Which numeral system is most efficient for representing large binary numbers?

₹0.0

Question: Which numeral system is most efficient for representing large binary numbers?

Options:

Correct Answer: Hexadecimal

Solution:

The hexadecimal system is most efficient for representing large binary numbers due to its compactness.

Which numeral system is most efficient for representing large binary numbers?

Which numeral system is most efficient for representing large binary numbers?

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.