Electronics/Basic gates
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Basic Gates
[edit | edit source]There are 5 basic gates used in performing logic operations in Digital Electronic namely BUFFER gate, NOT gate, AND gate, OR gate, XOR gate . Each Logic Gate has A Symbol for easy to identify , a Mathematical Expression to identify mathematic logic operation and a Truth Table to completely describe operation of the Logic Gate
Five Basic Logic Gates
[edit | edit source]Digital gates Symbol Logic Operation Mathematic Expression BUFFER Y = BUFFER A Y = A NOT Y = NOT A Y = AND Y = A AND B Y = A . B OR Y = A OR B Y = A + B XOR Y = A XOR B Y =
The Truth Table of the five basic logic gates above
A B Q = A Q = NOT A Q = A AND B Q = A OR B Q = A XOR B 0 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 0 1 1 0
Complement of Basic Logic gates
[edit | edit source]Basic Gates Combination Gates Symbol Mathematical Expression BUFFER Q = is NOT NOT A
Y = ANOT Y = is NOT A NAND Q = NOT A AND B NOR Y = NOT A OR B XNOR Q = NOT A XOR B
The Truth table of the combination gates above
A B Q = A Q = NOT A Q = A NAND B Q = A NOR B Q = A XNOR B 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1
Summary
[edit | edit source]Gates Function Symbol ANSI IEC Buffer NOT gate (Inverter) AND gate NAND gate (NOT−AND) OR gate NOR gate (NOT−OR) XOR gate (Exclusive-OR) XNOR gate (NOT−exclusive−OR)
A B Q = A Q = NOT A Q = A AND B Q = A OR B Q = A XOR B Q = A NAND B Q = A NOR B Q = A XNOR B 0 0 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 1