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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?
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
 | 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.
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.
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?
a)
335
b)
355
c)
375
d)
385
 | C K Academy answered |
Binary 11011101 converts to octal as: 110 -> 6, 111 -> 7, 01 -> 1. So, the octal equivalent is 375.
Which of the following is the correct octal representation of the binary number 1011010?- a)132
- b)152
- c)152
- d)172
Correct answer is option 'D'. Can you explain this answer?
a)
132
b)
152
c)
152
d)
172
 | Trisha Vashisht answered |
Binary 1011010 converts to octal as: 1 -> 1, 011 -> 3, 010 -> 2. So, the octal representation is 172.
Which of the following is the correct binary representation of the given hexadecimal number (3A7)₍₁₆₎?- a)001110100111
- b)001101011110
- c)001111100101
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
a)
001110100111
b)
001101011110
c)
001111100101
d)
None of these
| | C K Academy answered |
Hexadecimal 3A7 converts to binary as: 3 -> 0011, A -> 1010, 7 -> 0111. So, the binary representation is 001111100101.
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?
a)
85
b)
86
c)
87
d)
88
| | 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.
What is the binary equivalent of the hexadecimal number 2DFA?- a)101011011111010
- b)101011110111010
- c)101011011111011
- d)101011110111011
Correct answer is option 'D'. Can you explain this answer?
a)
101011011111010
b)
101011110111010
c)
101011011111011
d)
101011110111011
 | Imk Pathshala answered |
Hexadecimal 2DFA converts to binary as: 2 -> 0010, D -> 1101, F -> 1111, A -> 1010. So, the binary equivalent is 101011110111011.
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?
a)
10011101
b)
10100101
c)
11001101
d)
11100101
| | 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.
Which of the following is the correct hexadecimal representation of the binary number 110101101?- a)1B5
- b)1D5
- c)1E5
- d)1F5
Correct answer is option 'B'. Can you explain this answer?
a)
1B5
b)
1D5
c)
1E5
d)
1F5
| | Imk Pathshala answered |
Binary 110101101 converts to hexadecimal as: 1101 -> D, 0110 -> 6. So, the hexadecimal representation is 1D6.
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?
a)
12712
b)
12722
c)
12732
d)
12742
| | 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 binary equivalent of the hexadecimal number ABCD?- a)1010 1011 1100 1101
- b)1100 1011 1010 1101
- c)1011 1010 1100 1101
- d)1101 1010 1100 1011
Correct answer is option 'A'. Can you explain this answer?
a)
1010 1011 1100 1101
b)
1100 1011 1010 1101
c)
1011 1010 1100 1101
d)
1101 1010 1100 1011
 | Let's Tute answered |
Hexadecimal ABCD converts to binary as: A -> 1010, B -> 1011, C -> 1100, D -> 1101. So, the binary equivalent is 1010 1011 1100 1101.
Which of the following is the correct hexadecimal representation of the octal number 567?- a)2D7
- b)2E7
- c)2F7
- d)2G7
Correct answer is option 'A'. Can you explain this answer?
a)
2D7
b)
2E7
c)
2F7
d)
2G7
| | C K Academy answered |
Octal 567 converts to hexadecimal as: 5 -> 5, 6 -> 6, 7 -> 7. So, the hexadecimal representation is 2D7.
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?
a)
4026
b)
4027
c)
4028
d)
4029
| | 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?
a)
2908
b)
2918
c)
2928
d)
2938
| | 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.
Convert the hexadecimal number AB3C into its equivalent binary form.- a)1010101100111100
- b)1010111000111100
- c)1010101100111000
- d)1010101110111000
Correct answer is option 'A'. Can you explain this answer?
a)
1010101100111100
b)
1010111000111100
c)
1010101100111000
d)
1010101110111000
| | Let's Tute answered |
Hexadecimal AB3C converts to binary as: A -> 1010, B -> 1011, 3 -> 0011, C -> 1100. So, the binary equivalent is 1010101100111100.
Which of the following is the correct binary representation of the given octal number (463)?- a)110 011 100
- b)110 011 110
- c)100 110 011
- d)100 110 111
Correct answer is option 'C'. Can you explain this answer?
a)
110 011 100
b)
110 011 110
c)
100 110 011
d)
100 110 111
| | Imk Pathshala answered |
Octal number 463 is converted to binary as follows: 4 -> 100, 6 -> 110, 3 -> 011. Therefore, the binary representation is 100 110 011.
Which of the following is the correct octal representation of the binary number 101101001?- a)1321
- b)1341
- c)1361
- d)1401
Correct answer is option 'B'. Can you explain this answer?
a)
1321
b)
1341
c)
1361
d)
1401
| | Let's Tute answered |
Binary 101101001 converts to octal as: 101 -> 5, 101 -> 5, 001 -> 1. So, the octal representation is 1341.
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?
a)
332
b)
335
c)
336
d)
337
| | 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?
a)
3FF
b)
3FD
c)
3FB
d)
3F9
 | 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?
a)
4028
b)
4029
c)
4030
d)
4031
| | 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?
a)
4D2
b)
4E2
c)
4F2
d)
502
| | 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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