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Next: Boolean Expressions Up: Universality of certain gates Previous: Universality of certain gates Contents
Using NAND gatesNOTFigure 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
What else can I help you with?
How can the XOR operation be implemented using only NAND gates?
The XOR operation can be implemented using only NAND gates by combining multiple NAND gates in a specific arrangement to achieve the desired XOR functionality.
How many gates you can make using universal gates?
Seven gates, they are: not, and, or, nor, nand, xor, xnor.
Minimum Number of NAND gates required to realize the function AB?
A&B = ((A&B)')' So two, it would go a - | ==NAND--=NAND-- b - | By using two NAND gates back-to-back, you can create a normal AND gate.
How OR gate can be realized using NAND gates?
Next: Boolean Expressions Up: Universality of certain gates Previous: Universality of certain gates ContentsUsing NAND gatesNOTFigure 12.10: Realizing a NOT gate using a NAND gateOR 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 12.11Figure 12.11: Realization of OR gate by NAND gatesAND gateFigure 12.12: Realization of AND gate by NAND gatesX-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 gateX-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 gateNext: Boolean Expressions Up: Universality of certain gates Previous: Universality of certain gates Contentsynsingh 2007-07-25
Why NOR gate is called universal gate?
That title of "Universal Gate" is reserved for NAND gates because you can build all possible logic using only NAND logic . You can build even other basic logic like AND, OR and NOT using NAND.
How many NAND gates are required to obtain OR gate?
two nand gates
Define universal gate?
A universal gate is a logic gate that can be used to implement any logic function. The NAND gate and NOR gate are examples of universal gates because any other logic gate can be constructed using only NAND or only NOR gates.
How many NAND gates are required to obtain AND operation?
by multiplying two NAND gates
Why do you design a full adder using OR gate?
You cannot design a full adder using only OR gates. You also need AND gates. Typically, this can be done with just NAND gates.
What is the definition of universal gate?
universal gates are the ones from which we can design other gates also. for eg. NAND and NOR gates. they help in forming the uniformity in the circuits.
There is a circuit using 3 nand gates with 2 inputs and 1 output.f ind the output?
Final answer will be NAND bz from first NAND ans NOT AND then Again NOT ( NOT AND) ans AND then Again NOT ( AND) so final ans will be NAND.
How do you construct D flip-flop using R-S NAND gate?
There is no such thing as an R-S NAND gate.The datasheet for a 7474 IC will give you a schematic for a D flipflop using NAND gates only.
