What decimal number is represented by the binary number 01101010?

64

106

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) =

50

32

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