XOR and XNOR Logic Gates - Super Substitute Teachers

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Transcript XOR and XNOR Logic Gates - Super Substitute Teachers

XOR and XNOR Logic Gates
XOR Function
Description 
Logic Symbol 
Output Y is TRUE if input A OR input B are TRUE
Exclusively, else it is FALSE.
A
XOR
B
INPUTS
Truth Table 
Y
A
0
0
1
1
B
0
1
0
1
OUTPUT
Y
XOR Gate Truth Table
Equivalent Expression
Y=
Boolean Expression  Y =
XNOR Function
Description 
Logic Symbol 
Output Y is FALSE if input A OR input B are TRUE
Exclusively, else it is TRUE.
A
XNOR
Y
B
INPUTS
Truth Table 
A
0
0
1
1
B
0
1
0
1
OUTPUT
Y
XNOR Gate Truth Table
Equivalent Expression
Y=
Boolean Expression  Y =
Binary Half-Adder
A
B
Single Bit
Half-Adder
0
+ 0
A
0
0
1
1
SUM
CARRY
0
+ 1
1
+ 0
B SUM Carry
0
1
0
1
1
+ 1
Binary Half-Adder with AOI Logic
A
B
A
Single Bit
Half-Adder
SUM
CARRY
B SUM
0
1
0
1
NOT
AND
OR
B
A
0
0
1
1
NOT
SUM
AND
AND
CARRY
Carry
Binary Half-Adder with XOR Logic
A
B
Single Bit
Half-Adder
SUM
CARRY
A
SUM
CARRY
B
X
0
0
1
1
Y SUM
0
1
0
1
Carry