Advertisements
Advertisements
प्रश्न
Let \[X = A \overline{ BC} + B\overline{ CA} + C\overline{AB } .\] Evaluate X for A = 1, B = 0, C = 1.
Advertisements
उत्तर
Given:
Output
\[X = A \overline{ BC} + B\overline{ CA} + C\overline{AB } .\]
A = 1, B = 0, C = 1
\[X = 1 . ( \overline{{0 . 1)}} + 0 . ( \overline{{1 . 1)}} + 1 . ( \overline{{1 . 0)}}\]
\[ = 1 . \bar{0} + 0 . \bar{1} + 1 . \bar{0}\]
\[ = 1 . 1 + 0 . 0 + 1 . 1\]
\[ = 1 + 0 + 1\]
\[ = 1 + 1\]
\[ = 1\]
APPEARS IN
संबंधित प्रश्न
Which logic gate corresponds to the truth table given below?
|
A |
B |
Y |
|
0 |
0 |
I |
|
0 |
1 |
0 |
|
1 |
0 |
0 |
|
1 |
1 |
0 |
The following figure shows the input waveforms (A, B) and the output waveform (Y) of a gate. Identify the gate, write its truth table and draw its logic symbol.
You are given the two circuits as shown in following figure. Show that circuit
- acts as OR gate while the circuit
- acts as AND gate.
(a)
(b)
You are given two circuits as shown in following figure, which consist of NAND gates. Identify the logic operation carried out by the two circuits.
(a)
(b)
Write the truth table for the circuits given in following figure consisting of NOR gates only. Identify the logic operations (OR, AND, NOT) performed by the two circuits.
(a)
(b)
Draw the schematic symbols for AND, OR, NOT and NAND gate
Give the truth table and circuit symbol for NAND gate
Answer the following question :
Distinguish between digital and analogue signals.
The following figure shows the input waveforms (A, B) and the output waveform (Y) of a gate. Identify the gate, write its truth table and draw its logic symbol.
The output of an OR gate is connected to both the inputs of a NAND gate Draw the logic circuit of this combinaion of getes and write its truth table.
An AND gate can be prepared by repetitive use of
(a) NOT gate
(b) OR gate
(c) NAND gate
(d) NOR gate.
Design a logical circuit using AND, OR and NOT gates to evaluate \[A \overline { BC } + B \overline{ CA }\] .
Draw a diagram to show how NAND gates can be combined to obtain an OR gate. (Truth table is not, required)
Useful Constants and Relations:
| 1. | Charge of a proton | (e) | =1.6 × 10-19C |
| 2. | Planck's constant | (h) | = 6·6 × 10-34 Js |
| 3. | Mass of an electron | (m) | = 9·1× 10-31 kg |
| 4. | Permittivity of vacuum | (∈0) | =8 · 85 × 10-12 Fm-1 |
| 5. | `(1/(4pi∈_0))` | =9 ×109 mF-1 | |
| 6. | Permeability of vacuum | (μ0) | = 4π × 10-7 Hm-1 |
| 7. | `((mu_0)/(4pi))` | =1 × 10-7 Hm-1 | |
| 8. | Speed of light in vacuum | (c) | = 3× 108 ms-1 |
| 9. | Unified atomic mass unit | (u) |
= 931 MeV |
| 10. | Electron volt | (leV) | = 1.6 × 10-19 J |
You are given a circuit as shown in the figure, which consists of the NAND gate. Identify the logic operation carried out by the two. Write the truth table. Identify the gates equivalent to the tow circuit.
NAND and NOR gates are called universal gates primarily because they ______.
The current obtained from a simple filterless rectifier is
The Boolean expression for NAND gate is
In potential barrier development in a junction diode opposes
Which logic gate is similar to a function of two series switches?
An X-OR gate has following truth table:
| A | B | Y |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
It is represented by following logic relation `Y = barA.B + A.barB`. Build this gate using AND, OR and NOT gates.
