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Home » You are given two circuits as shown in Figure, which consists of NAND gates. Identify the logic operation carried out by the two circuits.
You are given two circuits as shown in Figure, which consists of NAND gates. Identify the logic operation carried out by the two circuits.
CBSE | Class 12 | NCERT | Physics | Semiconductor Electronics: Materials, Devices and Simple Circuits
You are given two circuits as shown in Figure, which consists of NAND gates. Identify the logic operation carried out by the two circuits.

Solution:

(a) The Boolean expression for NAND gate is given as Y=\overline{A B}

Let the output of the NAND gate be Y^{\prime}.

Therefore, Final output of the combination will be Y=\overline{Y^{\prime} \cdot Y^{\prime}}

\mathrm{Y}=\overline{\overline{\mathrm{A} \cdot \mathrm{B}} \cdot \overline{\mathrm{A.B}}}

Y=\overline{A \cdot B}+\overline{A \cdot B}

Y=A . B

The given circuit acts as an AND gate.

(b) Boolean expression for NOT gate is Y=\bar{A}

For the first NOT gate, the output Y_{1} is \bar{A}

For the second NOT gate, the output Y_{2} is \bar{B}

The output of the combination will be

Y=\overline{Y_{1} \cdot Y_{2}}

Y=\overline{\bar{A} \cdot \bar{B}}

Y=\overline{\bar{A}}+\overline{\bar{B}}

Y=A+B

This is the Boolean expression for OR gate.

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