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All questions of Number System for Class 8 Exam

Convert the hexadecimal number FEDCBA98 into its equivalent binary form.
  • a)
    1111 1110 1101 1100 1011 1010 1001 1000
  • b)
    1110 1111 1100 1101 1011 1010 1001 1000
  • c)
    1111 1110 1100 1101 1011 1010 1001 1000
  • d)
    1110 1111 1101 1100 1011 1010 1001 1000
Correct answer is option 'C'. Can you explain this answer?

Sameer Chaudhary answered
Understanding Hexadecimal to Binary Conversion
Hexadecimal is a base-16 number system that uses the digits 0-9 and letters A-F. To convert a hexadecimal number into binary, each hexadecimal digit corresponds to a 4-bit binary equivalent.
Steps to Convert FEDCBA98
1. Identify Each Hexadecimal Digit:
- F, E, D, C, B, A, 9, 8
2. Convert Each Digit to Binary:
- F = 1111
- E = 1110
- D = 1101
- C = 1100
- B = 1011
- A = 1010
- 9 = 1001
- 8 = 1000
3. Combine the Binary Values:
- Therefore, FEDCBA98 in binary becomes:
1111 1110 1101 1100 1011 1010 1001 1000
Final Result
The complete binary representation of the hexadecimal number FEDCBA98 is:
- 1111 1110 1101 1100 1011 1010 1001 1000
Choosing the Correct Option
Among the options provided:
- a) 1111 1110 1101 1100 1011 1010 1001 1000
- b) 1110 1111 1100 1101 1011 1010 1001 1000
- c) 1111 1110 1100 1101 1011 1010 1001 1000
- d) 1110 1111 1101 1100 1011 1010 1001 1000
The correct answer is option a) because it accurately reflects the binary conversion of the hexadecimal number FEDCBA98.
Conclusion
The binary equivalent of FEDCBA98 is represented accurately in option a), confirming the conversion process.
Clear all your doubts with EduRev

What is the octal equivalent of the binary number 11011101?
  • a)
    335
  • b)
    355
  • c)
    375
  • d)
    385
Correct answer is option 'C'. Can you explain this answer?

C K Academy answered
Binary 11011101 converts to octal as: 110 -> 6, 111 -> 7, 01 -> 1. So, the octal equivalent is 375.

What is the decimal equivalent of the binary number 1010101?
  • a)
    85
  • b)
    86
  • c)
    87
  • d)
    88
Correct answer is option 'A'. Can you explain this answer?

Trisha Vashisht answered
Binary 1010101 converts to decimal as: 1 * 2^6 + 0 * 2^5 + 1 * 2^4 + 0 * 2^3 + 1 * 2^2 + 0 * 2^1 + 1 * 2^0 = 85.

Convert the decimal number 157 into its binary form.
  • a)
    10011101
  • b)
    10100101
  • c)
    11001101
  • d)
    11100101
Correct answer is option 'A'. Can you explain this answer?

C K Academy answered
Decimal 157 converts to binary as: 157 / 2 = 78 remainder 1, 78 / 2 = 39 remainder 0, 39 / 2 = 19 remainder 1, 19 / 2 = 9 remainder 1, 9 / 2 = 4 remainder 1, 4 / 2 = 2 remainder 0, 2 / 2 = 1 remainder 0, 1 / 2 = 0 remainder 1. So, the binary equivalent is 10011101.

Convert the hexadecimal number 2F8A into its equivalent octal form.
  • a)
    12712
  • b)
    12722
  • c)
    12732
  • d)
    12742
Correct answer is option 'B'. Can you explain this answer?

Imk Pathshala answered
Hexadecimal 2F8A converts to octal as: 2 -> 002, F -> 017, 8 -> 010, A -> 012. So, the octal equivalent is 12722.

What is the decimal equivalent of the octal number 7652?
  • a)
    4026
  • b)
    4027
  • c)
    4028
  • d)
    4029
Correct answer is option 'C'. Can you explain this answer?

Let's Tute answered
Octal 7652 converts to decimal as: 7 * 8^3 + 6 * 8^2 + 5 * 8^1 + 2 * 8^0 = 7 * 512 + 6 * 64 + 5 * 8 + 2 = 4028.

Convert the octal number 5674 into its decimal form.
  • a)
    2908
  • b)
    2918
  • c)
    2928
  • d)
    2938
Correct answer is option 'A'. Can you explain this answer?

Imk Pathshala answered
Octal 5674 converts to decimal as: 5 * 8^3 + 6 * 8^2 + 7 * 8^1 + 4 * 8^0 = 5 * 512 + 6 * 64 + 7 * 8 + 4 = 2908.

What is the octal equivalent of the binary number 11011010?
  • a)
    332
  • b)
    335
  • c)
    336
  • d)
    337
Correct answer is option 'B'. Can you explain this answer?

C K Academy answered
Binary 11011010 converts to octal as: 110 -> 6, 110 -> 6, 10 -> 2. So, the octal equivalent is 335.

Convert the decimal number 1023 into its hexadecimal form.
  • a)
    3FF
  • b)
    3FD
  • c)
    3FB
  • d)
    3F9
Correct answer is option 'A'. Can you explain this answer?

EduRev Class 9 answered
Decimal 1023 converts to hexadecimal as: 1023 / 16 = 63 remainder 15 (F in hexadecimal), 63 / 16 = 3 remainder 15 (F in hexadecimal). So, the hexadecimal equivalent is 3FF.

Convert the octal number 7654 into its decimal form.
  • a)
    4028
  • b)
    4029
  • c)
    4030
  • d)
    4031
Correct answer is option 'B'. Can you explain this answer?

C K Academy answered
Octal 7654 converts to decimal as: 7 * 8^3 + 6 * 8^2 + 5 * 8^1 + 4 * 8^0 = 7 * 512 + 6 * 64 + 5 * 8 + 4 = 4029.

Convert the decimal number 1234 into its hexadecimal form.
  • a)
    4D2
  • b)
    4E2
  • c)
    4F2
  • d)
    502
Correct answer is option 'A'. Can you explain this answer?

Let's Tute answered
Decimal 1234 converts to hexadecimal as: 1234 / 16 = 77 remainder 2, 77 / 16 = 4 remainder 13 (D in hexadecimal). So, the hexadecimal equivalent is 4D2.

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