Lab 1.pdf - Lab 1 \u2013 Veri\ufb01cation of Boolean Algebraic Rules and DeMorgan\u2019s Theorem I Introduction 1 Activity Verify Boolean Algebraic equation

# Lab 1.pdf - Lab 1 – Veriﬁcation of Boolean Algebraic...

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Lab 1 Verification of Boolean Algebraic Rules and DeMorgan’s Theorem I. Introduction 1. Activity Verify Boolean Algebraic equation Understanding and using the rule of Boolean Algebraic Doing schematic in Quartus and run the waveform analysis 2. Theory DeMorgan's Theorem is mainly used to solve the various Boolean algebra expressions. The DeMorgan's theorem defines the uniformity between the gate with same inverted input and output. It is used for implementing the basic gate operation likes NAND gate and NOR gate. II. Lab Experiment 1. Problem 1 a. Verify the equation in 10, 11 and 12 using logic simplification method and rule 1 9. 10. A + AB = A or A(B+1)=A but B+1=1 Then A.1 = A, So A = A 12. A + ? 11. A + ? ̅ B = A + B or AA+AB+ ? ̅ ? + ? ̅ ? = A + B A(A+B) + ? ̅ (A+B)=A+B (A+B)(A+ ? ̅ )=A+B so A + B = A + B 12. (A + B)(A+C) = A + BC or A + AC + AB + BC = A + BC A(1+C)+AB+BC=A+BC A(A+B)+BC= A+BC , So A + BC = A + BC
b. Construct Truth Table for 10, 11 and 12 10. A + AB = A A B AB A+AB 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 11. A + ?

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• Fall '17
• tola
• Logic, Logic gate, Veriﬁcation of Boolean Algebraic Rules

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