(1) (TCO 6 and 7) Which of the following Boolean expression represents a 3-input

Question

(1) (TCO 6 and 7) Which of the following Boolean expression represents a 3-input AND gate?

(i) A'.B'.C'

      -------------

  (2)   A +B+C

     ---------------

   (3) A . B . C

             -----------

    (4)    A . B . C .

(2) (TCO 2) What size resistor is required to limit the current from a 10 V battery to 1 mA?

     (1) 10 ohms

      (2) 100 ohms

      (3) 1.0 kohms

      (4) 10 kohms

(3) A two resistor voltage divider is used to produce 3.0V from a 6.0V source, which of the following resistor values will work?

      (i) 1 kohms, 2 kohms

      (ii) 1 kohms, 1 kohms

      (iii) 2 kohms, 1 kohms

      (iv) 1 komhs, 0.5 kohms

Explanation / Answer

1. And gate operation is shown by "." so three input and gate output is A.B.C 2. Current = Voltage/ resistor Resistor= voltage/ current Resistor= 10/1*10^-3 = 10*10^3 Ohm = 10kohm 3. here we want half of the voltage. so we as volatge across voltage divider is V_out= V_in *(R1/R1+R2) given V_out = V_in/2 so R1 +R2 = 2R1 R2 = R1 so answer is ii) Option 1kohm, 1kohm

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