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Next: Boolean Expressions Up: Universality of certain gates Previous: Universality of certain gates Contents

Using NAND gatesNOT

Figure 12.10: Realizing a NOT gate using a NAND gate

OR The following statements are called DeMorgan's Theorems and can be easily verified and extended for more than two variables.

(12.1)(12.2)


(12.3)(12.4)In general: (12.5)Thus :(12.6)


Now it is easy to see that , which can be checked from the truth table easily. The resulting realization of OR gate is shown in 12.11

Figure 12.11: Realization of OR gate by NAND gates

AND gateFigure 12.12: Realization of AND gate by NAND gates

X-OR gate

(12.7)


Clearly, this can be implemented using AND, NOT and OR gates, and hence can be implemented using universal gates.

Figure 12.13: X-OR gate

X-NOR gate

(12.8)


Again, this can be implemented using AND, NOT and OR gates, and hence can be implemented using universal gates, i.e., NAND or NOR gates.

Figure 12.14: X-NOR gate

Next: Boolean Expressions Up: Universality of certain gates Previous: Universality of certain gates Contentsynsingh 2007-07-25

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Alexandro Russel

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2y ago
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13y ago

A NAND gate produces as output the inversion of the AND operation on it's inputs. So, since an AND gate only has high output when all inputs are high, a NAND gate will only have low output when all it's inputs are high. The NAND gate is particularly significant because NAND is a complete set in terms of logic operations, that is, with only NAND gates, you can simulate any logic function.

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12y ago
NAND GatesThink of a NAND gate as an AND gate in series with an inverter. The output of an AND gate is True if, and only if, allthe inputs are True. Hence, the output of a NAND gate is False when all its inputs are True.

NAND gates are particularly useful in combinational logic circuits because simple AND-OR combinations can be simulated with an equal number of NAND gates alone.

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11y ago

A -> nand -> a'

b -> nand -> b'

a' b' -> nand -> a+b

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13y ago

The NAND gate's output is inverted with respect to the AND gate. NAND is short for "Not AND" or "Negated AND"

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11y ago

A NAND gate is an inverted (Negated) AND. It has a truth table as follows:

A B C

0 0 1

0 1 1

1 0 1

1 1 0

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15y ago

what are nand and nor gate

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13y ago

not

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Q: The OR gate can be converted to the NAND function by adding----gate to the input of the OR gate?
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The OR gate can be converted to the NAND function by adding which gate to the input of the OR gate?

NOT Gate


When is that the 'NAND' logic gate can function as a 'NOT' logic gate?

When the two input terminals of a NAND gate are short circuited, it acts as a NOT gate.


How NAND gate works?

A: NAND implies not and to be true both input must be hi or true <> There are two flavors of NAND gate. The positive input/negative output NAND will have a low output if and only if both inputs are high. The negative input/positive output NAND will have a high output if and only if both inputs are low.


What is the basic function of IC mc74hc132n?

That package contains four 2-input NAND gates with Schmitt-trigger inputs.


How many minimum NOR gates is required to implement NAND gate?

A 2 input NAND gate requires 4 NOR gates.A 3 input NAND gate requires 5 NOR gates.A 4 input NAND gate requires 6 NOR gates.etc.


Can nand be inhibitted or disabled?

I suppose so. If a three input NAND is used as a two input device, the third input can be viewed as an inhibit input. Also some NAND devices can be "3 stated" where the output goes to a high impedance.


What are the characteristics of ttl nand gate?

A: It is simply a function of negating a true input, the other characteristics s that it is limited in fan-in fan -out capabilities


Give two ways of converting a two input NAND gate to an inverter?

Connect both inputs of the NAND gate together to form a single input. Tie one input of the NAND gate to a logic high (Vcc) and connect the other input to the desired input signal.


Why XOR and XNOR gate is not known as universal gates?

All other logic gates can be made using XOR and XNOR, but to get NOT, you need to do (input) XOR 1 or (input) XNOR 0, but with NAND, you don't need 1: (input) NAND (input).


How can you replace a NOT function by using NAND gate?

Short the inputs together. Logic: A High input, with the inputs shorted together, will be H+H at the input side of the NAND gate, therefore resulting in a low output. A Low input, with both inputs shorted together, is L+L for inputs, resulting in a High output. Also, a NOR gate can be used in exactly the same way.


How do you make a nand gate using xor gate?

XORing X with 1 gives X', i.e., NOT(X). If we are able to construct a NAND (AND) using XOR, we can also obtain AND (NAND) from it, which makes XOR a universal gate since inverted inputs to a NAND (AND) will give OR (NOR). However XOR is not a universal gate! Therefore we cannot obtain NAND (AND) using XOR. :-) By, Tirtha Sarathi Ghosh Class 10 IIT Kanpur Aspirant


Can nand gate be connect with other nand gates to form the function of an or gate?

yes (a or b)' = a' and b' a or b = (a' and b')' a or b = a' nand b'