Podcast
Questions and Answers
What is the base of the octal number system?
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 (123.24)10 in the decimal system?
What is the value of (2007)8 in the decimal system?
What is the value of (2007)8 in the decimal system?
What is the base of the hexadecimal number system?
What is the base of the hexadecimal number system?
Signup and view all the answers
What is the value of (2BC9)16 in the decimal system?
What is the value of (2BC9)16 in the decimal system?
Signup and view all the answers
What is the base of the octal number system?
What is the base of the octal number system?
Signup and view all the answers
What is the value of (2007)8 in the decimal system?
What is the value of (2007)8 in the decimal system?
Signup and view all the answers
What is the base of the hexadecimal number system?
What is the base of the hexadecimal number system?
Signup and view all the answers
What is the value of (2BC9)16 in the decimal system?
What is the value of (2BC9)16 in the decimal system?
Signup and view all the answers
What is the value of (123.24)10 in the decimal system?
What is the value of (123.24)10 in the decimal system?
Signup and view all the answers
What is the value of (101101)2 in the decimal system?
What is the value of (101101)2 in the decimal system?
Signup and view all the answers
What is the value of (77)8 in the decimal system?
What is the value of (77)8 in the decimal system?
Signup and view all the answers
What is the value of (3A4)16 in the decimal system?
What is the value of (3A4)16 in the decimal system?
Signup and view all the answers
What is the value of (1101.11)2 in the decimal system?
What is the value of (1101.11)2 in the decimal system?
Signup and view all the answers
What is the value of (543)8 in the decimal system?
What is the value of (543)8 in the decimal system?
Signup and view all the answers
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.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
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.
