add all your base

config.json

@@ -79,6 +79,14 @@
         "prerequisites": [],
         "difficulty": 2
       },
+      {
+        "slug": "all-your-base",
+        "name": "All Your Base",
+        "uuid": "a8eaf0dc-c5ff-46a2-9c47-86f738909db9",
+        "practices": [],
+        "prerequisites": [],
+        "difficulty": 4
+      },
       {
         "slug": "binary-search",
         "name": "Binary Search",

exercises/practice/all-your-base/.docs/instructions.md

@@ -0,0 +1,28 @@
+# Instructions
+
+Convert a sequence of digits in one base, representing a number, into a sequence of digits in another base, representing the same number.
+
+~~~~exercism/note
+Try to implement the conversion yourself.
+Do not use something else to perform the conversion for you.
+~~~~
+
+## About [Positional Notation][positional-notation]
+
+In positional notation, a number in base **b** can be understood as a linear combination of powers of **b**.
+
+The number 42, _in base 10_, means:
+
+`(4 × 10¹) + (2 × 10⁰)`
+
+The number 101010, _in base 2_, means:
+
+`(1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (1 × 2¹) + (0 × 2⁰)`
+
+The number 1120, _in base 3_, means:
+
+`(1 × 3³) + (1 × 3²) + (2 × 3¹) + (0 × 3⁰)`
+
+_Yes. Those three numbers above are exactly the same. Congratulations!_
+
+[positional-notation]: https://en.wikipedia.org/wiki/Positional_notation

exercises/practice/all-your-base/.docs/introduction.md

@@ -0,0 +1,8 @@
+# Introduction
+
+You've just been hired as professor of mathematics.
+Your first week went well, but something is off in your second week.
+The problem is that every answer given by your students is wrong!
+Luckily, your math skills have allowed you to identify the problem: the student answers _are_ correct, but they're all in base 2 (binary)!
+Amazingly, it turns out that each week, the students use a different base.
+To help you quickly verify the student answers, you'll be building a tool to translate between bases.

exercises/practice/all-your-base/.gitignore

@@ -0,0 +1,2 @@
+node_modules
+**/*.res.js

exercises/practice/all-your-base/.meta/AllYourBase.res

@@ -0,0 +1,21 @@
+let rebase = (inputBase, digits, outputBase) => {
+  let hasInvalidDigit = digits->Array.some(d => d < 0 || d >= inputBase)
+  let allZeros = digits->Array.every(d => d == 0)
+
+  switch (inputBase, outputBase) {
+  | (ib, _) if ib < 2 => None
+  | (_, ob) if ob < 2 => None
+  | _ if hasInvalidDigit => None
+  | _ if allZeros => Some([0])
+  | _ => {
+      let total = digits->Array.reduce(0, (acc, d) => acc * inputBase + d)
+
+      let rec generate = (acc, val) => {
+        val == 0 ? acc : generate(list{mod(val, outputBase), ...acc}, val / outputBase)
+      }
+
+      let resultList = generate(list{}, total)
+      Some(resultList->List.toArray)
+    }
+  }
+}

exercises/practice/all-your-base/.meta/AllYourBase.resi

@@ -0,0 +1 @@
+let rebase: (int, array<int>, int) => option<array<int>>

exercises/practice/all-your-base/.meta/config.json

@@ -0,0 +1,19 @@
+{
+  "authors": [
+    "therealowenrees"
+  ],
+  "files": {
+    "solution": [
+      "src/AllYourBase.res",
+      "src/AllYourBase.resi"
+    ],
+    "test": [
+      "tests/AllYourBase_test.res"
+    ],
+    "example": [
+      ".meta/AllYourBase.res",
+      ".meta/AllYourBase.resi"
+    ]
+  },
+  "blurb": "Convert a number, represented as a sequence of digits in one base, to any other base."
+}

