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Three resistors A, B and C are connected in parallel and take a total of 7.9 amp. Resistor A takes 2.5 amp and has a resistance of 48 ohms; also, the current through B is twice as much as that through C. Calculate (a) la and Ic, (b) the line voltage and (c) Rs and Rc.

Implement the following logic function using a Multiplexer having three select lines.

F(P,Q,R,S) = PQ̅R + QRS̅ + PQR̅



Implement:

i) Full-Adder

ii)Full-Subtractor

in a Active High output Decoder Circuit and 2-input NAND Gates.


Design a 4-bit combinational circuit 2’s complimenter. (The output generates 2’s

compliment of input binary number.) Show that the circuit can be constructed with XOR

gates.


Design a Combinational circuit using 2-input basic gates only which has three inputs A, B

& C and three outputs X, Y & Z. When the decimal equivalent of the binary input is 0, 1, 5

or 3, the decimal equivalent of the binary output is one greater than the input and when

decimal equivalent of the binary input is 4, 2, 6 or 7, the decimal equivalent of the binary

output is one less than the input.


What is the difference between ‘Ripple carry adder’ and ‘Look-ahead carry adder’ explain

in brief.

‘A 4-bit adder circuit could be used to convert BCD codes to Excess-3 codes’.

Justify this statement using proper circuit diagram in brief.


What is the difference between ‘Ripple carry adder’ and ‘Look-ahead carry adder’ explain in brief. ‘A 4-bit adder circuit could be used to convert BCD codes to Excess-3 codes’. Justify this statement using proper circuit diagram in brief.

Find inverse Laplace transform of:

G(s)= S / (S+1) (S+1+j1)^2 (S+1-j1)^2

Solve step by step and briefly.


You are provided with the BC547 transistor and E24 series of resistors, along with a voltage supply of 10 V. If the transistor can be assumed to have a 𝛽 = 200, design a common-emitter amplifier to the following specifications:

a. The amplifier should be biased in the middle of the active region.

b. A sinusoidal output of amplitude 1 V should be obtained when a sinusoidal input of amplitude 10 mV and frequency 10 kHz, is applied from a source of resistance 5 kΩ. 


6. A 72-ohm coil of wire is connected in series with an adjustable resistor(rheostat) whole resistance can be varied from 0 to 99 ohms. If the line is 115 volts, calculate (a) the range through which the coil current can be varied, (b) the rheostat resistance when the power taken by the coil is 90 watts.

 

The answer should be:0.72 to 1.6 amp

 

7. Using the given data of Prob. 6, calculate the power taken by the coil when the voltage drops across rheostat and coil are equal.

The answer should be: 45.8 watts



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