COS126_Lecture21_Circuits notes

COS126_Lecture21_Circuits notes - Lecture 21 Circuits...

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Lecture 21... Audio recording started: 10:02 AM Tuesday, April 23, 2013 In circuits; wires move from left to right? Carries of 1's and 0's NOT = an inverter X and Y in XY out AND gate (only 1 if both 1) OR gate (either 1 or 0 or both 1) 2 input gates can be combined to form multiple gates Boolean function - function whose inputs and outputs are 0 or 1. Truth tables express all the possibilities for boolean outputs. N inputs give 2 N rows Truth tables can be applied to 3 variables or more as well MAJ = majority (most of the inputs are one) [More than half?] Power of 2 number of lines ODD = is the number of 1's of the variables odd (i.e. 1 one or 3 ones or 4 ones) This can be done using AND, OR and NOT Many other can do so (slide 12) Using multiple logic gates, we can make any other logic gate AND is like a multiplication of x and y (i.e. xy) OR is effectively an addition of given stuffs x' is simply NOT(x) - use of an inverter works out here
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  • Fall '08
  • Addition, Logic gate, Least significant bit, general computer science

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