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- 1. Understanding Boolean Algebra Software Developers View of Hardware
- 2. What is Boolean Algebra? Is used to describe logical propositions where the outcome is either true or false.
- 3. Algebra Notation Logic Gate Meaning Notation NOT NOT A A OR A OR B A+B AND A AND B A.B XOR A XOR B A⊕B
- 4. The Process
- 5. Step 1 Find the output for Q. Q = C.D
- 6. Step 2 Find the output for D. D = A+B
- 7. Step 3 Find the output for C. C = NOT B
- 8. Step 4 Combine the equation. Q = (NOT B).(A+B)
- 9. Step 5 Test via a truth table. A B C B A+B Q 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0
- 10. Activity 1 Construct a truth table for the following circuit using Boolean algebra:
- 11. Answer A B C=A D=C.B Q=B+D 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 0 0 1
- 12. Activity 2 Construct a circuit that will output 1 only when A=0 and B=1. A B Q 0 0 0 0 1 1 1 0 0 1 1 0
- 13. Answer
- 14. Activity 3 We can solve a problem if we are given a truth table rather than a written description. Here is another truth table, create a circuit from it. A B Q 0 0 1 0 1 0 1 0 1 1 1 1
- 15. Answer
- 16. Activity 5 You have a buzzer in your car that sounds when your keys are in the ignition and the door is open (Door Open = 0).Create the following: Algebra Notation Truth Table Circuit
- 17. Activity 6 You have a buzzer in your car that sounds when your keys are in the ignition and the door is open (Door Open = 0).Create the following: Algebra Notation Truth Table Circuit
- 18. Situations 1.You have a buzzer in your car that sounds when your keys are in the ignition and the door is open. 2.You have a fire alarm installed in your house. This alarm will sound if it senses heat or smoke. 3.There is a federal election coming up. People are allowed to vote if they are a Canadian citizen and they are 18. 4.Mr. Carranza is giving his students an assignment. To complete the assignment the students must do a presentation or write an essay. 5.Stephanie is applying to a university Applied Mathematics program. She must have OACs in Algebra, Calculus and Physics or Chemistry.

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