🗊 Презентация Logical expressions

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Слайды и текст этой презентации

Слайд 1


Logical expressions simplify a logic circuit/expression using Boolean algebra
Описание слайда:
Logical expressions simplify a logic circuit/expression using Boolean algebra

Слайд 2


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?
Описание слайда:
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?

Слайд 3


Main logical operators and their truth tables And Or Nand Xor Nor
Описание слайда:
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
Описание слайда:
Notice!! When we write equations + is And * is Or is Not ___ A+B is Nand ___ A*B is Nor

Слайд 5


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...
Описание слайда:
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 are designing circuits and want to minimise the number of gates you are using or make circuits that only use particular types of gates. To simplify boolean equations you must be familiar with two methods. You can normally use either, but try to master both: Truth tables Boolean algebra - identities and De Morgan’s Law

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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...
Описание слайда:
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 apply NOT for our equation A + notB

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And we get this
Описание слайда:
And we get this

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Exercise 1 Simplify the following equation yourself using Truth table: _______ A * notB
Описание слайда:
Exercise 1 Simplify the following equation yourself using Truth table: _______ A * notB

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Answer 1
Описание слайда:
Answer 1

Слайд 10


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 +...
Описание слайда:
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

Слайд 11


Prove Let's prove that I'm not lying to you by creating a truth table to prove that ____ _ _ A * B = A + B
Описание слайда:
Prove Let's prove that I'm not lying to you by creating a truth table to prove that ____ _ _ A * B = A + B

Слайд 12


Exercise 2 Prove the second De Morgan’s Law with Truth table ____ _ _ A + B = A * B
Описание слайда:
Exercise 2 Prove the second De Morgan’s Law with Truth table ____ _ _ A + B = A * B

Слайд 13


Answer 2
Описание слайда:
Answer 2

Слайд 14


Now do some exercises on the paper sheets
Описание слайда:
Now do some exercises on the paper sheets

Слайд 15


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?
Описание слайда:
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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