Which numeral system uses digits 0-9 and letters A-F to represent values?

Which numeral system uses digits 0-9 and letters A-F to represent values?

• A. Base 16
• B. Base 3
• C. Base 10
• D. Binary Numbering System

Answer: (A)

This tests understanding of the numeral system that extends beyond the digits 0–9 by adding letters to represent higher values. In hexadecimal, which is base 16, each digit can stand for a value from 0 to 15. The digits 0–9 represent values 0 through 9, and the letters A through F represent 10 through 15 (A=10, B=11, C=12, D=13, E=14, F=15). This is why you see digits 0–9 plus A–F in hex notation. Hex is especially common in computing because two hex digits map neatly to one byte (00 to FF, or 0 to 255). The other systems don’t use the letters A–F: base 3 uses 0–2, base 10 uses only 0–9, and the binary system uses only 0 and 1.

This tests understanding of the numeral system that extends beyond the digits 0–9 by adding letters to represent higher values. In hexadecimal, which is base 16, each digit can stand for a value from 0 to 15. The digits 0–9 represent values 0 through 9, and the letters A through F represent 10 through 15 (A=10, B=11, C=12, D=13, E=14, F=15). This is why you see digits 0–9 plus A–F in hex notation. Hex is especially common in computing because two hex digits map neatly to one byte (00 to FF, or 0 to 255). The other systems don’t use the letters A–F: base 3 uses 0–2, base 10 uses only 0–9, and the binary system uses only 0 and 1.