21. The output F in the digital logic circuit shown in the figure is

22. Following is the K-map of a Boolean function of five variables P, Q, R, S and X. The minimum sum-of-product (SOP) expression for the function is

23. Y = A ⊕ B ⊕ A, where ⊕ represents XOR, is equal to:
24. Match List-I with List-II and select the correct answer using the options given below the lists
List-I
List-II
a. 45
1. 10110100
b. 90
2. 11010010
c. 180
3. 01011010
d. 210
4. 00101101
5. 10101000
List-I | List-II |
a. 45 | 1. 10110100 |
b. 90 | 2. 11010010 |
c. 180 | 3. 01011010 |
d. 210 | 4. 00101101 |
5. 10101000 |
25. A 4-bit R/2R digital-to-analog (DAC) converter has a reference of 5 volts. What is the analog output for the input code 0101?
26. An expression $${\text{f}} = \overline {\overline {{\text{AB}}} + \overline {\text{A}} + {\text{AB}}} $$ can be reduced to
27. In Boolean Algebra, A(A + B') is equivalent to:
28. Choose the correct one from among the alternatives A, B, C, D after matching an item from List-I with the most appropriate item in List-II
List-I
List-II
a. Shift register
1. Frequency division
b. Counter
2. Addressing in memory chips
c. Decoder
3. Serial to parallel data conversion
List-I | List-II |
a. Shift register | 1. Frequency division |
b. Counter | 2. Addressing in memory chips |
c. Decoder | 3. Serial to parallel data conversion |
29. A full adder circuit is constructed from two 2 input Ex OR gates, two 2-input AND gate and a
30. Which one of the following logical operations is performed by the digital circuit shown below?

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