Question:
Consider the number of symbols in data representation in increasing order :
A. Binary
B. Hexadecimal
C. Octal
D. Penta (radix 5)
Choose the correct answer from the options given below :
Consider the number of symbols in data representation in increasing order :
A. Binary
B. Hexadecimal
C. Octal
D. Penta (radix 5)
Choose the correct answer from the options given below :
A. Binary
B. Hexadecimal
C. Octal
D. Penta (radix 5)
Choose the correct answer from the options given below :
Show Hint
"Radix" is just a fancy word for "how many unique digits do I have?" Bi = 2, Penta = 5, Oct = 8, Hex = 16.
Updated On: Aug 6, 2026
- A, D, C, B
- B, C, A, D
- A, D, B, C
- B, C, D, A
Show Solution
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The Correct Option is A
Solution and Explanation
Concept:
• In any positional number system, the "radix" or "base" defines the total number of unique symbols used to represent values.
• For a base \(r\), the symbols used are the integers from \(0\) to \(r-1\).
Step 1: Determine the number of symbols for each system
• Binary (A): Base is 2. Symbols are {0, 1}. Count = 2.
• Penta (D): Base is 5. Symbols are {0, 1, 2, 3, 4}. Count = 5.
• Octal (C): Base is 8. Symbols are {0, 1, 2, 3, 4, 5, 6, 7}. Count = 8.
• Hexadecimal (B): Base is 16. Symbols are {0-9, A-F}. Count = 16.
Step 2: Arrange in increasing order of symbols
Comparing the counts: \(2 < 5 < 8 < 16\).
The corresponding labels are A $\rightarrow$ D $\rightarrow$ C $\rightarrow$ B.
• In any positional number system, the "radix" or "base" defines the total number of unique symbols used to represent values.
• For a base \(r\), the symbols used are the integers from \(0\) to \(r-1\).
Step 1: Determine the number of symbols for each system
• Binary (A): Base is 2. Symbols are {0, 1}. Count = 2.
• Penta (D): Base is 5. Symbols are {0, 1, 2, 3, 4}. Count = 5.
• Octal (C): Base is 8. Symbols are {0, 1, 2, 3, 4, 5, 6, 7}. Count = 8.
• Hexadecimal (B): Base is 16. Symbols are {0-9, A-F}. Count = 16.
Step 2: Arrange in increasing order of symbols
Comparing the counts: \(2 < 5 < 8 < 16\).
The corresponding labels are A $\rightarrow$ D $\rightarrow$ C $\rightarrow$ B.
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