Electrical Engineering Answers

Using a Karnaugh map, convert the following standard POS expression into a 

a. Minimum Product of Sun (POS) expression, 

b. Standard Sum of Product (SOP) expression 

(𝑨ഥ + 𝑩ഥ + 𝑪 + 𝑫) (𝑨 + 𝑩ഥ + 𝑪 + 𝑫) (𝑨 + 𝑩 + 𝑪ഥ + 𝑫ഥ) (𝑨 + 𝑩 + 𝑪ഥ + 𝑫)

. Determine the sum (c) and the output carry (Cout) of a half-adder when the input bits are 1 and 1. b. A full-adder has Cin = 1. What are the sum (c) and the output carry (Cout) when A = 1 and B = 1? c. With the aid of diagram, what are the sum outputs when 111 and 101 are added by the 3-bit parallel adder?

Using a Karnaugh map, convert the following standard POS expression into a a. Minimum Product of Sun (POS) expression, b. Standard Sum of Product (SOP) expression (𝑨ഥ + 𝑩ഥ + 𝑪 + 𝑫) (𝑨 + 𝑩ഥ + 𝑪 + 𝑫) (𝑨 + 𝑩 + 𝑪ഥ + 𝑫ഥ) (𝑨 + 𝑩 + 𝑪ഥ + 𝑫)

Realize the following Boolean expression using only 8x1 multiplexers.

y = A’B’C + A’BC” + AB’C + ABC

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Find out inverse Laplace transforms of the following provided the

systems assuming a) system is stable, b) assuming system is causal.

2

H(s) -

(5-1)(3-3)

1

H(s) -

(s + 1)(3+3)

1

H(s) =

(s + 1)(-3)

• Find the volume of the solid generated by revolving the area enclosed between the evolute, 27ay^2 = 4(x-2a) ^3 and the parabola, y^2 = 4ax about x-axis.

Show that the area bounded by the curve, (x/2)^2 /3 + (y/4)^2/3 = 1 is 3π.

• Find the area of the surface of the solid formed by the revolution the curve, x=a(θ - sinθ) and Y=a(1- cosθ) about x-axis (y=0).

Find the volume of the solid formed by revolving the curve, r=a(1+cosθ), about the initial line.

Find the volume of the solid generated by revolving about the x-axis by the curve, y2 = 9x and the line y = 3x