Today You are Learning simple logic diagrams using the operations AND, OR and NOT truth tables combining Boolean operators using AND, OR and NOT.

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Presentation transcript:

Today You are Learning....... simple logic diagrams using the operations AND, OR and NOT truth tables combining Boolean operators using AND, OR and NOT to two levels applying logical operators in appropriate truth tables to solve problems

Logic Gates

Solve these Logic Problems http://www.think-logically.co.uk/lt.htm Starter - http://www.logic- puzzles.org/game.php?u2=259141ce8e168b457b53b6b9d9a8bcee Starter 2 - http://www.logic- puzzles.org/game.php?u2=a4d4c77ef9e37009fb233bf8f170a395 Further Reading http://www.ee.surrey.ac.uk/Projects/CAL/digital- logic/gatesfunc/index.html#orgate

What is this? AND

AND gate Input A Input B Output (Q) 1 Produces an output only if both inputs are on Input A Input B Output (Q) 1

Can you draw a circuit that would act like an AND gate?

OR Gate Input A Input B Output (Q) 1 Produces an output when one or the other input are active…. Input A Input B Output (Q) 1

Can you draw a circuit that would act like an OR gate?

NOT Gate Input (A) Output (Q) 1 A NOT gate inverts its input 1 could play the opposite game?

Can you draw a circuit that would act like an NOT gate?

Some extras to fry your brain

NAND IS AN “INVERTED AND GATE”

NOT AND = NAND Input A Input B A.B Output (Q)=A.B 1

Can you draw a circuit that would act like an NAND gate?

A NOR gate is simply an inverted OR gate. Output is high when neither input A nor input B is high:

NOT OR =NOR Input A Input B A+B Output (Q) A+B 1

Can you draw a circuit that would act like an NOR gate?

An XOR gate is constructed similarly to an OR gate, except with an additional NAND gate inserted such that if both inputs are high, the inputs to the final NAND gate will also be high, and the output will be low.

XOR – Exclusive OR Input A Input B Output (Q) 1

Can you draw a TRUTH table? Draw a thruth Table for AND Gate

Can you draw a TRUTH table? Draw a thruth Table for AND Gate

NOT Gate

AND Gate