Subjects number systems

Binary To Decimal 9C5377

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1. The problem is to convert the binary number 11110 to our decimal number system. 2. The formula to convert a binary number to decimal is: $$\text{Decimal} = \sum_{i=0}^{n-1} b_i \times 2^i$$ where $b_i$ is the binary digit (bit) at position $i$ from right to left, starting at 0. 3. Write the binary number 11110 with positions: $$1\times 2^4 + 1\times 2^3 + 1\times 2^2 + 1\times 2^1 + 0\times 2^0$$ 4. Calculate each term: $$1\times 16 + 1\times 8 + 1\times 4 + 1\times 2 + 0\times 1$$ 5. Sum the values: $$16 + 8 + 4 + 2 + 0 = 30$$ 6. Therefore, the binary number 11110 equals the decimal number 30.