Question: In a numeral system, what does the term \'base\' refer to? (2023)
Options:
The number of unique digits used.
The maximum value of a digit.
The total number of digits in a number.
The position of a digit in a number.
Correct Answer: The number of unique digits used.
Exam Year: 2023
Solution:
The term \'base\' refers to the number of unique digits used in a numeral system.
In a numeral system, what does the term 'base' refer to? (2023)
Practice Questions
Q1
In a numeral system, what does the term 'base' refer to? (2023)
The number of unique digits used.
The maximum value of a digit.
The total number of digits in a number.
The position of a digit in a number.
Questions & Step-by-Step Solutions
In a numeral system, what does the term 'base' refer to? (2023)
Step 1: Understand that a numeral system is a way to represent numbers.
Step 2: Learn that each numeral system uses a set of digits to represent values.
Step 3: The 'base' of a numeral system tells us how many unique digits are used in that system.
Step 4: For example, in the decimal system (base 10), we use the digits 0 to 9, which are 10 unique digits.
Step 5: In the binary system (base 2), we only use the digits 0 and 1, which are 2 unique digits.
Step 6: Therefore, the base helps us understand how many different symbols we can use to create numbers.
Base in Numeral Systems – The base of a numeral system indicates how many unique digits (including zero) are used to represent numbers in that system.
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