{"id":41086,"date":"2023-09-19T12:06:11","date_gmt":"2023-09-19T06:36:11","guid":{"rendered":"https:\/\/examdays.com\/blog\/?p=41086"},"modified":"2023-09-19T12:06:51","modified_gmt":"2023-09-19T06:36:51","slug":"nand-gate-truth-table-circuit-diagram-formula-ic-number","status":"publish","type":"post","link":"https:\/\/examdays.com\/blog\/nand-gate-truth-table-circuit-diagram-formula-ic-number\/","title":{"rendered":"NAND Gate Truth Table Circuit Diagram Formula IC Number"},"content":{"rendered":"\n

A NAND gate is a particular type of logic gate in a digital logic circuit that is the opposite of an AND gate. It is a combination of AND and NOT gates and is a commonly used logic gate. It is a “universal” gate in Boolean algebra because it can generate all other logic gates. That means all basic gates like AND, OR, and NOT gates can be constructed using the NAND gate.<\/p>\n\n\n\n

NAND gate is a combination of a NOT-AND gate. A NAND gate output state is low only when all inputs are high. This gate returns the complement result of an AND gate. A logic or Boolean expression for a NAND gate is either a full stop or the complement of logical multiplication of inputs represented by a single dot.<\/p>\n\n\n\n

(A.B)’=Y<\/p>\n\n\n\n

NAND GATE<\/h2>\n\n\n\n

A NAND gate has a single output and one or more inputs. The output of a NAND gate is always at logic one and goes to logic 0 only when all inputs to the NAND gate are at logic 1. The output of a NAND gate is always true for at least one of its inputs. It remained wrong. The function of a NAND gate is sometimes called the Scheffer stroke function.<\/p>\n\n\n\n

Types of AND Gate:<\/strong><\/p>\n\n\n\n

2-input NAND Gate<\/h3>\n\n\n\n

A given logic or Boolean expression for a logic NAND gate is the opposite of an AND gate and operates on the complements of the inputs. Its Boolean expression is represented by a single dot or full stop symbol, ( . ) with a line or overline, ( \u203e\u203e ) returns a Boolean expression to describe the NOT or logical negation of the NAND gate on the expression: A.B = Pr.<\/p>\n\n\n\n

Design of 2-Input NAND Gate:<\/strong><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

NAND GATE Truth Table<\/h2>\n\n\n\n
Input<\/td>Input<\/td>Output<\/td><\/tr>
A<\/td>B<\/td>Y<\/td><\/tr>
0<\/td>0<\/td>1<\/td><\/tr>
0<\/td>1<\/td>1<\/td><\/tr>
1<\/td>0<\/td>1<\/td><\/tr>
1<\/td>1<\/td>0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

The expression for this 2-input logic NAND gate is Q = A.B<\/p>\n\n\n\n

3-input NAND Gate:<\/h3>\n\n\n\n

In addition to the AND function seen earlier, the NAND function can have any number of individual inputs, and commercially available NAND gate ICs are available in standard 2, 3, or 4 input types. If additional inputs are required, for example, traditional NAND gates can be cascaded together to provide more inputs.<\/p>\n\n\n\n

Design of 3-Input NAND Gate:<\/strong><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Truth Table of 3-Input NAND Gate:<\/strong><\/p>\n\n\n\n

Input<\/td>Input<\/td>Output<\/td><\/tr>
A<\/td>B<\/td>Y<\/td><\/tr>
0<\/td>0<\/td>1<\/td><\/tr>
0<\/td>1<\/td>1<\/td><\/tr>
1<\/td>0<\/td>1<\/td><\/tr>
1<\/td>1<\/td>1<\/td><\/tr>
1<\/td>0<\/td>1<\/td><\/tr>
1<\/td>0<\/td>1<\/td><\/tr>
1<\/td>1<\/td>1<\/td><\/tr>
1<\/td>1<\/td>0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

The expression for this 3-input logic NAND gate is Q = A.B.C<\/p>\n\n\n\n

Multiple input NAND Gate<\/h3>\n\n\n\n

Similar to AND, NOT, and OR gates, we can design an n-input NAND gate. If the number of inputs is odd, any “unused” input can be kept high by connecting that to the power supply using high “matching” pull-up resistors. A 4-input NAND gate has the following expression:<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The expression for this 4-input logic NAND gate is Q = A.B.C.D<\/p>\n\n\n\n

The number of inputs is odd, but any \u201cunused\u201d inputs can be made redundant by connecting them to the power supply using suitable \u201cpull-up\u201d resistors.<\/p>\n\n\n\n

Why NAND gate is a universal gate?<\/strong><\/p>\n\n\n\n

OR, AND, and NOT gates are the basic gates in electronic physics. We can create any logic gate or any boolean expression by combining the combination of these gates.<\/p>\n\n\n\n

But NOR gates and NAND gates have the specific property that anyone can generate any logical Boolean expression if designed appropriately, so they are called universal gates.<\/p>\n\n\n\n

To realize complex equations using only a NAND gate, first, simplify the equation to the simplest possible form and, if necessary, design the circuit using a NAND gate using Demorgon’s rule.<\/p>\n\n\n\n

For example, you want to realize AB+CD using a NAND gate.<\/p>\n\n\n\n

AB+CD=((AB)'(CD)’)’<\/p>\n\n\n\n

This is easily realized using a NAND gate.<\/p>\n\n\n\n

Difference between NAND gate vs NOR gate.<\/strong><\/h2>\n\n\n\n
     <\/strong>NAND<\/strong><\/td>                                   NOR<\/strong><\/td><\/tr>
NAND gate is the combination of NOT gate and AND gate.<\/td>NOR gate is a combination of NOT and OR gate.<\/td><\/tr>
The output of a NAND gate is the complement of the product of the input.<\/td>The NOR gate output is the sum complement of the input.<\/td><\/tr>
NAND gate is bubbled rather than a gate.<\/td>NOR gate bubble or gate.<\/td><\/tr>
In a NAND gate, the output is high if any input is low.<\/td>Output is high when both inputs of the NOR gate are low.<\/td><\/tr>
In a NAND gate, if all inputs are high, then the input is low.<\/td>In a NOR gate, the output is low if any input is high.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Table Of Contents<\/div><\/div>