# Confusion about channel capacity definition and units

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Why can the channel capacity C of the additive white gaussion noise (AWGN) channel be denoted in different ways and how do they relate to each other? Examples:

```
C = (1/2) * log2(1 + SNR) [bit?]
```

source: wikipedia: Additive_White_Gaussian_Noise#Channel_Capacity

```
C = B * log2(1 + SNR) [bit/s] with bandwidth B in Hz.
```

source: wikipedia: Channel_capacity#Example_application

SNR is the signal to noise ratio in both formulas and B is the bandwidth of the used channel in Hz.

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