Create the circuit diagram of AND ,NOT, and NOR gate with the help of NAND gate. (It's urgent)
Answers
Explanation:
The NAND (Not – AND) gate has an output that is normally at logic level “1” and only goes “LOW” to logic level “0” when ALL of its inputs are at logic level “1”. The Logic NAND Gate is the reverse or “Complementary” form of the AND gate we have seen previously.
Logic NAND Gate Equivalence
logic nand gate
The logic or Boolean expression given for a logic NAND gate is that for Logical Addition, which is the opposite to the AND gate, and which it performs on the complements of the inputs. 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.
Then we can define the operation of a 2-input digital logic NAND gate as being:
“If both A and B are true, then Q is NOT true”
Transistor NAND Gate
A simple 2-input logic NAND gate can be constructed using RTL Resistor-transistor switches connected together as shown below with the inputs connected directly to the transistor bases. Either transistor must be cut-off “OFF” for an output at Q.
2-input transistor nand gate
Logic NAND Gates are available using digital circuits to produce the desired logical function and is given a symbol whose shape is that of a standard AND gate with a circle, sometimes called an “inversion bubble” at its output to represent the NOT gate symbol with the logical operation of the NAND gate given as.
The Digital Logic “NAND” Gate
2-input Logic NAND Gate
Symbol Truth Table
2-input logic NAND gate
2-input NAND Gate
B A Q
0 0 1
0 1 1
1 0 1
1 1 0
Boolean Expression Q = A.B Read as A AND B gives NOT Q
3-input Logic NAND Gate
Symbol Truth Table
3-input logic NAND gate
3-input NAND Gate
C B A Q
0 0 0 1
0 0 1 1
0 1 0 1
0 1 1 1
1 0 0 1
1 0 1 1
1 1 0 1
1 1 1 0
Boolean Expression Q = A.B.C Read as A AND B AND C gives NOT Q
As with the AND function seen previously, the NAND function can also have any number of individual inputs and commercial available NAND Gate IC’s are available in standard 2, 3, or 4 input types. If additional inputs are required, then the standard NAND gates can be cascaded together to provide more inputs for example.
A 4-input NAND Function
4-input nand function
The Boolean Expression for this 4-input logic NAND gate will therefore be: Q = A.B.C.D
If the number of inputs required is an odd number of inputs any “unused” inputs can be held HIGH by connecting them directly to the power supply using suitable “Pull-up” resistors.
The Logic NAND Gate function is sometimes known as the Sheffer Stroke Function and is denoted by a vertical bar or upwards arrow operator, for example, A NAND B = A|B or A↑B.