Is Xnor a universal gate?
An XNOR gate circuit can be made from four NOR gates. In fact, both NAND and NOR gates are so-called “universal gates” and any logical function can be constructed from either NAND logic or NOR logic alone.
What is Minterm and maxterm?
A maxterm is a Boolean expression resulting in a 0 for the output of a single cell expression, and 1s for all other cells in the Karnaugh map, or truth table. Thus we place our sole 0 for minterm (A+B+C) in cell A,B,C=000 in the K-map, where the inputs are all 0 .
Which are universal gates?
A universal gate is a gate which can implement any Boolean function without need to use any other gate type. 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 NAND & NOR gates are called universal gates?
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.
What is truth table in logic gates?
The table used to represent the boolean expression of a logic gate function is commonly called a Truth Table. 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).
How many NAND gates are required to make an OR gate?
three NAND gates
What is the symbol of 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.
Which is a tautology?
A tautology is a compound statement which is true for every value of the individual statements. For example for any two given statements such as x and y, (x ⇒ y) ∨ (y ⇒ x) is a tautology.
How do you prove a NAND gate is a universal gate?
Implementing OR Using only NAND Gates An OR gate can be replaced by NAND gates as shown in the figure (The OR gate is replaced by a NAND gate with all its inputs complemented by NAND gate inverters). Thus, the NAND gate is a universal gate since it can implement the AND, OR and NOT functions.
Which are basic gates?
All digital systems can be constructed by only three basic logic gates. These basic gates are called the AND gate, the OR gate, and the NOT gate. Some textbooks also include the NAND gate, the NOR gate and the EOR gate as the members of the family of basic logic gates.
What is the difference between NAND and NOR gate?
NOR circuit basics. A NAND gate is conceptually implemented as an AND gate — output 1 when both inputs are 1 — followed by a NOT gate, which is a logical inversion. Likewise, a NOR gate is conceptually an OR gate — output 1 when either input is 1 followed by the NOT gate, which is a logical inversion.
Is there an XAND gate?
The XAND Gate stands for “exclusive and” referring to its architecture as a logic gate wherein a positive output is only achieved if both inputs are equal. The XAND gate works synonymously as the XNOR gate, also called the equivalence gate. Logic gates are widely applicable, and commonly found in modern electronics.