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Binary to decimal math

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Jan 18, 2026
4:42

Starting from the rightmost digit of the binary number, multiply each digit by powers of 2 (2⁰, 2¹, 2², …) and add the results. Example 1: Binary: 1011 1×2³ + 0×2² + 1×2¹ + 1×2⁰ = 8 + 0 + 2 + 1 = 11 ➡️ Decimal = 11 Example 2: Binary: 11001 1×2⁴ + 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 16 + 8 + 0 + 0 + 1 = 25 ➡️ Decimal = 25

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Binary to decimal math | NatokHD