Implement the following Boolean equation using fundamental gates: Y = ABC + A'B'C' + A'C'B.

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Convert the following Boolean equation to standard SOP form and implement using NAND-NAND logic: (i) y = A'B'C' + ABC'D' + A'C'D' (ii) y = PQ + P'QR + PQR.

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Solve the following using Taylor’s Series Method (up to 3 terms): \[ \frac{dy}{dx} = x^2 + y, \quad y(0) = 1 \] Find \( y(0.2) \).

Solve the following using Taylor’s Series Method (up to 3 terms): \[ \frac{dy}{dx} = x^2 + y, \quad y(0) = 1 \] Find \( y(0.2) \).
Answer : #### **Solution:** 1. **Taylor Series Expansion:** The Taylor series expansion of \( y(x) \) around \( x = 0 \) is: \[ y(x) = y(0) + x \frac{dy}{dx} \bigg|_{x=0} + \frac{x^2}{2!} \frac{d^2y}{dx^2} \ ... + 0.004 \] \[ = 1.224 \] **Final Answer: \( y(0.2) \approx 1.224 \)**. ---...

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How does a class AB amplifier differ from a class B amplifier?

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What is the difference between a class AB and class C amplifier?

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State the type of insulating materials under Class Y and Class B. (any two each).

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Which MCB is best for home B or C?

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Is the superposition theorem applicable only to networks that are a linear b nonlinear c time invariant d passive?

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Which MCB is best B type or C type?

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State functions of the following parts of d.c motor: (i) Pole shoe (ii) Commutator (iii) Brushes (iv) Yoke.

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What is the purpose of a stator earth fault protection scheme using fundamental frequency injection?

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Solve the first-order PDE using Lagrange’s method \[ p + q = x + y \] where \( p = \frac{\partial z}{\partial x} \) and \( q = \frac{\partial z}{\partial y} \).

Solve the first-order PDE using Lagrange’s method \[ p + q = x + y \] where \( p = \frac{\partial z}{\partial x} \) and \( q = \frac{\partial z}{\partial y} \).
Answer : #### **Solution:** 1. **Given PDE:** \[ p + q = x + y \] which can be rewritten as: \[ \frac{\partial z}{\partial x} + \frac{\partial z}{\partial y} = x + y \] 2. **Using Lagrange's ... \( C_1 = x - y \), \[ z = y^2 + (x-y)y + C_2 \] which is the general solution....

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What is b in the Maxwell equation?

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What is the fundamental equation for Helmholtz?

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What is the equation for the fundamental matrix?

What is the equation for the fundamental matrix?
Answer : The fundamental matrix, often denoted as \(\Phi(t)\), is a solution to the system of first-order linear differential equations: \[ \frac{d\mathbf{x}}{dt} = A(t) \mathbf{x}(t) \] where \( ... you to write the general solution of the system as a linear combination of the columns of \(\Phi(t)\)....

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What is the fundamental equation of the derivative?

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What is the fundamental solution of Laplacian equation?

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A single phase AC distributor AB 300 M long is fed from end A and is loaded as under.

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Which of the following is two dimensional Laplace equation?

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State ABC analysis related to energy audit.

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What is a Boolean gate?

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Is true or false in Boolean?

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What is a Boolean truth table?

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Is zero true in Boolean?

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What are the 12 rules of Boolean algebra?

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Where is Boolean defined?

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Is Boolean yes or no?

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What is Boolean called?

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Who made Boolean?

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Explain Boolean processor of 8051.

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Write any two laws of Boolean algebra. Justify with the help of truth table.

Write any two laws of Boolean algebra. Justify with the help of truth table.
Answer : Here are two important laws of Boolean algebra, along with their truth tables: ### 1. **The Commutative Law** - **Statement**: The order of the operands does not affect the result. - ** ... operations. - The **Identity Law** shows that ANDing with 1 or ORing with 0 leaves the value unchanged....

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