diff --git a/crates/ruff_linter/resources/test/fixtures/refurb/FURB116.py b/crates/ruff_linter/resources/test/fixtures/refurb/FURB116.py
index 9c968e32aa..b95f9147e7 100644
--- a/crates/ruff_linter/resources/test/fixtures/refurb/FURB116.py
+++ b/crates/ruff_linter/resources/test/fixtures/refurb/FURB116.py
@@ -17,3 +17,8 @@ print(bin(int(f"{num}"))[2:])  # FURB116 (no autofix)
 ## invalid
 print(oct(0o1337)[1:])
 print(hex(0x1337)[3:])
+
+# https://github.com/astral-sh/ruff/issues/16472
+# float and complex numbers should be ignored
+print(bin(1.0)[2:])
+print(bin(3.14j)[2:])
diff --git a/crates/ruff_linter/src/rules/refurb/rules/fstring_number_format.rs b/crates/ruff_linter/src/rules/refurb/rules/fstring_number_format.rs
index d71772e6de..0d18e8d06f 100644
--- a/crates/ruff_linter/src/rules/refurb/rules/fstring_number_format.rs
+++ b/crates/ruff_linter/src/rules/refurb/rules/fstring_number_format.rs
@@ -1,6 +1,6 @@
 use ruff_diagnostics::{Diagnostic, Edit, Fix, FixAvailability, Violation};
 use ruff_macros::{derive_message_formats, ViolationMetadata};
-use ruff_python_ast::{self as ast, Expr, ExprCall};
+use ruff_python_ast::{self as ast, Expr, ExprCall, Number};
 use ruff_text_size::Ranged;
 
 use crate::checkers::ast::Checker;
@@ -110,6 +110,17 @@ pub(crate) fn fstring_number_format(checker: &Checker, subscript: &ast::ExprSubs
         return;
     };
 
+    // float and complex numbers are false positives, ignore them.
+    if matches!(
+        arg,
+        Expr::NumberLiteral(ast::ExprNumberLiteral {
+            value: Number::Float(_) | Number::Complex { .. },
+            ..
+        })
+    ) {
+        return;
+    }
+
     // Generate a replacement, if possible.
     let replacement = if matches!(
         arg,