| 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 |
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Answer: (d).x' ^ y' where ^ is XOR
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| 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) |
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Answer: (b).(P + Q'.R')
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| 3. | 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 |
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Answer: (a).m2 + m4 + m6 + m7
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| 4. | 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 |
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Answer: (b).3
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| 5. | 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 |
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Answer: (a).PQ'
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| 6. | 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 |
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Answer: (c).9
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| 7. | 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 |
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Answer: (b).independent of two variables
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| 8. | 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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Answer: (d).x'y'z' + wx'y' + w'y
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| 9. | Define the connective * for the Boolean variables X and Y as: X * Y = XY + X' Y'. Let Z = X * Y. Consider the following expressions P, Q and R. P: X = Y⋆Z Q: Y = X⋆Z R: X⋆Y⋆Z=1 Which of the following is TRUE? |
| a. | Only P and Q are valid |
| b. | Only Q and R are valid |
| c. | Only P and R are valid |
| d. | All P, Q, R are valid |
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Answer: (d).All P, Q, R are valid
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| 10. | Suppose only one multiplexer and one inverter are allowed to be used to implement any Boolean function of n variables. What is the minimum size of the multiplexer needed? |
| a. | 2^n line to 1 line |
| b. | 2^(n+1) line to 1 line |
| c. | 2^(n-1) line to 1 line |
| d. | 2^(n-2) line to 1 line |
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Answer: (c).2^(n-1) line to 1 line
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