Preparing for my final exam… 📝✨ Laws in Boolean Algebra

Commutative, Associative, Distributive, and Inversion Laws 🧠💡

• Commutative Law 🔄 The order of the inputs doesn’t matter. Example: ex. A∙B=B∙A, A+B=B+A

✅ Applies to: AND, OR, NAND, NOR, XOR, XNOR

• Associative Law 🤝 When combining more than two values, the grouping doesn’t matter. Example: ex.(A∙B)∙C=A∙(B∙C), (1+0)+1=1+(0+1)=1 ✅ Applies to: AND, OR, NAND, NOR 🚫 Not applicable to: XOR, XNOR

• Distributive Law 📦➡️📦 One operation can be distributed over another. ex. A∙(B+C)=(A∙B)+(A∙C), A+(B∙C)=(A+B)∙(A+C) ✅ Applies to: AND, OR, NAND, NOR 🚫 Not applicable to: XOR, XNOR

• Inversion Law 🎭 If a value is ORed with its complement (NOT of the value), the output is always 1. If a value is ANDed with its complement, the output is always 0. ex. A+A=1, A∙A=0