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Which numeral system is most efficient for representing large binary numbers?
Practice Questions
Q1
Which numeral system is most efficient for representing large binary numbers?
Decimal
Octal
Hexadecimal
Base-64
Questions & Step-by-Step Solutions
Which numeral system is most efficient for representing large binary numbers?
Steps
Concepts
Step 1: Understand what a numeral system is. A numeral system is a way to represent numbers using symbols.
Step 2: Know that binary is a numeral system that uses only two symbols: 0 and 1.
Step 3: Realize that binary numbers can get very long when representing large values.
Step 4: Learn about the hexadecimal system, which uses sixteen symbols: 0-9 and A-F.
Step 5: Understand that each hexadecimal digit can represent four binary digits (bits).
Step 6: Compare the length of binary and hexadecimal representations. For example, the binary number '1111' is 'F' in hexadecimal.
Step 7: Conclude that hexadecimal is more compact than binary, making it more efficient for representing large binary numbers.
No concepts available.
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