logic gate

53
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Slide 1

?

1870

?

:

TRUE

True =High =1

False = Low = 0 1 0 (Union), (Intersection), (Inversion) ,

AND

OR

NOT

NAND

NOR

XOR

XNOR

TRUE TRUE

1= ,0=

TRUE

15AND (ANSI/IEEE Standard )

-- F A,B,C,N HIGH HIGH

AND

17 AND 1= ,0=

Truth Table of AND GateInput AInput BOutput YLOW (0)LOW (0)LOW (0)LOW (0)HIGH (1)LOW (0)HIGH (1)LOW (0)LOW (0)HIGH (1)HIGH (1)HIGH (1)19Y = A . BY= 0 * 0 = 0Y = A . BY= 0 * 1 = 0Y = A . BY= 1 * 0 = 0Y = A . BY= 1 * 1 = 1

AND GATE20

A =B =HIGHHIGHLOWLOWAND 3

ABCABC00000010010001101000101011001111NOT NOT

1 0, 0 1 NOT

NOT

NOT

NOT

NOT TRUE

NOT GATE

A =HIGHLOW26OR OR 1 1 OR X Y OR F F=X+Y

+ OR

OR

Truth Table of OR GateInput AInput BOutput YLOW (0)LOW (0)LOW (0)LOW (0)HIGH (1)HIGH (1)HIGH (1)LOW (0)HIGH (1)HIGH (1)HIGH (1)HIGH (1)Y = A + BY= 1 + 1 = 1Y = A + BY= 1 + 0 = 1Y = A + BY= 0 + 1 = 1Y = A + BY= 0 + 0 = 030

OR GATE

A =B =HIGHHIGHLOWLOW31NAND NAND NOT AND

AND 1s complement

NAND 0 1

A B Y

(.) AND NOT

NAND

Truth Table of NAND GateInput AInput BOutput YLOW (0)LOW (0)HIGH (1)LOW (0)HIGH (1)HIGH (1)HIGH (1)LOW (0)HIGH (1)HIGH (1)HIGH (1)LOW (0)

35

NAND GATE

A =B =HIGHHIGHLOWLOW36NOR OR NOT NOR OR 1s complement 0 1 NOR NOR A B Y

+ OR NOT

NOR

Truth Table of NOR GateInput AInput BOutput YLOW (0)LOW (0)HIGH (1)LOW (0)HIGH (1)LOW (0)HIGH (1)LOW (0)LOW (0)HIGH (1)HIGH (1)LOW (0)

40

NOR GATE

A =B =HIGHHIGHLOWLOW41XOR XOR Exclusive-OR 0 1 1 0 1 0 XOR XOR A B Y

XOR NOT

XOR

Truth Table of XOR Gate

Input AInput BOutput YLOW (0)LOW (0)LOW (0)LOW (0)HIGH (1)HIGH (1)HIGH (1)LOW (0)HIGH (1)HIGH (1)HIGH (1)LOW (0)

45

EX-OR GATE

A =B =HIGHHIGHLOWLOW46XNOR XNOR Exclusive-NOT OR 0 1 0 0 1 1 XNOR XOR A B Y

XNOR NOT

XNOR

Truth Table of XNOR Gate

Input AInput BOutput YLOW (0)LOW (0)HIGH (1)LOW (0)HIGH (1)LOW (0)HIGH (1)LOW (0)LOW (0)HIGH (1)HIGH (1)HIGH (1)

50

EX-NOR GATE

A =B =HIGHHIGHLOWLOW51 TRUE ,,