How to Play

You'll be shown an 8-bit binary number (8 digits of 0s and 1s). Your goal is to convert it to its decimal (base-10) equivalent.

Game rules:

• Each game has 10 rounds
• You get 3 attempts per question
• Score points for correct answers
• Track your progress in Stats

Binary is a base-2 number system, using only 0s and 1s. Each position represents a power of 2.

8-bit binary position values:

Follow these steps to convert binary to decimal:

1. 1Write down the binary number (e.g., 10000010)
2. 2Label each position from right to left, starting at 0
3. 3Multiply each digit by 2 raised to its position power
4. 4Add all the results together

Convert 10000010 to decimal:

Binary:

1 0 0 0 0 0 1 0

Power (right to left):

7 6 5 4 3 2 1 0

Value (2ⁿ):

128 64 32 16 8 4 2 1

Calculation:

• 1 × 128 = 128
• 0 × 64 = 0
• 0 × 32 = 0
• 0 × 16 = 0
• 0 × 8 = 0
• 0 × 4 = 0
• 1 × 2 = 2
• 0 × 1 = 0

128 + 0 + 0 + 0 + 0 + 0 + 2 + 0 = 130

Answer: 130

• Start from the right (least significant bit)
• Remember: 2⁰ = 1, 2¹ = 2, 2² = 4, 2³ = 8, etc.
• Only 1s contribute to the sum (0s = 0)