Embedded UART baud divisor calculator

Calculate integer divisor register and realized baud with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use integer divisor register and realized baud to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Peripheral clock (Hz)
16000000
Target baud (bits/s)
115200
Oversampling factor
16
Divisor register maximum
65535
Integer divisor register
8
Realized baud
111,111.111111
Baud error (%)
-3.549383

Try another scenario

Peripheral clock (Hz)
17600000
Target baud (bits/s)
115200
Oversampling factor
16
Divisor register maximum
65535
Integer divisor register
9
Realized baud
110000
Baud error (%)
-4.513889
Calculation method

Calculation method

Integer divisor register

round(clock/(oversampling×baud))−1, clamped to register bounds.

Realized baud

clock/(oversampling×(divisor+1)).

Baud error (%)

100(realized−target)/target.

Symbols and units
a
Peripheral clock (Hz)
b
Target baud (bits/s)
c
Oversampling factor
d
Divisor register maximum

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Clock, divisor rules, target baud. Returns Settings and baud error. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Peripheral clock (Hz): minimum 1e-12, maximum 1000000000000.0. Target baud (bits/s): minimum 1e-12, maximum 1000000000000.0. Oversampling factor: minimum 1, maximum 64. Divisor register maximum: minimum 1, maximum 1000000.
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