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Computer Systems – Logic Gates Introduce the basic logic gates Introduce truth tables Introduce Boolean algebra (dont panic!) Examples of combining gates

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AND gate A B A B All inputs have to be true ( i.e 1) for the output of the gate to be high, in all other cases the output is false.

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OR gate A B A B If any of the inputs are true then the output is true

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A _ A _ A NOT gate The output of a NOT gate is the opposite of the input, in other words the gate inverts the input, so is often called an inverter.

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NAND gate The opposite of an AND gate when any of the inputs are false the output is true Equivalent to A B A B

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A B A B Equivalent to The opposite of the OR gate, the gate is only true when none of the inputs are true. NOR gate

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A B Exclusive OR (XOR) In a 2-input the gate is only true when the inputs are different.

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Boolean Algebra

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Examples

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Summary Introduced – Basic logic gates – Combined gates – Boolean Logic – Truth Tables

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Sources for further reading Chalk et al (2004) pages 26-27. Dick (2002) pages 98-100 Burrel (2004) Chapter 3 - pages 43 -47 Tanenbaum (2005) pages 135-140

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The inverter performs the Boolean NOT operation. When the input is LOW, the output is HIGH; when the input is HIGH, the output is LOW. The Inverter AX.

The inverter performs the Boolean NOT operation. When the input is LOW, the output is HIGH; when the input is HIGH, the output is LOW. The Inverter AX.

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