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Published byDamion Faulkingham Modified over 4 years ago

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Lesson Objectives Understand and produce simple logic diagrams using the operation NOT, AND and OR Produce a truth table from a given logic diagram

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Logic Gates The digital computer uses an arrangement of tiny electronic switches (transistors) called logic gates connected together. These logic gates are used to manipulate the signals within the processor. The arrangement of the switches in the logic gate determines what it does to the input signal. The logic gates are all connected to allow the processor to receive and pass on electronic signals

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**NOT There are three main logic gates. NOT:**

If 0 is input then it outputs 1; If 1 is input then it outputs 0. INPUT OUTPUT 1 INPUT OUTPUT OCR GCSE Computing © Hodder Education Slide 3

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**Test it out Go to http://logic.ly/ and click TRY ONLINE Add a swtich**

Add a NOT gate Add a light bulb

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**NOT A not gate only allows the data through if the signal is 0**

When the switch is on = 0 When the switch is on = 1 The switch is on (1) therefore the output is off (0) The switch is off (0) therefore the output is on (1)

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**AND: The AND gate outputs 1 only if both inputs are 1. INPUT A OUTPUT**

1 INPUT A OUTPUT INPUT B OCR GCSE Computing © Hodder Education Slide 6

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AND The output will only be on (1) if both input are on (1)

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**OR: The OR gate outputs 1 if either of the inputs is 1. INPUT A OUTPUT**

B OUTPUT 1 INPUT A OUTPUT INPUT B OCR GCSE Computing © Hodder Education Slide 8

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OR The output will only be on (1) if EITHER or BOTH of the inputs are on (1)

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Truth Tables For every logic gate we can produce a truth table. This shows all of the possible inputs and the resulting outputs What kind of logic gate does this diagram represent? Inputs Output Good film? Enough Money? Go to cinema? No N Yes

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Worksheet 1 In the exam you may have to draw a logic diagram, or a truth table. Complete the worksheet Make sure that you label each diagram correctly with the different inputs and outputs

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Logic Circuits Computer systems are complicated things. Often, a number of logic diagrams are used together to create logic circuits. AND NOT

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**1 1 1 AND NOT INPUT A INPUT B INPUT C OUTPUT Q INPUT A INPUT B INPUT C**

INPUT A INPUT B INPUT C OUTPUT Q 1 INPUT A INPUT B INPUT C OUTPUT Q 1 We can now complete the output by looking at input C. As this is an NOT gate, the output is the opposite of the input We can the fill the output of the AND gate. This output then becomes input C which is input into the NOT gate We can first fill in the table with all of the different combinations of inputs from A and B AND NOT

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**Worksheet 2 Complete the work sheet on Logic Circuits**

Everyone should attempt the first 2 questions. Move on to questions 3 and 4 to stretch yourself

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© 2016 AQA. Created by Teachit for AQA 3.4.2 Boolean logic Lesson 3.

© 2016 AQA. Created by Teachit for AQA 3.4.2 Boolean logic Lesson 3.

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