LOGIC2_r2 - Chapter 2 Boolean Algebra Microwave &...

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Chapter 2 Boolean Algebra
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X, Y: Variables of switching network 0,1: Two different states of switching network X’, Y’: complement or inverse of state X and Y AND: Denoted by “.” Boolean algebra OR: Denoted by “+” Boolean algebra § Boolean Variable
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(a) Complementation or Inverse 0’=1 , 1’=0 X’=1 if X=0 , X’=0 if X=1 An Inverter (NOT gate) X X’ Complementation is sometimes refered to as the NOT operation since X=1 if X is not equal to 0. § Basic Operations
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(b) AND operation 0 * 0 = 0 0 * 1 = 0 1 * 0 = 0 1 * 1 = 1 Truth Table A B C=A*B AND gate 0 0 0 0 1 0 1 0 0 1 1 1 A B C=A*B
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(c) OR operation 0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 1 Truth Table A B C=A+B 0 0 0 0 1 1 OR gate 1 0 1 1 1 1 A B C=A+B
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(d) Switching application X X=0 switch open X=1 switch closed Two switches in series A B T T = A * B Two switches in parallel A B T T = A + B
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An expression is formed by the application of basic
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LOGIC2_r2 - Chapter 2 Boolean Algebra Microwave &...

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