Flashcards on Binary and hexadecimal number systems
Binary and Hexadecimal Number Systems: A Complete Guide
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Positional Number Systems
26 cards
Card 1
Question: What defines a positional number system?
Answer: In a positional system, the value of each digit in a number depends not only on the digit itself but also on its position within the number.
Card 2
Question: How do positional number systems differ from non-positional systems?
Answer: In positional systems, the value of each digit depends on its position, whereas in non-positional systems, symbols have an intrinsic value regardless
Card 3
Question: What is another name for the base of a positional number system?
Answer: Radix.
Card 4
Question: What does the base of a positional number system determine?
Answer: The base determines the number of unique digits or symbols used in the system.
Card 5
Question: How is the value of a number in any positional system expressed?
Answer: As a sum of products, where each product is a digit multiplied by the base raised to the power of its position.
Card 6
Question: How is the position of a digit counted in a positional number system?
Answer: From right to left, starting with 0 for the rightmost digit (the least significant digit).
Card 7
Question: What is the base of the decimal system?
Answer: 10.
Card 8
Question: What digits does the decimal system use?
Answer: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Card 9
Question: What is the base of the binary system?
Answer: 2.
Card 10
Question: What digits does the binary system use?
Answer: 0 and 1.