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Questions and Answers
Which digits are used in the Decimal system?
Which of the following systems uses the digits A, B, C, D, E, F?
The Binary system uses the digits 0, 1, 2.
False
What is the octal equivalent of (36)10?
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Convert (367)8 to decimal.
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What is (554)8 in binary?
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What is the binary equivalent of (101101100)2 in octal?
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Convert (000201102100)2 to hexadecimal.
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Study Notes
Number Systems
- Decimal (Base-10) uses digits 0-9.
- Binary (Base-2) uses digits 0 and 1.
- Octal (Base-8) uses digits 0-7.
- Hexadecimal (Base-16) uses digits 0-9 and letters A-F (A=10, B=11, C=12, D=13, E=14, F=15).
Converting from Decimal to Binary
- To convert a decimal number to binary, repeatedly divide the decimal number by 2, recording the remainders. The remainders, read from bottom to top, form the binary equivalent.
Converting from Decimal to Octal
- To convert a decimal number to octal, repeatedly divide the decimal number by 8, recording the remainders. The remainders, read from bottom to top, form the octal equivalent.
Converting from Decimal to Hexadecimal
- To convert a decimal number to hexadecimal, repeatedly divide the decimal number by 16, recording the remainders. The remainders, read from bottom to top, form the hexadecimal equivalent.
Converting from Octal to Binary
- To convert an octal number to binary, convert each octal digit to its 3-bit binary equivalent (e.g., 5 = 101, 4 = 100).
Converting from Binary to Octal
- To convert a binary number to octal, group the binary digits in groups of three, starting from the rightmost digit. Convert each group of three to its octal equivalent (e.g., 101 = 5, 100 = 4).
Converting from Binary to Hexadecimal
- To convert a binary number to hexadecimal, group the binary digits in groups of four, starting from the rightmost digit. Convert each group of four to its hexadecimal equivalent (e.g., 1100 = C).
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Description
This quiz covers the basics of number systems, including decimal, binary, octal, and hexadecimal. Participants will learn how to convert numbers between these systems through a series of questions. Test your knowledge and improve your understanding of number conversions!
