[PDF] [PDF] Lecture 11 - Logic gates and Boolean

equivalent Shown here are example of truth tables for logic gate with 2, 3 and 4 inputs Write the Boolean expression for a six-input OR gate Answer: 



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The Boolean expression xy is equivalent to the expression x * y and is read “x and y ” The behavior of this operator is characterized by the truth table shown in 



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equivalent Shown here are example of truth tables for logic gate with 2, 3 and 4 inputs Write the Boolean expression for a six-input OR gate Answer: 



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2The basic logic gates arethe inverter (or NOT gate), the AND gate, the OR gate and the exclusive-OR gate (XOR). If you put an inverter in front of the AND gate, you get the NAND gate etc.

3One ofthe common tool in specifying a gate function is the truth table. All possible combination of the inputs A, B ... etc, are enumerated, one row for each possible combination. Then a column is used to show the corresponding output value.If two ligic circuits share identical truth table, they are functionally equivalent.Shown here are example of truth tables for logic gate with 2, 3 and 4 inputs.

4Here we show fivedifferent representation of the OR gate or OR function. They are:1.Schematic diagram in a logic symbol2.Truth table3.Boolean expression4.Timing diagram5.Expressionin programming language (e.g. Python)In summary, OR operation produces as result of 1 whenever any input is 1. Otherwise 0.An OR gate is a logic circuit that performs an OR operation on the circuit's input.The expression x=A+B is read as quotesdbs_dbs17.pdfusesText_23