Logic gates represented using Boolean algebra

1. AND Gate:

   • Boolean Expression: Q = A · B
   • Truth Table:

     A	B	Q
     0	0	0
     0	1	0
     1	0	0
     1	1	1

2. OR Gate:

   • Boolean Expression: Q = A + B
   • Truth Table:

     A	B	Q
     0	0	0
     0	1	1
     1	0	1
     1	1	1

3. NOT Gate (Inverter):

   • Boolean Expression: Q = ~A
   • Truth Table:

     A	Q
     0	1
     1	0

4. NAND Gate (AND with NOT):

   • Boolean Expression: Q = ~(A · B)
   • Truth Table:

     A	B	Q
     0	0	1
     0	1	1
     1	0	1
     1	1	0

5. NOR Gate (OR with NOT):

   • Boolean Expression: Q = ~(A + B)
   • Truth Table:

     A	B	Q
     0	0	1
     0	1	0
     1	0	0
     1	1	0

6. XOR Gate (Exclusive OR):

   • Boolean Expression: Q = A ⊕ B
   • Truth Table:

     A	B	Q
     0	0	0
     0	1	1
     1	0	1
     1	1	0

7. XNOR Gate (Exclusive NOR):

   • Boolean Expression: Q = ~(A ⊕ B)
   • Truth Table:

     A	B	Q
     0	0	1
     0	1	0
     1	0	0
     1	1	1