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BINARY LOGIC ,[object Object],[object Object]

DIGITAL LOGIC GATES ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

SYMBOLS inverter or and buffer NAND NOR XOR XNOR

INVERTER GATE ,[object Object],V i V o V i V o 0 0 1 1 The output state is always the opposite of the input state

OR GATE ,[object Object],V a V b V o V a V b V o 0 0 1 1 0 1 0 1 0 1 1 1

AND GATE ,[object Object],V a V b V o V a V b V o 0 0 1 1 0 1 0 1 0 0 0 1 When all inputs are low (0), the output is low. The only way to get a high output (1) is to raise all inputs to a high state.

BUFFER ,[object Object],V i V o V i V o = V i V o V i V o 0 1 0 1 The binary value of the output is equal to the binary value of the input.

NAND GATE ,[object Object],V a V b V o V a V b V o 0 0 1 1 0 1 0 1 1 1 1 0 V a V b V o All inputs must be high to produce a low output.

NOR GATE ,[object Object],V a V b V o V a V b V o 0 0 1 1 0 1 0 1 1 0 0 0 V a V b V a V b V o All inputs must be low to produce a high output.

EXCLUSIVE – OR GATE (XOR) ,[object Object],V a V b V o V a V b V o 0 0 1 1 0 1 0 1 0 1 1 0

EXCLUSIVE – NOR GATE (XNOR) ,[object Object],V a V b V o V a V b V o 0 0 1 1 0 1 0 1 1 0 0 1 V a V b V o An XNOR gate is logically equivalent to an XOR gate followed by an inverter.

XNOR Y = AB + AB BUFFER Y = A BOOLEAN EXPRESSIONS

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