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Class 9 Exam  >  Class 9 Tests  >  Cyber Olympiad for Class 9  >  Olympiad Test: Number System- 2 - Class 9 MCQ

Olympiad Test: Number System- 2 - Class 9 MCQ


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10 Questions MCQ Test Cyber Olympiad for Class 9 - Olympiad Test: Number System- 2

Olympiad Test: Number System- 2 for Class 9 2024 is part of Cyber Olympiad for Class 9 preparation. The Olympiad Test: Number System- 2 questions and answers have been prepared according to the Class 9 exam syllabus.The Olympiad Test: Number System- 2 MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Number System- 2 below.
Solutions of Olympiad Test: Number System- 2 questions in English are available as part of our Cyber Olympiad for Class 9 for Class 9 & Olympiad Test: Number System- 2 solutions in Hindi for Cyber Olympiad for Class 9 course. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free. Attempt Olympiad Test: Number System- 2 | 10 questions in 15 minutes | Mock test for Class 9 preparation | Free important questions MCQ to study Cyber Olympiad for Class 9 for Class 9 Exam | Download free PDF with solutions
Olympiad Test: Number System- 2 - Question 1
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Which of the following is the correct binary representation of the given hexadecimal number (3A7)₍₁₆₎?

Detailed Solution for Olympiad Test: Number System- 2 - Question 1
Hexadecimal 3A7 converts to binary as: 3 -> 0011, A -> 1010, 7 -> 0111. So, the binary representation is 001111100101.
Olympiad Test: Number System- 2 - Question 2
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Convert the decimal number 157 into its binary form.

Detailed Solution for Olympiad Test: Number System- 2 - Question 2
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.
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Olympiad Test: Number System- 2 - Question 3
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What is the octal equivalent of the binary number 11011010?

Detailed Solution for Olympiad Test: Number System- 2 - Question 3
Binary 11011010 converts to octal as: 110 -> 6, 110 -> 6, 10 -> 2. So, the octal equivalent is 335.
Olympiad Test: Number System- 2 - Question 4
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Convert the octal number 5674 into its decimal form.
Detailed Solution for Olympiad Test: Number System- 2 - Question 4
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.
Olympiad Test: Number System- 2 - Question 5
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Which of the following is the correct hexadecimal representation of the binary number 110101101?
Detailed Solution for Olympiad Test: Number System- 2 - Question 5
Binary 110101101 converts to hexadecimal as: 1101 -> D, 0110 -> 6. So, the hexadecimal representation is 1D6.
Olympiad Test: Number System- 2 - Question 6
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Convert the hexadecimal number AB3C into its equivalent binary form.
Detailed Solution for Olympiad Test: Number System- 2 - Question 6
Hexadecimal AB3C converts to binary as: A -> 1010, B -> 1011, 3 -> 0011, C -> 1100. So, the binary equivalent is 1010101100111100.
Olympiad Test: Number System- 2 - Question 7
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What is the decimal equivalent of the octal number 7652?
Detailed Solution for Olympiad Test: Number System- 2 - Question 7
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.
Olympiad Test: Number System- 2 - Question 8
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Which of the following is the correct octal representation of the binary number 101101001?
Detailed Solution for Olympiad Test: Number System- 2 - Question 8
Binary 101101001 converts to octal as: 101 -> 5, 101 -> 5, 001 -> 1. So, the octal representation is 1341.
Olympiad Test: Number System- 2 - Question 9
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Convert the decimal number 1023 into its hexadecimal form.
Detailed Solution for Olympiad Test: Number System- 2 - Question 9
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.
Olympiad Test: Number System- 2 - Question 10
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What is the binary equivalent of the hexadecimal number 2DFA?
Detailed Solution for Olympiad Test: Number System- 2 - Question 10
Hexadecimal 2DFA converts to binary as: 2 -> 0010, D -> 1101, F -> 1111, A -> 1010. So, the binary equivalent is 101011110111011.
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