Happy Birthday, George Boole
Today marks the 200th birthday of George Boole.
Who?
George Boole was an English professor and researcher who, while teaching at Queen’s College in Cork, Ireland (now University College Cork), set forth the underpinnings for what we refer to now as Boolean Logic. Boolean Logic is the basis for modern electronic circuitry and programming. Claude Shannon in the 1930s would take the concepts and apply them in circuitry to build the initial binary circuits leading towards computers.
The basic operations are:
The basic operations of Boolean algebra are as follows.
- And (conjunction), denoted x∧y (sometimes x AND y or Kxy), satisfies x∧y = 1 if x = y = 1 and x∧y = 0 otherwise.
- Or (disjunction), denoted x∨y (sometimes x OR y or Axy), satisfies x∨y = 0 if x = y = 0 and x∨y = 1 otherwise.
- Not (negation), denoted ¬x (sometimes NOT x, Nx or !x), satisfies ¬x = 0 if x = 1 and ¬x = 1 if x = 0.
If the truth values 0 and 1 are interpreted as integers, these operations may be expressed with the ordinary operations of arithmetic:
Obviously, GorT is well-versed in it and really enjoys boolean algebra to the point that he took a class in it during his undergraduate Computer Science degree program (it was actually taught out of the mathematics department).
For our younger readers out there, it is well worth a look and consideration as it can be applied in many ways and helps in a variety of fields.
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