Which of the following circuits has the same output as that of the given circuit?
The given Boolean logic circuit is shown below, and the corresponding solution is derived step by step.
P = A · B
Q = A · B
Y = P + Q = A · B + A · B
Y = A · (B + B)
Since B + B = B (idempotent law), we have:
Y = A · B
Y = A
The final output of the Boolean expression is:
Y = A
For the circuit shown above, the equivalent gate is:
Consider the following logic circuit.
The output is Y = 0 when :
Two vessels A and B are connected via stopcock. Vessel A is filled with a gas at a certain pressure. The entire assembly is immersed in water and allowed to come to thermal equilibrium with water. After opening the stopcock the gas from vessel A expands into vessel B and no change in temperature is observed in the thermometer. Which of the following statement is true?
Choose the correct nuclear process from the below options:
\( [ p : \text{proton}, n : \text{neutron}, e^- : \text{electron}, e^+ : \text{positron}, \nu : \text{neutrino}, \bar{\nu} : \text{antineutrino} ] \)
Let \( T_r \) be the \( r^{\text{th}} \) term of an A.P. If for some \( m \), \( T_m = \dfrac{1}{25} \), \( T_{25} = \dfrac{1}{20} \), and \( \displaystyle\sum_{r=1}^{25} T_r = 13 \), then \( 5m \displaystyle\sum_{r=m}^{2m} T_r \) is equal to: