Digital Logic Circuits and Discrete Mathematical Structures Topic Wise Pyq

61. Find X and Y:
(11X1Y)₈ = (12C9)₁₆ में X और Y क्या हैं?
(BPSC TRE 2023)
A. 5,1
B. 5,7
C. 3,1
D. None

Correct Answer: C

Explanation (EN): Solve → X = 3, Y = 1

Explanation (HI): समीकरण हल करने पर → X = 3, Y = 1

62. Which number equals its own 2’s complement?
कौन-सा number अपने 2’s complement के बराबर है?
(BPSC TRE 2023)
A. 1010
B. 0101
C. 1000
D. None

Correct Answer: C

Explanation (EN): 2’s complement of 1000 = 1000

Explanation (HI): 1000 का 2’s complement = 1000

63. Number of 1’s in binary of expression:
Expression के binary रूप में 1 की संख्या कितनी होगी?
(BPSC TRE 2023)
A. 15
B. 9
C. 12
D. None

Correct Answer: B

Explanation (EN): Expression expands into powers of 2 → total 9 terms

Explanation (HI): Expression में 2 की powers हैं → कुल 9 terms

64. Match the following:
निम्न का मिलान कीजिए
(UGC NET 2024)
B. Explanation (English):

Correct Answer: B

Explanation (EN): Correct match: Binary → Hex Complement → Negative Parity → Error detection CISC → Variable length

Explanation (HI): सही मिलान: Binary → Hex Complement → Negative Parity → Error detection CISC → Variable length

65. Hamming distance between 10101 and 11110:
10101 और 11110 के बीच Hamming distance क्या है?
(UGC NET 2024)
A. 2
B. 3
C. 4
D. 5

Correct Answer: B

Explanation (EN): Different bits = 3

Explanation (HI): अलग bits = 3

66. Code with 1-bit change between successive numbers:
ऐसा code जिसमें successive values में केवल 1 bit बदलता है?
(DSSSB TGT 2021)
A. ASCII
B. Hamming
C. Gray
D. BCD

Correct Answer: C

Explanation (EN): Gray code has single-bit change property

Explanation (HI): Gray code में एक ही bit बदलता है

67. Sign bit representation:
Sign bit के बारे में सही कथन कौन-सा है?
(DSSSB TGT 2021)
A. Only I
B. Only II
C. Both
D. None

Correct Answer: C

Explanation (EN): 0 = positive 1 = negative

Explanation (HI): 0 = positive 1 = negative

68. Convert (21121)₃ into base 4:
(21121)₃ को base 4 में बदलें
(DSSSB TGT 2021)
A. 2023
B. 3032
C. 2112
D. 3031

Correct Answer: D

Explanation (EN): Convert to decimal → 205 Then to base 4 → 3031

Explanation (HI): पहले decimal में बदलें (205), फिर base 4 में → 3031

69. 1 picosecond =
1 पिकोसेकंड = ?
(DSSSB TGT 2021)
A. 10⁻⁹
B. 10⁻¹²
C. 10⁻¹⁵
D. 10⁻¹⁸

Correct Answer: B

Explanation (EN): 1 picosecond = 10⁻¹² seconds

Explanation (HI): 1 पिकोसेकंड = 10⁻¹² सेकंड

70. Statements correctness:
कथनों की सत्यता जाँचें
(DSSSB TGT 2021)
A. Only I
B. Only II
C. Both
D. None

Correct Answer: C

Explanation (EN): Both statements are correct after conversion

Explanation (HI): दोनों कथन सही हैं

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