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Logic Gates

Logic Gates. Logic Gates. Digital Signals Logic Gates NOT (Inverter) Gate AND Gate OR Gate NAND Gate NOR Gate XOR Gate. Each column represents a small amount of time. Digital Signals. Digital signals 0 (false) or 1 (true) Digital signal 1 is represented by a small voltage.

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Logic Gates

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  1. Logic Gates

  2. Logic Gates • Digital Signals • Logic Gates • NOT (Inverter) Gate • AND Gate • OR Gate • NAND Gate • NOR Gate • XOR Gate

  3. Each column represents a small amount of time Digital Signals Digital signals 0 (false) or 1 (true) Digital signal 1 is represented by a small voltage. Digital signal 0 is represented by no voltage. Digital Waveforms 1 0 0 1 0 1 1 0 1 (3V) 0 (0V)

  4. Logic Gates An electronic system that performs a logical operation on an input signal Gates process digital inputs to produce digital outputs. How do computer processors make decisions? How do they do math? Display images? Etc.? LOGIC

  5. Symbol 0 1 0 1 NOT (Inverter) Gate A logic gate that changes its input logic level to the opposite state 0 1 1 0 A Y Truth Table: A table listing all possible inputs to a circuit and the corresponding outputs Truth Table NOT Gate

  6. Logic Word Problems • If I am hungry and it is 5:00 p.m., then I will eat dinner. • If I pedal harder or go downhill, then my bike will go faster. • If it is windy and cold, then I am not going to walk home. • If my battery is dead or I forget headphones, then I cannot listen to my music. Each word problem uses the same logic as a common gate.

  7. Symbol AND Gate A logic circuit whose: Inputs both = 1 then, Output = 1 If I am hungry AND it is 5:00 p.m., then I will eat dinner.

  8. 0 1 1 0 1 0 1 0 0 1 0 1 0 0 1 0 0 1 0 1 AND Gate A 0 0 0 1 Y B Truth Table AND Gate

  9. OR Gate A logic circuit when: Either Input = 1 then, Output = 1 If I pedal harder OR go downhill, then my bike will go faster. Symbol

  10. 0 0 1 1 0 1 0 1 0 1 0 1 1 0 1 1 0 1 0 1 OR Gate A 1 0 1 1 Y B Truth Table OR Gate

  11. NAND Gate A logic circuit whose: Inputs both = 1 then, Output = 0 If it is windy AND cold, then I am NOT going to walk home. Symbol

  12. 0 0 1 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 NAND Gate A 1 0 1 1 Y B Truth Table NAND Gate

  13. NOR Gate A logic circuit when: Either Input = 1 then, Output = 0 If my battery is dead OR I forget headphones, then I will NOT listen to my music. Symbol

  14. 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 0 0 1 0 1 NOR Gate A 0 1 0 0 Y B Truth Table NOR Gate

  15. XOR Gate A logic circuit when: If A or B = 1, but not both, then Output = 0 I only have enough money for one friend to go to dinner with me. If either one (but not both) want to go to dinner, we’ll go to dinner. Symbol

  16. 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 XOR Gate A 1 0 0 1 Y B Truth Table XOR Gate

  17. Logic Gates • Digital Signals • Logic Gates • NOT (Inverter) Gate • AND Gate • OR Gate • NAND Gate • NOR Gate • XOR Gate

  18. Image Resources Microsoft, Inc. (2008). Clip Art. Retrieved September 10, 2008, from http://office.microsoft.com/en-us/clipart/default.aspx

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