Podcast
Questions and Answers
What is the first step to convert a decimal number to binary, octal, or hexadecimal?
What is the first step to convert a decimal number to binary, octal, or hexadecimal?
Which of the following represents the binary equivalent of the decimal number 25?
Which of the following represents the binary equivalent of the decimal number 25?
What operation is performed to convert a binary number to decimal?
What operation is performed to convert a binary number to decimal?
Which of the following is NOT a base used in numeral systems?
Which of the following is NOT a base used in numeral systems?
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What is the outcome of converting the hexadecimal number 'A9' to decimal?
What is the outcome of converting the hexadecimal number 'A9' to decimal?
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What is the result of converting the octal number '765' to decimal?
What is the result of converting the octal number '765' to decimal?
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What is the correct conversion of the decimal number '597' to octal?
What is the correct conversion of the decimal number '597' to octal?
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Which statement is true regarding ASCII and ISCII?
Which statement is true regarding ASCII and ISCII?
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Study Notes
Number System Rules for Conversion
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Rule I: To convert a Decimal Number to Binary, Octal, or Hexadecimal, divide the number repeatedly by the base until it reaches zero, keeping track of remainders.
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Example for Decimal 25:
- Binary: (11001)2
- Octal: (31)8
- Hexadecimal: (19)16
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Rule II: To convert from Binary, Octal, or Hexadecimal to Decimal, multiply each digit by the base raised to the power of its position, counting from right to left starting at 0.
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Example conversions:
- Binary (100110)2 converts to (46)10
- Octal (73)8 converts to (59)10
- Hexadecimal (A9)16 converts to (304)10
Types of Number Systems
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Decimal Number System: Base 10; uses digits 0-9.
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Binary Number System: Base 2; uses digits 0 and 1.
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Octal Number System: Base 8; uses digits 0-7.
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Hexadecimal Number System: Base 16; uses digits 0-9 and letters A-F to represent values.
ASCII vs ISCII
- ASCII (American Standard Code for Information Interchange): Represents English characters using 7 bits per character.
- ISCII (Indian Script Code for Information Interchange): Extends ASCII to accommodate various Indian languages and scripts.
Conversion Exercises
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Convert Decimal to Binary:
- 245
- 567
- 765.67
- 848.335
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Convert Binary to Decimal:
- 1010101
- 11100011
- 101011.111
- 11111.1011
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Convert Octal to Decimal:
- 765
- 7634
- 4265.65
- 632.014
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Convert Decimal to Octal:
- 597
- 3867
- 760.345
- 897.54
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Convert Hexadecimal to Decimal:
- ADCA
- DCA
- DFA.76
- BCA.DF
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Convert Decimal to Hexadecimal:
- 786
- 1453
- 5276.45
- 764.34
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Convert Hexadecimal to Binary:
- ADFA
- 7B5A
- 8DCA.CA
- 6BC.AC6
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Convert Octal to Binary:
- 452
- 657
- 345.63
- 734.32
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Convert Binary to Octal: Conversion methods available for practice.
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Description
This quiz focuses on the rules for converting decimal numbers into binary, octal, and hexadecimal systems as outlined in Chapter 3. Test your understanding of number system conversions and the methods used to perform these calculations.