exercises/practice/all-your-base/.meta/testTemplate.js

@@ -0,0 +1,25 @@
+import path from 'node:path';
+import { fileURLToPath } from 'node:url';
+import { assertEqual } from "../../../../test_generator/assertions.js";
+import { generateTests } from '../../../../test_generator/testGenerator.js';
+
+const __dirname = path.dirname(fileURLToPath(import.meta.url));
+const slug = path.basename(path.resolve(__dirname, '..'))
+
+// EDIT THIS WITH YOUR ASSERTIONS
+export const assertionFunctions = [ assertEqual ]
+
+// EDIT THIS WITH YOUR TEST TEMPLATES
+export const template = (c) => {
+  const { inputBase, digits, outputBase } = c.input
+
+  const digitsArrStr = `[${digits.join(', ')}]`
+
+  const expectedStr = (Array.isArray(c.expected))
+    ? `Some([${c.expected.join(', ')}])`
+    : "None"
+
+  return `assertEqual(~message="${c.description}", rebase(${inputBase}, ${digitsArrStr}, ${outputBase}), ${expectedStr})`
+}
+
+generateTests(__dirname, slug, assertionFunctions, template)

exercises/practice/all-your-base/.meta/tests.toml

@@ -0,0 +1,73 @@
+# This is an auto-generated file.
+#
+# Regenerating this file via `configlet sync` will:
+# - Recreate every `description` key/value pair
+# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications
+# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion)
+# - Preserve any other key/value pair
+#
+# As user-added comments (using the # character) will be removed when this file
+# is regenerated, comments can be added via a `comment` key.
+
+[5ce422f9-7a4b-4f44-ad29-49c67cb32d2c]
+description = "single bit one to decimal"
+
+[0cc3fea8-bb79-46ac-a2ab-5a2c93051033]
+description = "binary to single decimal"
+
+[f12db0f9-0d3d-42c2-b3ba-e38cb375a2b8]
+description = "single decimal to binary"
+
+[2c45cf54-6da3-4748-9733-5a3c765d925b]
+description = "binary to multiple decimal"
+
+[65ddb8b4-8899-4fcc-8618-181b2cf0002d]
+description = "decimal to binary"
+
+[8d418419-02a7-4824-8b7a-352d33c6987e]
+description = "trinary to hexadecimal"
+
+[d3901c80-8190-41b9-bd86-38d988efa956]
+description = "hexadecimal to trinary"
+
+[5d42f85e-21ad-41bd-b9be-a3e8e4258bbf]
+description = "15-bit integer"
+
+[d68788f7-66dd-43f8-a543-f15b6d233f83]
+description = "empty list"
+
+[5e27e8da-5862-4c5f-b2a9-26c0382b6be7]
+description = "single zero"
+
+[2e1c2573-77e4-4b9c-8517-6c56c5bcfdf2]
+description = "multiple zeros"
+
+[3530cd9f-8d6d-43f5-bc6e-b30b1db9629b]
+description = "leading zeros"
+
+[a6b476a1-1901-4f2a-92c4-4d91917ae023]
+description = "input base is one"
+
+[e21a693a-7a69-450b-b393-27415c26a016]
+description = "input base is zero"
+
+[54a23be5-d99e-41cc-88e0-a650ffe5fcc2]
+description = "input base is negative"
+
+[9eccf60c-dcc9-407b-95d8-c37b8be56bb6]
+description = "negative digit"
+
+[232fa4a5-e761-4939-ba0c-ed046cd0676a]
+description = "invalid positive digit"
+
+[14238f95-45da-41dc-95ce-18f860b30ad3]
+description = "output base is one"
+
+[73dac367-da5c-4a37-95fe-c87fad0a4047]
+description = "output base is zero"
+
+[13f81f42-ff53-4e24-89d9-37603a48ebd9]
+description = "output base is negative"
+
+[0e6c895d-8a5d-4868-a345-309d094cfe8d]
+description = "both bases are negative"

exercises/practice/all-your-base/LICENSE

@@ -0,0 +1,21 @@
+MIT License
+
+Copyright (c) 2026 Exercism
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.