# Boolean Algebra Laws

Boolean Algebra Laws 150 150 Affordable Capstone Projects Written from Scratch

EEN1200

Lab: Boolean Algebra Laws

In this laboratory experiment you will design a series of digital circuits to demonstrate the basic laws of Boolean using Inverters, AND gates, and OR gates. Verify the equality of the laws by building two separate circuits for the left and right of the equations. Using switches for A and B inputs, LEDs for the outputs.

1. Basic laws of Boolean Algebra:

 1 A+0=A 2 A+1=1 3 A*0=0 4 A*1=A 5 A+A=A 6 A+A=1 7 A*A=A 8 A*A=0 9 A=A 10 A+A*B=A 11 A+A*B=A+B 12 (A+B)*(A+C)=A+B*C

I-1   Design a circuit that will demonstrate the first law of Boolean algebra  Set up a truth table, take the requires data to fill in the truth table, and demonstrate the law.

I-2   Design a circuit that will demonstrate the second law of Boolean algebra  Set up a truth table, take the requires data to fill in the truth table, and demonstrate the law.

I-3   Design a circuit that will demonstrate the third law of Boolean algebra  Set up a truth table, take the requires data to fill in the truth table, and demonstrate the law.

I-4   Design a circuit that will demonstrate the fourth law of Boolean algebra  Set up a truth table, take the requires data to fill in the truth table, and demonstrate the law.

I-5   Design a circuit that will demonstrate the fifth law of Boolean algebra  Set up a truth table, take the requires data to fill in the truth table, and demonstrate the law.

I-6    Design a circuit that will demonstrate the sixth law of Boolean algebra  Set up a truth table, take the requires data to fill in the truth table, and demonstrate the law.

I-7   Design a circuit that will demonstrate the seventh law of Boolean algebra  Set up a truth table, take the requires data to fill in the truth table, and demonstrate the law.

I-8   Design a circuit that will demonstrate the eight law of Boolean algebra  Set up a truth table, take the requires data to fill in the truth table, and demonstrate the law.

I-9   Design a circuit that will demonstrate the ninth law of Boolean algebra  Set up a truth table, take the requires data to fill in the truth table, and demonstrate the law.

I-10   Design a circuit that will demonstrate the tenth law of Boolean algebra  Set up a truth table, take the requires data to fill in the truth table, and demonstrate the law.

I-11   Design a circuit that will demonstrate the eleventh law of Boolean algebra  Set up a truth table, take the requires data to fill in the truth table, and demonstrate the law.

I-12   Design a circuit that will demonstrate the twelfth law of Boolean algebra  Set up a truth table, take the requires data to fill in the truth table, and demonstrate the law.

II-1   Consider the following Boolean expression:

X=A*B*C

Design a digital logic circuit that will generate X. Create a truth table and take data to fill in the truth table

Apply DeMorgan’s theorem to X, design that digital logic circuit that will generate that expression. Create a truth table and take data to fill in the truth table

II-2   Consider the following Boolean expression:

X=A+B+C

Design a digital logic circuit that will generate X. Create a truth table and take data to fill in the truth table

Apply DeMorgan’s theorem to X, design that digital logic circuit that will generate that expression. Create a truth table and take data to fill in the truth table

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