Logical algebra is also called switch algebra or Boolean algebra.

Logical operation:

(1) logical addition: A+B=C or A∨B=C,

When at least one of A and B is 1, C= 1.

When a and b are not 1, C=0.

Addition table: 0+0=0

0+ 1= 1,

1+0= 1

1+ 1=0(0 means on, 1 means off)

(2) logical multiplication: A×B=C or a ∨ b = c.

When a and b are both temporary, C= 1,

C=0 when at least one of A and B is 0.

Multiplication table:

0×0=0,

0× 1=0

1×0=0,

1× 1= 1

(3) Logical negation: 0 (with bars on it) = 1, 1 (with bars on it) =0.

Meaning: A bar above 0 indicates (not 0), so it can only be 1.

Basic relationship:

A+0=A，A 0=0

A+ 1= 1，A 1=A

A+A=A，A A=A

A+A (plus one above) = 1, A A (one) =0.

A (plus the above two) = a.

A+B=B+A，AB=BA，

(A+B)+C=A+(B+C)

AB+AC=A(B+C)

A+AB=A，A(A+B)=A

There are some not commonly used ones, so I won't list them one by one.