![]() ![]() The following Boolean Algebra truth tables gives a list of the common logic functions and their equivalent Boolean notation. The following Boolean ALgebra Truth Tables compare the logical functions of the 2-input logic gates above. Symbolįor a 2-input Ex-NOR gate, the output Q is true if BOTH input A and input B are the same, either true or false, giving the Boolean Expression of: ( Q = (A and B) or (NOT A and NOT B) ). However, as they are widely used functions they are now available in standard IC form and have been included here as reference.įor a 2-input Ex-OR gate, the output Q is true if EITHER input A or if input B is true, but NOT both giving the Boolean Expression of: ( Q = (A and NOT B) or (NOT A and B) ). The switching actions of both of these types of gates can be created using the above standard logic gates. The Boolean expression to indicate an Exclusive-OR or Exclusive-NOR function is to a symbol with a plus sign inside a circle, ( ⊕ ). SymbolĪs well as the standard logic gates there are also two special types of logic gate function called an Exclusive-OR Gate and an Exclusive-NOR Gate. Symbolįor a 2-input NOR gate, the output Q is true if BOTH input A and input B are NOT true, giving the Boolean Expression of: ( Q = not(A OR B) ). 2-input NAND (Not AND) Gateįor a 2-input NAND gate, the output Q is NOT true if BOTH input A and input B are true, giving the Boolean Expression of: ( Q = not(A AND B) ). The NAND and the NOR Gates are a combination of the AND and OR Gates respectively with that of a NOT Gate (inverter). Symbolīoolean Algebra Truth Tables For The NOT Gateįor a single input NOT (Inverter) gate, the output Q is ONLY true when the input is “ NOT” true, the output is the inverse or complement of the input giving the Boolean Expression of: ( Q = NOT A ). Boolean Algebra Truth Tables For A 2-input OR Gateįor a 2-input OR (Inclusive-OR) gate, the output Q is true if EITHER input A “ OR” input B is true, giving the Boolean Expression of: ( Q = A or B ). Note that the Boolean Expression for a two input AND gate can be written as: A.B or just simply AB without the decimal point. Then the four possible combinations of A and B for a 2-input logic gate is given as: However, when dealing with Boolean expressions and especially logic gate truth tables, we do not general use “ON” or “OFF” but instead give them bit values which represent a logic level “1” or a logic level “0” respectively. There are “four” possible input combinations or 2 2 of “OFF” and “ON” for the two inputs. A logic gate truth table shows each possible input combination to the gate or circuit with the resultant output depending upon the combination of these input(s).įor example, consider a single 2-input logic circuit with input variables labelled as A and B. The table used to represent the boolean expression of a logic gate function is commonly called a Truth Table. The Models can be run anywhere and anytime.As well as a standard Boolean Expression, the input and output information of any Logic Gate or circuit can be plotted into standard Boolean Algebra truth tables to give a visual representation of the switching function of the system. Java applets are generated for running a model – no runtime licence is necessary.High flexibility and unlimited expansion possibilities due to operating system-independant native Java environment.Makes it possible to design various types of models with one single tool: agent-based, system dynamic, event-oriented, continuous or dynamic models.Reduction of development costs and -times: fast integration of pre-configured simulation elements with the comprehensive object libraries.Read more about why you should simulate with AnyLogic. With this software, almost all corporate fields of application can be represented, as for example production, logistics, business processes, market and competitors, and supply chain. These methods can also be combined at will within one model. ![]() ![]() This means that AnyLogic supports system dynamics as well as process-oriented (discrete event) and agent-based methodologies. AnyLogic is a very flexible, dynamic simulation tool developed by The AnyLogic Company, suitable for all fields and business areas where simulation methods are commonly applied. ![]()
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