Basic Logic Gates for All your Digital Designs

All digital circuits and logic systems are designed with the help of the truth table. The truth table calculator plays an important role in the design and development of digital systems. Many a times, people puzzle with complicated math problems, which can be solved using a simple truth table generator. This is because the primary goal of any truth table calculator is to simplify problems and come up with solutions. The logic gates involve a series of symbols. Based on the input, and the computational logic the output differs. Thus, the functionality of any electric device depends on how the logic gates are configured. Five important connectives are used by logic gates. And, the truth table is based on these connectives.

AND or Conjunction The AND gate comprises of two inputs. And, it generates a single output. For the output to be true, both the inputs should be true. Even if one of the inputs is false, the final output becomes false. This conjunction has only one condition for a “true” output.

OR or Disjunction The OR gate comprises of two inputs, just like the AND gate. The gate produces a single output. For the output to be false, both the inputs need to be false. Even if one of the inputs is true, the output becomes true. Disjunction has only a single condition for a “false” output.

NAND As suggested by its symbol, this logic gate is used to negate the result of AND. The logic gate takes two inputs, and generates a single output. When both the inputs are false, the output is true. For the output to be false, both the inputs need to be true. Thus, even if one of the inputs is true, the output is true.

NOR The NOR gate is a negation of the OR gate. It takes two inputs, and produces a single output. If both the inputs are false, the output is true. If any of the inputs are true, the output equates to false.

NOT or Negation As suggested by its name, this logic gate negates any input provided to it. Unlike the other logic gates, this requires only a single input. If the input to this gate is true, the output becomes false. And, if the input is false, the output becomes true. This logic gate produces only a single output.

XOR The XOR gate is an exclusive gate, which takes two inputs and generates a single output. For this gate to produce a result of “true”, both the inputs should be different. Hence, if two ones or two zeros are given as an input, the result is false.