Binary Code Quiz: Test Your Understanding of 0s and 1s

📚 Quick Study Guide

• 🔢 Binary code represents text, computer processor instructions, or any other data using a two-symbol system, typically '0' and '1'.
• 🧮 Each binary digit is referred to as a bit.
• 💻 A group of 8 bits is called a byte.
• ➕ Converting from binary to decimal involves multiplying each bit by 2 raised to the power of its position (starting from 0 on the right) and summing the results. For example, $101_2 = (1 * 2^2) + (0 * 2^1) + (1 * 2^0) = 5_{10}$.
• ➖ Converting from decimal to binary involves repeatedly dividing the decimal number by 2 and noting the remainders. The remainders, read in reverse order, form the binary equivalent.
• 📊 Common binary prefixes are Kilo (K), Mega (M), Giga (G), and Tera (T), representing powers of 2 (e.g., 1 KB = $2^{10}$ bytes).
• 💡 Binary logic is the basis of how computers perform operations.

🧪 Practice Quiz

1. Which of the following is a valid binary number?
   1. 123
   2. 10101
   3. 202
   4. ABC
2. What is the decimal equivalent of the binary number 1101?
   1. 11
   2. 12
   3. 13
   4. 14
3. What is the binary equivalent of the decimal number 10?
   1. 1001
   2. 1010
   3. 1100
   4. 1111
4. How many bits are in a byte?
   1. 4
   2. 8
   3. 16
   4. 32
5. Which of the following is the most significant bit (MSB) in the binary number 1100101?
   1. The leftmost 1
   2. The rightmost 1
   3. The middle 0
   4. The rightmost 0
6. What logic gate outputs '1' only if both inputs are '1'?
   1. OR
   2. NOT
   3. AND
   4. XOR
7. What does the binary prefix 'Kilo' (K) represent?
   1. $2^{8}$
   2. $2^{10}$
   3. $2^{12}$
   4. $2^{16}$