diff --git a/main.py b/main.py
index 0194570..c222f00 100755
--- a/main.py
+++ b/main.py
@@ -67,6 +67,7 @@ symbol_to_name = {
     "==": "nxor",
     "|!": "orn",
     "&!": "andn",
+    "?:": "ternary",
 };
 
 def determine_available_operators(args):
@@ -201,6 +202,8 @@ def calculate_simplifications(args, available_operators):
                     return extract_variables(inner);
                 case (_, left, right):
                     return extract_variables(left) + extract_variables(right);
+                case (_, cond, true, false):
+                    return extract_variables(cond) + extract_variables(true) + extract_variables(false);
                 case _:
                     print(exp);
                     assert(not "TODO");
@@ -225,6 +228,10 @@ def calculate_simplifications(args, available_operators):
         '==': lambda x, y: ~(x ^ y), # nxor
     }
 
+    ternary_operators = {
+        '?:': lambda x, y, z: (x & y) | (~x & z), # ternary
+    };
+
     def print_status():
         numerator = 65536 - todo_count[0];
         denominator = 65536
@@ -307,6 +314,29 @@ def calculate_simplifications(args, available_operators):
 
                     consider(binary_truthtable, binary_expression, binary_cost);
 
+        # consider ternary operators:
+        for name, function in sorted(ternary_operators.items()):
+            if name in available_operators:
+                s = sorted(lookup.items());
+                for a_truthtable, a_expression in s:
+                    for b_truthtable, b_expression in s:
+                        # x ? y : z
+                        ternary_truthtable = function(
+                            my_truthtable, a_truthtable, b_truthtable) & M;
+                        ternary_expression = (name,
+                            my_expression, a_expression, b_expression);
+                        ternary_cost = 1 + my_cost + \
+                            costs[a_truthtable] + costs[b_truthtable];
+
+                        consider(ternary_truthtable, ternary_expression, \
+                            ternary_cost);
+
+                        # y ? x : z
+                        # assert(not "TODO");
+
+                        # z ? y : z
+                        # assert(not "TODO");
+
     return costs, lookup
 
 pathname = "simplifications.bin"
@@ -393,7 +423,7 @@ def parse(text):
                     self.tokendata = self.text[self.position];
                     self.position += 1;
 
-                case "(" | ")":
+                case "(" | ")" | "?" | ":":
                     self.tokenkind = self.text[self.position];
                     self.position += 1;
 
@@ -551,8 +581,30 @@ def parse(text):
 
         return left;
 
+    def parse_ternary(tokenizer):
+        exp = parse_ors(tokenizer);
+
+        if tokenizer.tokenkind in ("?", ):
+            cond = exp;
+
+            tokenizer.next();
+
+            true = parse_ors(tokenizer);
+
+            if tokenizer.tokenkind != ":":
+                raise BaseException("expecting ':' in ternary expression, "
+                    "found: '{tokenizer.tokenkind}'!");
+
+            tokenizer.next();
+
+            false = parse_ternary(tokenizer);
+
+            return ("?:", cond, true, false);
+        else:
+            return exp;
+
     def parse_root(tokenizer):
-        return parse_ors(tokenizer);
+        return parse_ternary(tokenizer);
 
     tokenizer = Tokenizer(text);
 
@@ -608,6 +660,10 @@ def evaluate(expr):
         case ("!&", left, right):
             return ~(evaluate(left) & evaluate(right)) & M;
 
+        case ("?:", cond, left, right):
+            cond = evaluate(cond);
+            return (cond & evaluate(left)) | (~cond & evaluate(right));
+
         case _:
             print(f'expr = {expr}');
             assert(not "TODO");