Podcast
Questions and Answers
Which of the following is NOT an advantage of digital systems?
Which of the following is NOT an advantage of digital systems?
- Greater flexibility in design
- Less noise and distortion
- Higher resolution and output quality
- Increased manufacturing costs (correct)
Which is the base for the binary number system?
Which is the base for the binary number system?
- 8
- 16
- 10
- 2 (correct)
What symbols are used in the hexadecimal number system?
What symbols are used in the hexadecimal number system?
- 0-7
- 0-15
- 0-9, A-F (correct)
- 0-9, A-E
What type of systems do analog devices represent?
What type of systems do analog devices represent?
Which of the following is an example of a digital system?
Which of the following is an example of a digital system?
What is the base of the decimal number system?
What is the base of the decimal number system?
What is the first step in converting from Binary to Decimal?
What is the first step in converting from Binary to Decimal?
Which method is used to convert Decimal to Binary?
Which method is used to convert Decimal to Binary?
What is the process for converting from Octal to Decimal?
What is the process for converting from Octal to Decimal?
How do you convert from Decimal to Hexadecimal?
How do you convert from Decimal to Hexadecimal?
What is the technique for converting Hexadecimal to Decimal?
What is the technique for converting Hexadecimal to Decimal?
What is the correct starting method for converting Binary to Octal?
What is the correct starting method for converting Binary to Octal?
Which statement is true regarding Binary to Hexadecimal conversion?
Which statement is true regarding Binary to Hexadecimal conversion?
What is involved in converting Octal to Binary?
What is involved in converting Octal to Binary?
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Study Notes
Numerical Representations
- Quantities can be represented in analog or digital forms.
- Analog representation uses a continuously varying physical quantity, such as voltage or current, to represent a value.
- Digital representation uses discrete symbols, called digits, to represent values.
- Digital systems manipulate information represented in digital form.
- Analog systems manipulate information represented in analog form.
- Digital systems have advantages over analog systems, including ease of design, higher resolution, greater error/fault tolerance, flexibility, and less noise.
Number Systems
- Decimal Number System: Uses base 10 with digits 0-9. (Ex: 7392.15)
- Binary Number System: Uses base 2 with digits 0 and 1. (Ex: 11010.11)
- Octal Number System: Uses base 8 with digits 0-7. (Ex: 127.4)
- Hexadecimal Number System: Uses base 16 with digits 0-9 and A-F. (Ex: B65F).
Conversions
- Binary to Decimal: Multiply each bit by 2 raised to the power of its position (starting from 0 on the right) and add the results.
- Decimal to Binary: Repeatedly divide by 2 and keep track of the remainders. The remainders form the binary representation in reverse order.
- Octal to Decimal: Multiply each digit by 8 raised to the power of its position and add the results.
- Decimal to Octal: Repeatedly divide by 8 and keep track of the remainders.
- Hexadecimal to Decimal: Multiply each digit by 16 raised to the power of its position and add the results.
- Decimal to Hexadecimal: Repeatedly divide by 16 and keep track of the remainders.
- Octal to Binary: Convert each octal digit to its equivalent 3-bit binary representation.
- Binary to Octal: Group binary bits in threes, starting from the right, and convert each group to its equivalent octal digit.
- Binary to Hexadecimal: Group binary bits in fours, starting from the right, and convert each group to its equivalent hexadecimal digit.
- Hexadecimal to Binary: Convert each hexadecimal digit to its equivalent 4-bit binary representation.
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