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This page provide you Digital Electronics Multiple Choice Question Answer that is very useful for Semester , DRDO, ISRO ,Banking , Railway and another exam.
This MCQs Based Conversion of Number system
Q.1 What is the decimal equivalent of the Hexadecimal number (E1.733)₁₆?
(225.45)₁₀
(535.65)₁₀
(35.754)₁₀
None of these
Explanation
To convert E1.733 to decimal: (1416¹) + (116⁰) + (7/16¹) + (3/16²) + (3/16³) = 224 + 1 + 0.4375 + 0.0117 + 0.0007 ≈ 225.45.
Q.2 What is the decimal equivalent of the Binary number (1101.101)₂?
(13.221)₁₀
(14.625)₁₀
(13.625)₁₀
None of these
Explanation
To convert 1101.101 to decimal: (12³) + (12²) + (02¹) + (12⁰) + (12⁻¹) + (02⁻²) + (1*2⁻³) = 8 + 4 + 0 + 1 + 0.5 + 0 + 0.125 = 13.625.
Q.3 Convert the Octal number (216.32)₈ to Decimal.
(654.234)₁₀
(142.40)₁₀
(140.40)₁₀
None of these
Explanation
To convert 216.32 to decimal: (28²) + (18¹) + (68⁰) + (38⁻¹) + (2*8⁻²) = 128 + 8 + 6 + 0.375 + 0.03125 = 142.40625.
Q.4 What is the decimal equivalent of the Hexadecimal number (A2B.3C1)₁₆?
(2503.23)₁₀
(2603.23)₁₀
(263.23)₁₀
(2603.23)₁₀
Explanation
To convert A2B.3C1 to decimal: (1016²) + (216¹) + (11*16⁰) + (3/16¹) + (12/16²) + (1/16³) = 2560 + 32 + 11 + 0.1875 + 0.0468 ≈ 2603.23.
Q.5 Convert (123.42)₅ to the decimal system.
(37.81)₁₀
(33.28)₁₀
(38.88)₁₀
None of these
Explanation
To convert from base 5: (15²) + (25¹) + (35⁰) + (45⁻¹) + (2*5⁻²) = 25 + 10 + 3 + 0.8 + 0.08 = 38.88.
Q.6 What is the Octal equivalent of the Binary number (1011.1101)₂?
(13.64)₈
(14.68)₈
(23.64)₈
None of these
Explanation
Group bits in threes from the point: (001)(011).(110)(100) in binary becomes 13.64 in octal.
Q.7 Convert the Octal number (124.67)₈ to Binary.
(10100100.1111)₂
(1010100.110111)₂
(101010.110111)₂
None of these
Explanation
Each octal digit is represented by 3 bits: 1=001, 2=010, 4=100, 6=110, 7=111. Combined: 001010100.110111.
Q.8 What is the 4-bit Binary representation of the Hexadecimal digit B?
(1011)
(1001)
(1111)
None of these
Explanation
B in Hexadecimal is 11 in Decimal. 11 in binary is 1011 (8+2+1).
Q.9 Convert the Octal number (124.56)₈ to Hexadecimal.
(34.B8)₁₆
(44.C8)₁₆
(54.B8)₁₆
None of these
Explanation
First convert to binary: 001010100.101110. Then group in fours from the point: (0101)(0100).(1011)(1000) = 54.B8.
Q.10 What is the Binary equivalent of the Hexadecimal number 5D?
01011101
01001101
11011101
None of these
Explanation
5 in binary is 0101 and D (13) is 1101. Combined, they form 01011101.
Q.11 Convert the Hexadecimal number 5A2 to Decimal.
249
1442
23556
None of these
Explanation
Calculation: (5 * 16²) + (10 * 16¹) + (2 * 16⁰) = 1280 + 160 + 2 = 1442.
Q.12 What is the Binary equivalent of the Decimal number 98?
010101
1100011
1100010
None of these
Explanation
Dividing 98 by 2 repeatedly gives remainders that, read in reverse, result in 1100010.
Q.13 Convert the Binary number 10010111 to Hexadecimal.
4D
5D
41A
97
Explanation
Group the binary bits into fours: (1001) (0111). 1001 is 9 and 0111 is 7, so the result is 97.
Q.14 What is the Binary representation of the Hexadecimal value 5BC?
010110111100
0110111001
0101011100
None of these
Explanation
5 = 0101, B = 1011, C = 1100. Combined: 010110111100.
Q.15 If (16)₁₀ = (100)ᵦ, what is the value of the base 'b'?
4
8
5
None of these
Explanation
1b² + 0b¹ + 0*b⁰ = 16. Therefore b² = 16, which means b = 4.
Q.16 If (292)₁₀ = (1204)ᵦ, what is the value of the base 'b'?
242
225
6
None of these
Explanation
Testing base 6: (16³) + (26²) + (06¹) + (46⁰) = 216 + 72 + 0 + 4 = 292. Thus, b = 6.
Q.17 Convert the Hexadecimal number A9 to Binary.
101010
10101001
101010011
None of these
Explanation
A is 1010 and 9 is 1001. Combined, they form the 8-bit string 10101001.
Q.18 What is the Decimal equivalent of the Binary number 1001011?
75
77
85
None of these
Explanation
Calculation: (164) + (032) + (016) + (18) + (04) + (12) + (1*1) = 64 + 8 + 2 + 1 = 75.
Q.19 Convert the Decimal number 109 to Hexadecimal.
6F
6A
6D1
6D
Explanation
109 divided by 16 is 6 with a remainder of 13. Since 13 is represented by ‘D’, the result is 6D.
Q.20 Convert the Decimal number 27 to Binary.
1101
11011
110110
None of these
Explanation
27 can be broken down as 16 + 8 + 2 + 1, which corresponds to the binary positions 2⁴, 2³, 2¹, and 2⁰, resulting in 11011.