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Questions and Answers
What is the base of the decimal system?
What is the base of the decimal system?
What is the base of the decimal system?
What is the base of the decimal system?
What is positional notation?
What is positional notation?
What is positional notation?
What is positional notation?
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What is the base of the binary numbering system?
What is the base of the binary numbering system?
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What is the base of the binary numbering system?
What is the base of the binary numbering system?
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What is the octal numbering system?
What is the octal numbering system?
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What is the importance of using zero in a number?
What is the importance of using zero in a number?
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What is the base of the octal numbering system?
What is the base of the octal numbering system?
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What is the hexadecimal numbering system?
What is the hexadecimal numbering system?
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What is Binary Coded Decimal (BCD)?
What is Binary Coded Decimal (BCD)?
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How many binary digits does each octal digit represent?
How many binary digits does each octal digit represent?
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What is the base of the hexadecimal numbering system?
What is the base of the hexadecimal numbering system?
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How can BCD numbers be easily converted to decimal?
How can BCD numbers be easily converted to decimal?
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How many binary digits does each hexadecimal digit represent?
How many binary digits does each hexadecimal digit represent?
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How can you convert binary to decimal?
How can you convert binary to decimal?
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How can you convert octal to decimal?
How can you convert octal to decimal?
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What is Binary Coded Decimal (BCD)?
What is Binary Coded Decimal (BCD)?
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What is the universal method of counting and recording values?
What is the universal method of counting and recording values?
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How can BCD numbers be easily converted to decimal?
How can BCD numbers be easily converted to decimal?
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What is the universal method of counting and recording values?
What is the universal method of counting and recording values?
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How can octal be converted to decimal?
How can octal be converted to decimal?
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Study Notes
- Numbering systems have units, numbers, and bases.
- The base of a numbering system tells you the number of symbols used in that system.
- The base of the decimal system is 10, while other systems may have different bases.
- Positional notation is a system in which the value of a number is defined not only by the symbol but by the symbol’s position.
- The use of zero is important in a number as it can affect the value being represented.
- The binary numbering system is the base 2 numbering system, using only 0 and 1 as symbols.
- A computer works only in digital, using zeros and ones.
- The decimal system is the universal method of counting and recording values.
- The octal system is widely used in computer application sectors and digital numbering systems.
- Each octal numeral can be represented by three binary digits.
- The octal numbering system has a base of 8 and uses numerals 0-7.
- Each octal digit represents three binary digits.
- The hexadecimal numbering system has a base of 16 and uses numerals 0-9 and A-F.
- Each hexadecimal digit represents four binary digits.
- Binary Coded Decimal (BCD) is a compromise code that combines some characteristics of binary and decimal number systems.
- BCD numbers can be easily converted to decimal by breaking them into 4-bit groups and converting them to decimal.
- Converting from binary to decimal involves using the binary truth table or repeatedly dividing the decimal number by 2 and recording the remainder digits.
- Decimal to binary conversion can be done using either division or subtraction methods.
- Octal to decimal conversion involves multiplying each octal digit by its corresponding power of 8 and adding them up.
- Decimal to octal conversion involves repeatedly dividing the decimal number by 8 and recording the remainder digits.
- There are different numbering systems, including binary, octal, decimal, and hexadecimal.
- Converting between these systems can be done using truth tables and division methods.
- To convert decimal to binary, divide by 2 and record the remainders.
- To convert binary to decimal, use the binary to decimal truth table.
- To convert octal to binary, use the octal truth table, then convert to decimal using the binary to decimal truth table.
- To convert decimal to octal, divide by 8 and record the remainders.
- Hexadecimal can be converted to binary and then to decimal using the binary to decimal truth table.
- To convert decimal to hexadecimal, divide by 16 and represent remainders higher than 9 with the appropriate letter.
- Converting to and from binary can simplify conversions between different numbering systems.
- Practice exercises are provided to reinforce understanding of conversions.
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