The correct truth table for the given input data of the following logic gate is :
| Inputs | Output | |||
|---|---|---|---|---|
| A | B | C | D | Y |
| 1 | 1 | 0 | 1 | 0 |
| 0 | 0 | 1 | 1 | 0 |
| 1 | 0 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 | 1 |
To determine the correct truth table for the given logic gate circuit, let's analyze it step-by-step:
- The circuit consists of a series of logic gates involving two inputs (A and B) passing through a NAND gate, two other inputs (C and D) passing through an OR gate, and the outputs of these gates passing through another NAND gate.
- The final output is then passed through a NOT gate to produce the result Y.
Let's simplify this step-by-step to find the output for different input combinations:
- NAND Gate (Inputs A & B): The NAND gate will output 0 if both inputs are 1, and 1 otherwise.
- OR Gate (Inputs C & D): The OR gate will output 1 if at least one input is 1, and 0 if both are 0.
- Final NAND Gate: Takes inputs from the previous NAND and OR gates. It outputs 1 if at least one input is 0, and 0 if both are 1.
- NOT Gate: It inverts the output of the final NAND gate.
Now we apply the above logic to each of the input combinations:
| Inputs | Output | ||||
|---|---|---|---|---|---|
| A | B | C | D | Y | |
| 1 | 1 | 0 | 1 | 0 | |
| 0 | 0 | 1 | 1 | 0 | |
| 1 | 0 | 1 | 0 | 1 | |
| 1 | 1 | 1 | 1 | 1 | |
Comparing all options, the correct truth table for the given inputs and circuit logic matches the one provided:
| Inputs | Output | |||
|---|---|---|---|---|
| A | B | C | D | Y |
| 1 | 1 | 0 | 1 | 0 |
| 0 | 0 | 1 | 1 | 0 |
| 1 | 0 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 | 1 |
Similar Questions
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Important Questions from Modern Physics
Assuming in forward bias condition there is a voltage drop of $0.7 \text{ V}$ across a silicon diode, the current through diode $D_1$ in the circuit is ________$\text{mA}$.
(Assume all diodes in the given circuit are identical)- The ratio of de Broglie wavelength of a deutron with kinetic energy $E$ to that of an alpha particle with kinetic energy $2E$, is $n : 1$. The value of $n$ is ________.
(Assume mass of proton = mass of neutron) : - The wave numbers of three spectral lines of H atom are considered. Identify the set of spectral lines belonging to Balmer series.
(R = Rydberg constant) - 7.9 MeV $\alpha$-particle scatters from a target material of atomic number 79. From the given data the estimated diameter of nuclei of the target material is (approximately) _________ m.
$\left[ \frac{1}{4\pi\epsilon_0} = 9 \times 10^9 \text{ Nm}^2/\text{C}^2 \text{ and electron charge} = 1.6 \times 10^{-19} \text{ C} \right]$ Find the correct combination of A, B, C and D inputs which can cause the LED to glow.
