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  1. What is the second iterative value of the root of te-t – 0.3 = 0 using the bisection method, given an initial value of [1,5].
  2. What is the absolute relative approximate error at the end of the iteration, given that the beginning of an iteration is the lower and upper guesses of the root are xl and xu. use bisection method to find the root of f(x) = 0.
  3. Solve the square root of R from the equation x2 – R = 0, using the Newton-Raphson Method.
The total charge entering a terminal is given by 1 = (10 – 10e^(-2t))mC. Calculate the current at t = 0.5s
Two 12-V batteries with internal resistance of 0.20 ohms and 0.25 ohms respectively are joined in parallel and a resistor of 1.0 ohms resistor is placed across the terminals. Find the current ?

A battery of 10 volts emf and points internal resistance of 0.50 ohms is connected in parallel with another battery of 12 volts and internal resistance of 0.80 ohms. The terminals are connected to an external load resistance of 20 ohms. What is the load current?


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.


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