Understanding the Baud Rate Calculator
This tool computes the values a microcontroller's UART (Universal Asynchronous Receiver/Transmitter) hardware needs to generate a target baud rate from a fixed clock, or oscillator, frequency. Because UART baud rate generators divide the clock by a whole number, the baud rate you actually get is almost always a close approximation of the baud rate you asked for — this calculator shows you exactly how close, and what register value produces it.
The formula
For the standard asynchronous UART baud rate generator used in AVR, PIC, and many other microcontroller families, the baud rate register value is:
UBRR = round(F_OSC / (N × Baud)) − 1
where F_OSC is the clock frequency in hertz, Baud is the desired baud rate in bits per second, and N is the oversampling factor — 16 for standard speed or 8 for double-speed (U2X) mode. Because UBRR must be a whole number, the register value is rounded, and the actual baud rate the hardware produces is found by reversing the formula:
Actual baud rate = F_OSC / (N × (UBRR + 1))
The percent error between the actual and desired baud rate is (Actual − Desired) / Desired × 100. A smaller error means the receiving device's sample point stays closer to the center of each bit.
Reading the results
The UBRR value is what you load into the hardware's baud rate register. The actual baud rate is the real bit rate the UART will transmit and receive at, which may differ slightly from your target. The error percentage tells you how far off that is, and the bit time is the duration of a single bit at the actual rate (1 ÷ actual baud rate), which is useful when measuring a signal on an oscilloscope or logic analyzer.
Common clock and baud rate combinations
Common oscillator frequencies for microcontrollers include 8 MHz, 11.0592 MHz, 16 MHz, and 20 MHz — some of these, like 11.0592 MHz, exist specifically because they divide evenly into standard baud rates, producing 0% error. Standard baud rates in serial communication are 1200, 2400, 4800, 9600, 19200, 38400, 57600, and 115200 bps; 9600 and 115200 are the most common defaults for debugging consoles and general-purpose serial links.
Getting accurate results
- Use the exact clock frequency your microcontroller or crystal actually runs at, not a rounded value — small differences here directly change the error percentage.
- Try both 16x and 8x oversampling if your error is too high; one setting sometimes divides more evenly into your clock and baud rate than the other.
- If the error stays above about 2%, consider a different standard baud rate or a crystal frequency chosen to divide evenly, such as the common 11.0592 MHz choice.
Always confirm the final UBRR value and its acceptable error range against your specific microcontroller's datasheet, since some families define the formula, register width, or maximum tolerable error slightly differently.