In this post we explain how to convert from **Bandwidth** (Hz/kHz/MHz/GHz) to **Data throughput** in terms of Bits per second (bps/kbps/Mbps/Gbps).

**Formula**

To calculate the bit rate we use the Shannon-Hartley formula

**C = B*Log _{2}(1 + S/N)**

where,

**C**is the throughput in bits per second**B**is the bandwidth in Hz**S/N**is the linear signal-to-noise ratio

In the calculator below, enter the bandwidth and the SNR (dB)

## Key Assumptions

The Shannon-Hartley formula makes the following assumptions:

- The noise is white Gaussian. In other words it does not consider the effect of Fading which can cause additional signal losses.
- The throughput in bit-per-second is an
**upper bound**. It represents an ideal condition that can be achieved with an arbitrarily low error rate.

**Example Calculation**

For 100 MHz of bandwidth and 10 dB Signal to noise ratio, the maximum throughput is 346 Mbps.

**Throughput increases with SNR. **

For instance at 15 dB SNR, the max data rate is 503 Mbps.

**Signal-to-Noise Ratio**

The calculator on this page uses the Signal-to-Noise ratio in deciBels (dB). If the SNR is a linear ratio use the linear to dB converter.

**Related Calculators**

- Signal-to-Noise Ratio – how to calculate and measure
- Hz to kbps