Roll dice using D&D notation

Evaluate standard NdS dice notation, show every face, and apply one signed modifier to the sum.

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ToolDice Roller
Input
Output
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How it works

Notation supplies an optional die count, d, the number of faces, and one optional signed modifier. Each unseeded face is selected uniformly from 1 through S using rejection-sampled Web Crypto output; seed text substitutes a deterministic stream, and the modifier changes the combined total once.

Formula
total = sum of N independent faces from 1 through S + modifier
  • Omitting N means one die, while S is always explicit and must be at least two.
  • Counts and sides stop at 1,000 to bound browser work and output size.

Worked example

Three six-sided dice plus two
Standard D&D notation: count, d, sides, then an optional modifier
Input
											Notation: 3d6+2
Seed: table-one
Output
												Total: 11
Rolls: 4, 1, 4
Dice count: 3
Dice sides: 6
Modifier: 2

When to use this

Dungeons & Dragons ability checks combine d20 with a modifier, tabletop damage pools total several equal dice, and probability lessons sample the non-uniform sums of 2d6.

Edge cases

  • d20 is parsed as one twenty-sided die, not as zero dice or an incomplete expression.
  • 3d6+2 adds two after summing all three faces rather than increasing each face by two.
  • d1 and dimensions above 1,000 fall outside the supported die model and are rejected before drawing.

References