# Which logic gates are universal?

## Which logic gates are universal?

The NAND and NOR gates are universal gates. In practice, this is advantageous since NAND and NOR gates are economical and easier to fabricate and are the basic gates used in all IC digital logic families.

**Why are NAND gates universal?**

The NAND gate and the NOR gate can be said to be universal gates since combinations of them can be used to accomplish any of the basic operations and can thus produce an inverter, an OR gate or an AND gate. The non-inverting gates do not have this versatility since they can’t produce an invert.

### Is XOR a universal gate?

You can’t derive an OR (or AND, NOR, NAND) gate from only XOR (or XNOR) gates, because they are not universal gates. Here is an argument against XOR and XNOR as universal gates. An XOR gate is a parity generator. Cascading parity generators always produce parity generators.

**What is the Boolean expression for NAND gate?**

The Boolean expression for a logic NAND gate is denoted by a single dot or full stop symbol, ( . ) with a line or Overline, ( ‾‾ ) over the expression to signify the NOT or logical negation of the NAND gate giving us the Boolean expression of: A.B = Q.

#### How basic gates can be realize using universal gates?

By using only NOR gates, we can realize all logic functions: AND, OR, NOT, X-OR, X-NOR, NAND. So this gate is also called universal gate. The output of a two input X-NOR gate is shown by: Y = AB + A’B’. This can be achieved with the logic diagram shown in the left side.

**Which gate is also called inverter?**

NOT gate

NOT gate is also called inverter circuit.

## How can we implement AND gate using NAND gate?

AND: You can create an AND gate by using two NAND gates. The first NAND gate does what NAND gates do: returns LOW if both inputs are HIGH and returns HIGH if both inputs are anything else. Then the second NAND gate is configured as a NOT gate to invert the output from the first NAND gate.

**How does a NAND gate work?**

In digital electronics, a NAND gate (NOT-AND) is a logic gate which produces an output which is false only if all its inputs are true; thus its output is complement to that of an AND gate. A LOW (0) output results only if all the inputs to the gate are HIGH (1); if any input is LOW (0), a HIGH (1) output results.

### How many NAND gates are required for XOR?

four NAND gates

XOR. An XOR gate is made by connecting four NAND gates as shown below.

**What is the truth table AND Boolean expression of NAND gate?**

The symbol of the NAND gate is represented as a combination of AND gate and NOT gate. The Boolean expression is given as Y=¯A. B.

#### Which gates are referred to as universal gates AND why how other gates can be implemented by using one of these gates?

In Boolean Algebra, the NAND and NOR gates are called universal gates because any digital circuit can be implemented by using any one of these two i.e. any logic gate can be created using NAND or NOR gates only. Every logic gate has a representation symbol.

**¿Cuáles son las puertas básicas?**

Las puertas AND, NOT y OR son las puertas básicas; nosotrospuede crear cualquier puerta lógica o cualquier expresión booleana combinándolas. Ahora las compuertas NOR y NAND tienen la propiedad particular de que cualquiera de ellas puede crear cualquier expresión lógica booleana si está diseñada adecuadamente.

## ¿Cuál es la diferencia entre la compuerta y la and?

Esta compuerta es diferente a la AND, basta con que una de las entradas este en estado alto para que automáticamente la salida pase a estar en estado alto, “Si condición uno O condición dos O condición tres entonces la salida sera verdadera”. En términos simbólicos a la operación se la conoce con el símbolo +.

**¿Qué es una compuerta lógica?**

Una compuerta lógica es un dispositivo electrónica que en función de los valores de entrada otorga un resultado o una salida determinada, son la base de la electrónica digital.