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Semiconductor Electronics : Materials Devices and Simple Circuits — Physics STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 SciencePhysicsSemiconductor Electronics : Materials Devices and Simple Circuits4 Marks
Question
Using only NAND gate make combination diagrams to obtained NOT, AND and OR gates.
✓

Answer

(1) To obtain Basic Gates from NAND Gates :
To obtain NOT gate from NAND gate: When the two inputs of a NAND gate are connected with each other they become a single input. In this condition, NAND gate behaves as a NOT gate Fig. 1.
Image
This can be explained as follows :
"In NAND gate output is high when both or either of the inputs are low and output is low when both the inputs are high."
But here A = B, hence we have
Image
(2) To obtain AND gate from NAND gates : By using two NAND gates interconnected in the following manner an AND gate can be obtained (Fig. 2).
Image
With the help of truth table this can be explained as follows :
Image
(3) To obtain OR gate from NAND gate : By using three NAND gates interconnecting in the following manner an OR gate can be obtained [Fig. (3)].
Thus $Y =\overline{\overline{ A }} \cdot \overline{\overline{ B }} \Rightarrow Y = A + B$
Image
This can be explained with the help of truth table as follows :
Image

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