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Logical expressions simplify a logic circuit/expression using Boolean algebra
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Review Last lesson we learned logical operators. Name which of them do you remember? What is ALU? Why do we need to know logical expressions?
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Main logical operators and their truth tables And Or Nand Xor Nor
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Notice!! When we write equations + is And * is Or is Not ___ A+B is Nand ___ A*B is Nor
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Simplifying boolean equations with Truth Tables A common question is to give you a complex boolean equation, which you will then have to work out a simpler exact equivalent. This is useful when you …
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Simplifying boolean equations with Truth Tables _______ A + notB First of all we need to draw a truth table for A and B Then we need to add there notB After that we calculate A + notB And finally we …
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Exercise 1 Simplify the following equation yourself using Truth table: _______ A * notB
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De Morgan’s law Not (A and B) is the same as Not A or Not B. ____ _ _ A + B = A * B Not (A or B) is the same as Not A and Not B. ____ _ _ A * B = A + B
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Prove Let's prove that I'm not lying to you by creating a truth table to prove that ____ _ _ A * B = A + B
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Exercise 2 Prove the second De Morgan’s Law with Truth table ____ _ _ A + B = A * B
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Now do some exercises on the paper sheets
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Reflection Why do we need simplification? How can it help circuits? What way of simplification you like better Truth tables or De Morgan’s rule?
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