# UNIT :ii logic gates

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UNIT :ii LOGIC GATES

BY BHANUDAS NARWADE

ASST. PROF. DEGLOOR COLLEGE,DEGLOOR

LOGIC GATES:

Logic Gate: Is an electronic circuit and are the basic building blocks of digital electronics. It has one or more inputs and only one output. Out put ( 0 or 1) depends on certain combinations of input

BASIC LOGIC GATES: The basic logic gates are NOT, AND and OR DERIVED LOGIC GATES: Derived logic gates are NAND,NOR,X-OR X-NOR Universal gates: NAND, NOR

BASIC GATES:

NOT GATE (INVERTER): NOT also called Inverter Used to complement or invert digital signal To change one logic level to opposite

SYMBOL:

TRUTH TABLE:

BASIC GATES:

AND GATE : Logical multiplication Two or more input and only one output Boolean expression: Y=A.B

SYMBOL:

TRUTH TABLE:

Y

BASIC GATES:

OR GATE : Logical addition Two or more input and only one output Boolean expression: Y=A+B

UNIVERSAL GATES:

NAND GATE : Universal gate due to versatile in nature Two or more input and only one output Boolean expression: Y=AB

UNIVERSAL GATES:

NOR GATE : Universal gate due to versatile in nature Two or more input and only one output Boolean expression: Y=A+B

X-OR GATE:

EXCLUSIVE-OR GATE : Exclusive OR operation widely used in digital circuit Two or more input and only one output Can not be performed using basic gates Boolean expression: Y=A B+A B

EX-NOR GATE:

EXCLUSIVE-NOR GATE : Exclusive NOR is complement of Ex-OR Two or more input and only one output Can not be performed using basic gates Boolean expression: Y=A B+A B

UNIVERSAL PROPERTIES OF NAND:

All digital logic can be performed by using NAND gate 1) NOT from NAND: BY connecting both or all inputs of NAND together For two input NAND Boolean expression is Y=A.A.=A

2) AND using NAND Inverting the output of NAND gate AND operation will be formed

Y=A.B =A.B

BY BHANUDAS NARWADE

ASST. PROF. DEGLOOR COLLEGE,DEGLOOR

LOGIC GATES:

Logic Gate: Is an electronic circuit and are the basic building blocks of digital electronics. It has one or more inputs and only one output. Out put ( 0 or 1) depends on certain combinations of input

BASIC LOGIC GATES: The basic logic gates are NOT, AND and OR DERIVED LOGIC GATES: Derived logic gates are NAND,NOR,X-OR X-NOR Universal gates: NAND, NOR

BASIC GATES:

NOT GATE (INVERTER): NOT also called Inverter Used to complement or invert digital signal To change one logic level to opposite

SYMBOL:

TRUTH TABLE:

BASIC GATES:

AND GATE : Logical multiplication Two or more input and only one output Boolean expression: Y=A.B

SYMBOL:

TRUTH TABLE:

Y

BASIC GATES:

OR GATE : Logical addition Two or more input and only one output Boolean expression: Y=A+B

UNIVERSAL GATES:

NAND GATE : Universal gate due to versatile in nature Two or more input and only one output Boolean expression: Y=AB

UNIVERSAL GATES:

NOR GATE : Universal gate due to versatile in nature Two or more input and only one output Boolean expression: Y=A+B

X-OR GATE:

EXCLUSIVE-OR GATE : Exclusive OR operation widely used in digital circuit Two or more input and only one output Can not be performed using basic gates Boolean expression: Y=A B+A B

EX-NOR GATE:

EXCLUSIVE-NOR GATE : Exclusive NOR is complement of Ex-OR Two or more input and only one output Can not be performed using basic gates Boolean expression: Y=A B+A B

UNIVERSAL PROPERTIES OF NAND:

All digital logic can be performed by using NAND gate 1) NOT from NAND: BY connecting both or all inputs of NAND together For two input NAND Boolean expression is Y=A.A.=A

2) AND using NAND Inverting the output of NAND gate AND operation will be formed

Y=A.B =A.B

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