Binary, Decimal, Hexadecimal Quiz for AP Computer Science Principles

📚 Quick Study Guide

• 🔢 Binary (Base-2): Uses only two digits: 0 and 1. Each position represents a power of 2 (e.g., $2^0$, $2^1$, $2^2$, etc.).
• 🖐️ Decimal (Base-10): The number system we use every day, with digits 0-9. Each position represents a power of 10 (e.g., $10^0$, $10^1$, $10^2$, etc.).
• ➅ Hexadecimal (Base-16): Uses digits 0-9 and letters A-F (A=10, B=11, C=12, D=13, E=14, F=15). Each position represents a power of 16 (e.g., $16^0$, $16^1$, $16^2$, etc.).
• 🔄 Binary to Decimal Conversion: Multiply each binary digit by its corresponding power of 2 and add the results.
• 🧮 Decimal to Binary Conversion: Repeatedly divide the decimal number by 2, noting the remainders. The remainders, read in reverse order, form the binary number.
• 🤝 Hexadecimal to Decimal Conversion: Multiply each hexadecimal digit by its corresponding power of 16 and add the results.
• ➗ Decimal to Hexadecimal Conversion: Repeatedly divide the decimal number by 16, noting the remainders. Convert remainders 10-15 to A-F. The remainders, read in reverse order, form the hexadecimal number.
• ➕ Binary to Hexadecimal: Group the binary digits into sets of 4 (from right to left), and convert each group to its hexadecimal equivalent.
• ➖ Hexadecimal to Binary: Convert each hexadecimal digit to its 4-digit binary equivalent.

📝 Practice Quiz

1. What is the decimal equivalent of the binary number 101101?
• A. 43
• B. 45
• C. 47
• D. 49
2. What is the binary equivalent of the decimal number 57?
• A. 00111001
• B. 00111000
• C. 00111011
• D. 00111001
3. What is the hexadecimal equivalent of the decimal number 42?
• A. 2A
• B. A2
• C. 3A
• D. 4B
4. What is the decimal equivalent of the hexadecimal number 2F?
• A. 43
• B. 45
• C. 47
• D. 49
5. What is the binary equivalent of the hexadecimal number A5?
• A. 10100101
• B. 10100110
• C. 10110101
• D. 10101001
6. What is the hexadecimal equivalent of the binary number 11110000?
• A. F0
• B. 0F
• C. FF
• D. AA
7. Which of the following represents the largest value?
• A. 1111 (binary)
• B. 11 (decimal)
• C. A (hexadecimal)
• D. All are equal