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

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Question: Which numeral system is most efficient for representing large binary numbers in a compact form? (2023)

Options:

Correct Answer: Hexadecimal

Exam Year: 2023

Solution:

Hexadecimal is most efficient for representing large binary numbers in a compact form, as it condenses four binary digits into one hexadecimal digit.

Which numeral system is most efficient for representing large binary numbers in a compact form? (2023)

Which numeral system is most efficient for representing large binary numbers in a compact form? (2023)

Step 1: Understand what a binary number is. A binary number uses only two digits: 0 and 1.
Step 2: Recognize that binary numbers can get very long when representing large values.
Step 3: Learn about different numeral systems. The most common ones are binary (base 2), decimal (base 10), and hexadecimal (base 16).
Step 4: Know that hexadecimal uses 16 symbols: 0-9 and A-F, where A represents 10, B represents 11, and so on up to F which represents 15.
Step 5: Realize that each hexadecimal digit can represent 4 binary digits (bits). For example, the binary number 1010 is equal to the hexadecimal digit A.
Step 6: Understand that by using hexadecimal, you can write large binary numbers in a shorter form. For example, instead of writing 16 bits in binary, you can write just 4 digits in hexadecimal.
Step 7: Conclude that hexadecimal is the most efficient way to represent large binary numbers compactly.

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