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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?
A)
(225.45)₁₀
B)
(535.65)₁₀
C)
(35.754)₁₀
D)
None of these
Discuss it
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.
View Solution Q.2 What is the decimal equivalent of the Binary number (1101.101)₂?
A)
(13.221)₁₀
B)
(14.625)₁₀
C)
(13.625)₁₀
D)
None of these
Discuss it
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.
View Solution Q.3 Convert the Octal number (216.32)₈ to Decimal.
A)
(654.234)₁₀
B)
(142.40)₁₀
C)
(140.40)₁₀
D)
None of these
Discuss it
Explanation
To convert 216.32 to decimal: (28²) + (18¹) + (68⁰) + (38⁻¹) + (2*8⁻²) = 128 + 8 + 6 + 0.375 + 0.03125 = 142.40625.
View Solution Q.4 What is the decimal equivalent of the Hexadecimal number (A2B.3C1)₁₆?
A)
(2503.23)₁₀
B)
(2603.23)₁₀
C)
(263.23)₁₀
D)
(2603.23)₁₀
Discuss it
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.
View Solution Q.5 Convert (123.42)₅ to the decimal system.
A)
(37.81)₁₀
B)
(33.28)₁₀
C)
(38.88)₁₀
D)
None of these
Discuss it
Explanation
To convert from base 5: (15²) + (25¹) + (35⁰) + (45⁻¹) + (2*5⁻²) = 25 + 10 + 3 + 0.8 + 0.08 = 38.88.
View Solution Q.6 What is the Octal equivalent of the Binary number (1011.1101)₂?
A)
(13.64)₈
B)
(14.68)₈
C)
(23.64)₈
D)
None of these
Discuss it
Explanation
Group bits in threes from the point: (001)(011).(110)(100) in binary becomes 13.64 in octal.
View Solution Q.7 Convert the Octal number (124.67)₈ to Binary.
A)
(10100100.1111)₂
B)
(1010100.110111)₂
C)
(101010.110111)₂
D)
None of these
Discuss it
Explanation
Each octal digit is represented by 3 bits: 1=001, 2=010, 4=100, 6=110, 7=111. Combined: 001010100.110111.
View Solution Q.8 What is the 4-bit Binary representation of the Hexadecimal digit B?
A)
(1011)
B)
(1001)
C)
(1111)
D)
None of these
Discuss it
Explanation
B in Hexadecimal is 11 in Decimal. 11 in binary is 1011 (8+2+1).
View Solution Q.9 Convert the Octal number (124.56)₈ to Hexadecimal.
A)
(34.B8)₁₆
B)
(44.C8)₁₆
C)
(54.B8)₁₆
D)
None of these
Discuss it
Explanation
First convert to binary: 001010100.101110. Then group in fours from the point: (0101)(0100).(1011)(1000) = 54.B8.
View Solution Q.10 What is the Binary equivalent of the Hexadecimal number 5D?
A)
01011101
B)
01001101
C)
11011101
D)
None of these
Discuss it
Explanation
5 in binary is 0101 and D (13) is 1101. Combined, they form 01011101.
View Solution Q.11 Convert the Hexadecimal number 5A2 to Decimal.
A)
249
B)
1442
C)
23556
D)
None of these
Discuss it
Explanation
Calculation: (5 * 16²) + (10 * 16¹) + (2 * 16⁰) = 1280 + 160 + 2 = 1442.
View Solution Q.12 What is the Binary equivalent of the Decimal number 98?
A)
010101
B)
1100011
C)
1100010
D)
None of these
Discuss it
Explanation
Dividing 98 by 2 repeatedly gives remainders that, read in reverse, result in 1100010.
View Solution Q.13 Convert the Binary number 10010111 to Hexadecimal.
Discuss it
Explanation
Group the binary bits into fours: (1001) (0111). 1001 is 9 and 0111 is 7, so the result is 97.
View Solution Q.14 What is the Binary representation of the Hexadecimal value 5BC?
A)
010110111100
B)
0110111001
C)
0101011100
D)
None of these
Discuss it
Explanation
5 = 0101, B = 1011, C = 1100. Combined: 010110111100.
View Solution Q.15 If (16)₁₀ = (100)ᵦ, what is the value of the base 'b'?
A)
4
B)
8
C)
5
D)
None of these
Discuss it
Explanation
1b² + 0b¹ + 0*b⁰ = 16. Therefore b² = 16, which means b = 4.
View Solution Q.16 If (292)₁₀ = (1204)ᵦ, what is the value of the base 'b'?
A)
242
B)
225
C)
6
D)
None of these
Discuss it
Explanation
Testing base 6: (16³) + (26²) + (06¹) + (46⁰) = 216 + 72 + 0 + 4 = 292. Thus, b = 6.
View Solution Q.17 Convert the Hexadecimal number A9 to Binary.
A)
101010
B)
10101001
C)
101010011
D)
None of these
Discuss it
Explanation
A is 1010 and 9 is 1001. Combined, they form the 8-bit string 10101001.
View Solution Q.18 What is the Decimal equivalent of the Binary number 1001011?
A)
75
B)
77
C)
85
D)
None of these
Discuss it
Explanation
Calculation: (164) + (032) + (016) + (18) + (04) + (12) + (1*1) = 64 + 8 + 2 + 1 = 75.
View Solution Q.19 Convert the Decimal number 109 to Hexadecimal.
Discuss it
Explanation
109 divided by 16 is 6 with a remainder of 13. Since 13 is represented by 'D', the result is 6D.
View Solution Q.20 Convert the Decimal number 27 to Binary.
A)
1101
B)
11011
C)
110110
D)
None of these
Discuss it
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.
View Solution 