Binary to Decimal: Unleashing the Power of Numbers

How can we convert binary numbers to decimal numbers?

Convert Binary to Decimal (1011001)₂ = ( )₁₀

Converting Binary to Decimal

Binary numbers are a powerful representation of data in the digital world. To convert a binary number to decimal, we follow a simple process.

Binary numbers are composed of only 0s and 1s, while decimal numbers are in base 10 with digits from 0 to 9. To convert a binary number to decimal, we assign powers of 2 to each digit of the binary number from right to left.

For example, to convert the binary number (1011001)₂ to decimal:

  • 1 * 2^0 = 1
  • 0 * 2^1 = 0
  • 1 * 2^2 = 4
  • 1 * 2^3 = 8
  • 0 * 2^4 = 0
  • 0 * 2^5 = 0
  • 1 * 2^6 = 64

Next, we sum up the results of the products and get the decimal equivalent of the binary number:

(1 * 1) + (0 * 2) + (1 * 4) + (1 * 8) + (0 * 16) + (0 * 32) + (1 * 64) = 77

Therefore, the decimal equivalent of the binary number (1011001)₂ is 77.

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