Advertisements
Advertisements
Question
Design a logical circuit using AND, OR and NOT gates to evaluate \[A \overline { BC } + B \overline{ CA }\] .
Solution
\[X = A \overline{{BC}} + B \overline{{CA}}\]
\[ = A( \overline{B} + \overline{C}) + B( \overline{C} + \bar{A})\]
\[ = A \overline{B} + A \overline{C} + B \overline{C} + B \overline{A}\]
\[ = A \overline{B} + \overline{C}(A + B) + B \overline{A}\]
APPEARS IN
RELATED QUESTIONS
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.
Write the truth table for the combination of the gates shown. Name the gates used.
Write the truth table for circuit given in figure below consisting of NOR gates and identify the logic operation (OR, AND, NOT) which this circuit is performing.
(Hint: A = 0, B = 1 then A and B inputs of second NOR gate will be 0 and hence Y=1. Similarly work out the values of Y for other combinations of A and B. Compare with the truth table of OR, AND, NOT gates and find the correct one.)
You are given a circuit below. Write its truth table. Hence, identify the logic operation carried out by this circuit. Draw the logic symbol of the gate it corresponds to.
Let \[X = A \overline{ BC} + B\overline{ CA} + C\overline{AB } .\] Evaluate X for A = 1, B = 0, C = 1.
The amplification factor of a triode operating in the linear region depends strongly on ____________ .
(i) Write the truth tables of the logic gates marked P and Q in the given circuit.
(ii) Write the truth table for the circuit.
With the help of a diagram, show how you can use several NAND gates to obtain an OR gate.
Useful Constants and Relations :
| 1. Speed of Light in Vacuum | (c) = 3.00 x 108 m/s |
| 2. Charge of a proton | (e) = 1.60 x 10-19C |
| 3. Planck's Constant | (h) = 6.6 x 10-34 Js |
| 4. Permeability of vacuum | (μ0) = 4π x 10-7 Hm-1 |
| 5. Electron Volt | (1eV ) = 1.6 x 10 |
| 6. Unified Atomic Mass Unit | (1u) = 931 MeV |
| (π) = 3.14 | |
| ( ln 2 ) = 0.693 |
The outputs of two NOT gates are fed to a NOR gate. Draw the logic circuit of the combination of gates. Write its truth table. Identify the gate equivalent to this circuit.
You are given circuit as shown in the figure, which consists of NAND gate. Identify the logic operation carried out by the two. Write the truth table. Identify the gates equivalent to the tow circuits.
The output of 2-input or gate is zero only when its
An oscillator is nothing but an amplifier with
In potential barrier development in a junction diode opposes
For the given circuit, the input digital signals are applied at terminals A, B, and C. What would be the output at terminal y?
Write the truth table for the circuit shown in figure. Name the gate that the circuit resembles.
Draw the output signals C1 and C2 in the given combination of gates (Figure).
In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, the output at Y would be 'x'. The value of x is ______.
Which of the following gives a reversible operation?
Which one of the following is the Boolean expression for NOR gate?
