Binary Logic
binary logic consist of  binary variables and a set of logical expression.The variables are designated
by letters of the alphabet such as A,B,C,x,y,z,etc variable having two and only two distinct values

AND:
this operation is represented by a dot or absence of operator
Example:
x.y=z or xy=z
it is read as xandY EQUAL TO Z.Z equal to 1 if and only if x=1 and y=1 otherwise z=0x,y,z is binary variable must be 1 or 0 nothing else

 

OR:

this operation is represented by a plus sign

Example:x+y=z and read as x OR y is equal to z means that z=1 if x=1 and or if y=1 otherwise z=0

NOT:
this operation is represented by a bar or prime
EXAMPLE:
x'=x mean that x not equal to x tht is if x'=1 then x=0