What decimal number is represented by the binary number 01101010?

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To determine the decimal equivalent of the binary number 01101010, it's important to understand how binary numbers work. Binary is a base-2 numeral system, which means each digit represents a power of 2, starting from the rightmost digit which represents (2^0).

Breaking down the binary number 01101010:

  • Starting from the right, the positions (or weights) of the binary digits are:

  • 0 (2^7)

  • 1 (2^6)

  • 1 (2^5)

  • 0 (2^4)

  • 1 (2^3)

  • 0 (2^2)

  • 1 (2^1)

  • 0 (2^0)

Calculating each of these:

  • 0 × 128 (2^7) = 0

  • 1 × 64 (2^6) = 64

  • 1 × 32 (2^5) = 32

  • 0 × 16 (2^4) = 0

  • 1 × 8 (2^3) = 8

  • 0 × 4 (2^2) =

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