From cac7f3e868e98281f9f2b841101b09f02cf664fd Mon Sep 17 00:00:00 2001
From: Anhgelus Morhtuuzh <william@herges.fr>
Date: Sat, 13 Sep 2025 00:53:47 +0200
Subject: Ajout du scripts bin_to_hex

---
 .../1- Repr\303\251sentation de l'information.md"  | 18 ++--------
 .../scripts/bin_to_hex.exs                         | 38 ++++++++++++++++++++++
 2 files changed, 40 insertions(+), 16 deletions(-)
 create mode 100644 semestre 3/architecture des ordinateurs/scripts/bin_to_hex.exs

(limited to 'semestre 3/architecture des ordinateurs')

diff --git "a/semestre 3/architecture des ordinateurs/1- Repr\303\251sentation de l'information.md" "b/semestre 3/architecture des ordinateurs/1- Repr\303\251sentation de l'information.md"
index 9545578..ee2a51c 100644
--- "a/semestre 3/architecture des ordinateurs/1- Repr\303\251sentation de l'information.md"	
+++ "b/semestre 3/architecture des ordinateurs/1- Repr\303\251sentation de l'information.md"	
@@ -240,21 +240,7 @@ def bin_to_hex(b):
 	return hex
 ```
 
-```elixir
-def bin_to_hex(b) do
-	bin_to_hex_rec(b, [])
-end
-
-defp bin_to_hex_rec(before, after) when before != "" do
-	{b, a} = String.split_at(before, -4)
-	#TODO: convert algo
-	bin_to_hex_rec(b, [a | after])
-end
-
-defp bin_to_hex_rec("", after) do
-	after
-end
-```
+Voir le dossier `scripts` pour la version elixir.
 
 Pour réaliser une addition en binaire, on a besoin que les deux mots fassent la même taille
 
@@ -290,4 +276,4 @@ $$ = \mathrm{0b}1\ldots1 = -1 $$
 Donc, on a que $\bar N$ doit être décalé de 1, d'où le plus 1
 |> cela est dû au fait que l'intervalle ne soit pas symétrique
 
-Voir le moodle pour la suite
\ No newline at end of file
+Voir le moodle pour la suite
diff --git a/semestre 3/architecture des ordinateurs/scripts/bin_to_hex.exs b/semestre 3/architecture des ordinateurs/scripts/bin_to_hex.exs
new file mode 100644
index 0000000..8d6e629
--- /dev/null
+++ b/semestre 3/architecture des ordinateurs/scripts/bin_to_hex.exs	
@@ -0,0 +1,38 @@
+defmodule Conv do
+  def bin_to_hex(b) do
+	bin_to_hex_rec(b, [])
+  end
+
+  defp bin_to_hex_rec(before, aft) when before != "" do
+  	{b, a} = String.split_at(before, -4)
+	s = ["0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "a", "b", "c", "d", "e", "f"] 
+	bin_to_hex_rec(b, [Enum.at(s, bin_to_dec(a)) | aft])
+  end
+
+  defp bin_to_hex_rec("", aft) do
+    aft
+  end
+
+  def bin_to_dec(b) do
+    bin_to_dec_rec(b, 0, 0)
+  end
+
+  defp bin_to_dec_rec(before, aft, i) when before != "" do
+    {b, a} = String.split_at(before, -1)
+    bin_to_dec_rec(b, case a do
+      "0" -> aft
+      "1" -> aft + Integer.pow(2, i)
+    end, i + 1)
+  end
+
+  defp bin_to_dec_rec("", aft, _i) do
+    aft
+  end
+end
+
+Conv.bin_to_hex("1111")
+|> IO.puts() # must print f
+
+Conv.bin_to_hex("11101011")
+|> IO.puts() # must print EB
+
-- 
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