Lesson 0001: Introduction to Boolean Expression Notation

Boolean algebra is based on Boolean operators. If you happen to have studied algebra, Boolean operators have different symbols for the same meanings of logic operators.

• NOT
  • is a Boolean expression that returns the opposite of the input.
  • For example, if the input, A, is 0, or false, the output will be 1, or true.
  • It is represented by the operator ~ in front of the expression that it means to make negative.
  • It is also represented with a bar:
• AND
  • Is a Boolean operator that unifies two variables.
  • Returns true only when both inputs are true.
  • It is represented by the symbol .
  • A*B can also be represented as AB.
  • For example, .
• OR
  • Is a Boolean operator that gives the output of 1 when either one or both of the outputs are true, or equal to 1.
  • It gives the outout false, or 0, only when both inputs are equal to 0.
  • It is represented by the symbol +.

• NOT
  • The output it true when the input is false.
  • The output is false when the input is true.
• AND
  • The output is true when BOTH of the inputs are true.
  • The output is false when both of the inputs are false, or when either one of the inputs is false.
• OR
  • The output is true when either one of the inputs is true, or when both of the inputs are true.
  • The output is false when both of the inputs are false.