📚 Quick Study Guide: Understanding Hexadecimal
- 🔢 Definition: Hexadecimal is a base-16 numeral system, meaning it uses 16 distinct symbols to represent numbers.
- ✨ Symbols Used: It uses the digits 0-9 and the letters A-F.
- 🅰️ Letter Values: The letters A through F represent decimal values 10 through 15, respectively:
- A = 10
- B = 11
- C = 12
- D = 13
- E = 14
- F = 15
- 💻 Common Uses: Hexadecimal is widely used in computing for representing memory addresses, MAC addresses, web colors (e.g., #FF0000), and other binary data in a more compact and human-readable form.
- 🔄 Conversion Basics: Each hexadecimal digit corresponds to exactly four binary digits (bits). This makes conversion between binary and hexadecimal very straightforward.
- 💡 Positional System: Like decimal, hexadecimal is a positional number system. Each position represents a power of 16. For example, $(1A)_{16} = 1 \times 16^1 + A \times 16^0 = 1 \times 16 + 10 \times 1 = 16 + 10 = (26)_{10}$.
🧠 Practice Quiz: Test Your Base-16 Knowledge!
Choose the best answer for each question.
❓ What is the base of the hexadecimal numeral system?
A) Base-2
B) Base-8
C) Base-10
D) Base-16
❓ Which of the following is NOT a valid hexadecimal digit?
A) 7
B) F
C) G
D) A
❓ What is the decimal equivalent of the hexadecimal digit 'D'?
A) 11
B) 12
C) 13
D) 14
❓ Convert the decimal number 27 to its hexadecimal equivalent.
A) 1A
B) 1B
C) 1C
D) 1D
❓ What is the decimal value of the hexadecimal number '2F'?
A) 31
B) 47
C) 42
D) 50
❓ The hexadecimal color code #00FF00 represents which color?
A) Red
B) Blue
C) Green
D) Yellow
❓ How many binary bits does a single hexadecimal digit represent?
A) 2 bits
B) 3 bits
C) 4 bits
D) 8 bits
Click to see Answers
1. D) Base-16
2. C) G
3. C) 13
4. B) 1B
5. B) 47 ($2 \times 16^1 + F \times 16^0 = 2 \times 16 + 15 \times 1 = 32 + 15 = 47$)
6. C) Green
7. C) 4 bits