XOR and XNOR Logic Gates. XOR Function Output Y is TRUE if input A OR input B are TRUE Exclusively,...

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XOR and XNOR Logic Gates

Transcript of XOR and XNOR Logic Gates. XOR Function Output Y is TRUE if input A OR input B are TRUE Exclusively,...

Page 1: XOR and XNOR Logic Gates. XOR Function Output Y is TRUE if input A OR input B are TRUE Exclusively, else it is FALSE. Logic Symbol Description Truth.

XOR and XNOR Logic Gates

Page 2: XOR and XNOR Logic Gates. XOR Function Output Y is TRUE if input A OR input B are TRUE Exclusively, else it is FALSE. Logic Symbol Description Truth.

XOR FunctionOutput Y is TRUE if input A OR input B are TRUE Exclusively, else it is FALSE.

Logic Symbol

Description

Truth Table

Boolean Expression

INPUTS OUTPUT

A B Y 0 0 0 1 1 0 1 1

XOR Gate Truth Table

Y =

A

BYXOR

Y = Equivalent Expression

Page 3: XOR and XNOR Logic Gates. XOR Function Output Y is TRUE if input A OR input B are TRUE Exclusively, else it is FALSE. Logic Symbol Description Truth.

XNOR FunctionOutput Y is FALSE if input A OR input B are TRUE Exclusively, else it is TRUE.

Logic Symbol

Description

Truth Table

Boolean Expression

INPUTS OUTPUT

A B Y 0 0 0 1 1 0 1 1

XNOR Gate Truth Table

A

BYXNOR

Y =Equivalent Expression

Y =

Page 4: XOR and XNOR Logic Gates. XOR Function Output Y is TRUE if input A OR input B are TRUE Exclusively, else it is FALSE. Logic Symbol Description Truth.

Binary Half-Adder

Single BitHalf-Adder

A

B

SUM

0 0

+

0 0

1 01 1

A B SUM

0 1

0 1

+

1 0

+

1 1

+

CARRY

Carry

Page 5: XOR and XNOR Logic Gates. XOR Function Output Y is TRUE if input A OR input B are TRUE Exclusively, else it is FALSE. Logic Symbol Description Truth.

Binary Half-Adder with AOI Logic

Single BitHalf-Adder

A

B

SUM 0 0

1 01 1

A B SUM

0 1

OR

A NOT

AND

ANDB NOT

SUM

CARRY

AND CARRY

Carry

Page 6: XOR and XNOR Logic Gates. XOR Function Output Y is TRUE if input A OR input B are TRUE Exclusively, else it is FALSE. Logic Symbol Description Truth.

Binary Half-Adder with XOR Logic

Single BitHalf-Adder

A

B

SUM 0 0

1 01 1

X Y SUM

0 1CARRY

Carry

SUM

A

BCARRY


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