DIGITAL ELECTRONIC// DIGITAL CIRCUIT IMPORTANT QUESTION

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1. Which one of the following expressions does NOT represent exclusive NOR of x and y? 

(a) xy + x’ y’ 

(b) x ^ y’ where ^ is XOR

 (c) x’ ^ y where ^ is XOR

 (d) x’ ^ y’ where ^ is XOR

2.The simplified SOP (Sum Of Product) form of the boolean expression (P + Q’ + R’) . (P + Q’ + R) . (P + Q + R’) is 

(a) (P’.Q + R’)

 (b) (P + Q’.R’)

 (c) (P’.Q + R) 

(d) (P.Q + R) 

3. Consider the data given in previous question. If all the flip-flops were reset to 0 at power on, what is the total number of distinct outputs (states) represented by PQR generated by the counter? 

(a) 3

 (b) 4 

(c) 5 

(d) 6

 4. The minterm expansion of f(P, Q, R) = PQ + QR’ + PR’ is

 (a) m2 + m4 + m6 + m7 

(b) m0 + m1 + m3 + m5 

(c) m0 + m1 + m6 + m7 

(d) m2 + m3 + m4 + m5 

5. What is the minimum number of gates required to implement the Boolean function (AB+C) if we have to use only 2-input NOR gates?

 (a) 2 

(b) 3 

(c) 4 

(d) 5 

6. Let r denote number system radix. The only value(s) of r that satisfy the equation √121r = 11r is/are

 (a) decimal 10 

(b) decimal 11

 (c) decimal 10 and 11

 (d) any value > 2 

17. If P, Q, R are Boolean variables, then (P + Q’)(PQ’ + PR)(P’R’ + Q’) simplifies:

 (a) PQ’ 

(b) PR’ 

(c) PQ’ + R

 (d) PR” + Q 

18. How many 3-to-8 line decoders with an enable input are needed to construct a 6-to-64 line decoder without using any other logic gates? 

(a) 7

 (b) 8

 (c) 9

 (d) 10 

19. Consider the following Boolean function of four variables: f(w,x,y,z) = ∑(1,3,4,6,9,11,12,14) The function is:

 (a) independent of one variables.

 (b) independent of two variables. 

(c) independent of three variables.

 (d) dependent on all the variables.

 20. Let f(w, x, y, z) = ∑(0, 4, 5, 7, 8, 9, 13, 15). Which of the following expressions are NOT equivalent to f? 

(a) x’y’z’ + w’xy’ + wy’z + xz 

(b) w’y’z’ + wx’y’ + xz 

(c) w’y’z’ + wx’y’ + xyz + xy’z 

(d) x’y’z’ + wx’y’ + w’y 

                                              

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