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: Jun 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
The "number of symbols" in a data representation refers to the Base or Radix of the number system.
1. Identifying the Bases:
• Binary (A): Base 2. Uses 2 symbols: $\{0, 1\}$.
• Penta (D): Base 5. Uses 5 symbols: $\{0, 1, 2, 3, 4\}$.
• Octal (C): Base 8. Uses 8 symbols: $\{0, 1, 2, 3, 4, 5, 6, 7\}$.
• Hexadecimal (B): Base 16. Uses 16 symbols: $\{0 \text{--} 9, A \text{--} F\}$. 2. Sorting in Increasing Order: Comparing the bases: $2 < 5 < 8 < 16$. This gives the sequence: Binary (A) $\to$ Penta (D) $\to$ Octal (C) $\to$ Hexadecimal (B). 3. Final Logic: The sequence of identifiers is A, D, C, B, which is Option (1).
• Binary (A): Base 2. Uses 2 symbols: $\{0, 1\}$.
• Penta (D): Base 5. Uses 5 symbols: $\{0, 1, 2, 3, 4\}$.
• Octal (C): Base 8. Uses 8 symbols: $\{0, 1, 2, 3, 4, 5, 6, 7\}$.
• Hexadecimal (B): Base 16. Uses 16 symbols: $\{0 \text{--} 9, A \text{--} F\}$. 2. Sorting in Increasing Order: Comparing the bases: $2 < 5 < 8 < 16$. This gives the sequence: Binary (A) $\to$ Penta (D) $\to$ Octal (C) $\to$ Hexadecimal (B). 3. Final Logic: The sequence of identifiers is A, D, C, B, which is Option (1).
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