Bit Rate to Baud Rate Converter
Free Bit rate baud rate Converter for signal & frequency units. Enter a value to see equivalent measurements across systems.
Reviewed by Manoj Kumar, Mathematics Educator
Formula
Baud Rate = Bit Rate / Bits per Symbol | Bit Rate = Baud Rate x Bits per Symbol | Symbol Duration = 1 / Baud Rate
The baud rate equals the bit rate divided by the number of bits encoded per symbol. Each modulation scheme defines how many bits a single symbol carries: BPSK = 1, QPSK = 2, 8-PSK = 3, 16-QAM = 4, 64-QAM = 6, 256-QAM = 8. Symbol duration is the reciprocal of the baud rate.
Worked Examples
Example 1: UART Serial Communication
Problem:A UART link runs at 115200 baud with 1 bit per symbol. What is the bit rate?
Solution:Bit Rate = Baud Rate x Bits per Symbol\nBit Rate = 115200 x 1 = 115,200 bps\nSymbol duration = 1 / 115200 = 8.68 microseconds\nWith 8N1 framing (10 bits per byte): effective byte rate = 11,520 bytes/s
Result:115200 baud = 115,200 bps (115.2 kbps)
Example 2: 16-QAM Wireless Link
Problem:A wireless link uses 16-QAM at 1 Mbaud. Calculate the bit rate.
Solution:16-QAM = 4 bits per symbol (log2(16) = 4)\nBit Rate = 1,000,000 x 4 = 4,000,000 bps\n= 4 Mbps\nSymbol duration = 1 / 1,000,000 = 1 microsecond
Result:1 Mbaud with 16-QAM = 4 Mbps
Frequently Asked Questions
What is the difference between bit rate and baud rate?
Bit rate is the number of bits transmitted per second (bps), while baud rate is the number of signal changes (symbols) per second. When each symbol carries only one bit (as in simple on/off keying), bit rate equals baud rate. With more advanced modulation schemes, each symbol can carry multiple bits, making the bit rate higher than the baud rate. For example, 16-QAM encodes 4 bits per symbol, so a 1000 baud signal carries 4000 bps. The relationship is Bit Rate = Baud Rate x Bits per Symbol.
Why is baud rate important in serial communication?
In serial communication protocols like RS-232 and UART, the baud rate determines the speed of data transfer between devices. Both sender and receiver must agree on the baud rate for successful communication. Common standard baud rates include 9600, 19200, 38400, 57600, and 115200 baud. In these protocols, each symbol is typically one bit, so baud rate equals bit rate. However, the effective data rate is lower due to start bits, stop bits, and optional parity bits in the framing.
References
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy