Questions and Answers
What is the base of the octal number system?
What is the value of (123.24)10 in the decimal system?
What is the value of (2007)8 in the decimal system?
What is the base of the hexadecimal number system?
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What is the value of (2BC9)16 in the decimal system?
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What is the base of the octal number system?
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What is the value of (2007)8 in the decimal system?
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What is the base of the hexadecimal number system?
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What is the value of (2BC9)16 in the decimal system?
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What is the value of (123.24)10 in the decimal system?
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What is the value of (101101)2 in the decimal system?
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What is the value of (77)8 in the decimal system?
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What is the value of (3A4)16 in the decimal system?
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What is the value of (1101.11)2 in the decimal system?
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What is the value of (543)8 in the decimal system?
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Study Notes
Number System Bases
- Octal number system has a base of 8.
- Hexadecimal number system has a base of 16.
- Decimal number system has a base of 10.
- Binary number system has a base of 2.
Decimal Conversions
- The value of (123.24) in decimal is 123.24 (already in decimal form).
- The value of (2007) in decimal is 2 × 8^3 + 0 × 8^2 + 0 × 8^1 + 7 × 8^0 = 2 × 512 + 0 + 0 + 7 = 1024 + 7 = 1031.
- The value of (77) in decimal is 7 × 8^1 + 7 × 8^0 = 7 × 8 + 7 = 56 + 7 = 63.
- The value of (543) in decimal is 5 × 8^2 + 4 × 8^1 + 3 × 8^0 = 5 × 64 + 4 × 8 + 3 = 320 + 32 + 3 = 355.
- The value of (101101) in decimal is 1 × 2^5 + 0 × 2^4 + 1 × 2^3 + 1 × 2^2 + 0 × 2^1 + 1 × 2^0 = 32 + 0 + 8 + 4 + 0 + 1 = 45.
- The value of (1101.11) in decimal is 1 × 2^3 + 1 × 2^2 + 0 × 2^1 + 1 × 2^0 + 1 × 2^(-1) + 1 × 2^(-2) = 8 + 4 + 0 + 1 + 0.5 + 0.25 = 13.75.
Hexadecimal Conversions
- The value of (2BC9) in decimal is 2 × 16^3 + 11 × 16^2 + 12 × 16^1 + 9 × 16^0 = 8192 + 2816 + 192 + 9 = 11009.
- The value of (3A4) in decimal is 3 × 16^2 + 10 × 16^1 + 4 × 16^0 = 768 + 160 + 4 = 932.
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Description
Test your knowledge of number systems and digital electronics with this quiz. Explore the basics of the decimal system, positional notation, and the representation of numbers. Perfect for students of basic electronics at The LNMIIT Jaipur.
