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Task 1: You are to design a 4-bit arithmetic unit that consists of a 4-bit adder/subtractor circuit. The arithmetic unit takes as inputs two 4-bit numbers (A and B) and one control input (M) add/subtract selector that selects the type of operation the unit will perform. When the input control is ‘0’, the input numbers are added. When it is set to ‘1’, the two input numbers are subtracted (A - B).


Task 1: Two 4-bit Adder/Subtractor Circuit: Design and construct a 4-bit adder/subtractor circuit. Draw the produced circuit.


Obtain input from a user. ( only 1 input ) and Determine the input as follows ( Letter A - Z, a - z ), Number ( 0 - 9 ), Special. Character )

If the input is a Letter ( determine if ( Vowel or Consonant )

Output the result.


Solve the differential equation of the following linear differential equation. Show complete solution.


x dy/dx + y = x^3


Using the 74LS153 IC, DIP switches and an LED, draw and construct the 4-to-1 line MUX. 


By using the 74LS139 IC, DIP switches and 4 LEDs, draw and construct the 2-to-4 line decoder


Situation 2
An RC circuit with a 1-Ω resistor and a 0.000001-F capacitor is driven by a voltage E t sin 100t V. If the
initial capacitor voltage is zero, determine the subsequent resistor and capacitor voltages and the
current.

Situation 1

A 220-volt battery is connected to a series circuit in which the inductance is 0.5 henry and the resistance

is 68 ohms. Determine the current if the initial current is 4 Amperes.


Situation 2
A tank initially contains 100 gal of brine where there is dissolved 20lb of salt. Starting at time t = 0, a
brine containing 3lb of dissolved salt per gallon flows into the tank at the rate of 6gal/min is kept uniform
by stirring and the well-stirred mixture simultaneously flows out of the tank at a slower rate of 3gal/min.
1. How much salt is present at the end of 15 min?
2. How much salt is present after a long time?
Situation 1
A tank initially contains 100 gal of pure water. Starting at time t = 0, a brine containing 6lb of dissolved
salt per gallon flows into the tank at the rate of 8gal/min is kept uniform by stirring and the well-stirred
mixture simultaneously flows out of the tank at a slower rate of 4gal/min.
1. How much salt is in the tank at the end of 20 min?
2. When is there 50 lb of salt in the tank?
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