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In the context of numeral systems, what does the term 'base' refer to?
In the context of numeral systems, what does the term 'base' refer to?
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Q1
In the context of numeral systems, what does the term 'base' refer to?
The number of unique digits used.
The maximum value of a digit.
The total number of digits in a system.
The value of the first digit.
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The term 'base' refers to the number of unique digits used in a numeral system.
Questions & Step-by-step Solutions
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Q
Q: In the context of numeral systems, what does the term 'base' refer to?
Solution:
The term 'base' refers to the number of unique digits used in a numeral system.
Steps: 6
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Step 1: Understand that a numeral system is a way to represent numbers.
Step 2: Recognize that different numeral systems use different sets of digits.
Step 3: The 'base' of a numeral system tells us how many unique digits are used.
Step 4: For example, in the decimal system (base 10), we use the digits 0-9, 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 indicates the total count of these unique digits in the system.
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