and ones can also represent on/off, true/false, etc. The combinations of these 0's and 1's are used to represent numbers, characters, and other information. There are certain rules and theorems that make up the fundamental concepts of a binary system. These fundamental concepts are known as Boolean algebra. Boolean algebra is vital because its applications directly lead to techniques that are essential in designing efficient digital systems. An x-bit binary system is capable of 2x combinations/values. For example, an eight-bit system is capable of 28 or 256 combinations/values. ...read more.

Middle

Pin numbers increase as you go down the left side of the chip. Numbering picks up on the other side of the chip in the lower right hand corner, and continues up the right side of the chip until it reaches 14 in the upper right corner. Pin 7 must be ground and pin 14 must be the power supply. To hook the circuit to the computer you must use a 50-pin connector that snaps into the breadboard. Power is located at pin 49 of the interface connector. Ground is located at pin 50 on the interface connector. Once you have wired your circuit and made the power and ground connections you must make connections for the digital input and output. Pins 14-21 on the computer interface connector can be used to provide digital inputs to your circuit. Pins 22-29 on the computer interface connector can be used to view the digital outputs of your circuit. Once the circuit has been connected correctly you will use a program called "Digital Lab" on the computer to analyze your circuit and confirm that it is connected correctly. Now you are finally ready to begin testing your circuit. To run the DAQ software push either the single arrow or the re-circulating arrow pair in the upper left hand corner of the DAQ window. ...read more.

Conclusion

The circuit diagram that we were given was as follows: A B C Z D The wiring diagram for this circuit involved 3 chips and 4 inputs. There are many possibilities for building this circuit; the one we built looks as follows: Power Z B Ground Power B A C Ground Power D Ground The truth table that we obtained when you used the computer program looks as follows: A B C D Z (Output) 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 The circuit again worked. The answers obtained by the computer program were exactly the same as the answers obtained in the pre-lab on paper. Conclusion: In conclusion this lab taught us the basics of building circuits and how to build circuits from picture. Now I know circuit logic and how it works both on paper and in a computer. Most importantly I learned the basics of the functions that build everything, that is, the AND, OR, NAND, NOR, XOR and NOT functions. Laboratory 4: Experiments with Digital Systems ...read more.

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