From e6ac5e22de3c081b3c2cb160c4db65376d06c907 Mon Sep 17 00:00:00 2001
From: ShivangSrivastava <shivangsrivastava157@gmail.com>
Date: Thu, 10 Oct 2024 18:31:23 +0530
Subject: [PATCH] added fraction decimal to binary

---
 conversions/fraction_decimal_to_binary.dart | 60 +++++++++++++++++++++
 1 file changed, 60 insertions(+)
 create mode 100644 conversions/fraction_decimal_to_binary.dart

diff --git a/conversions/fraction_decimal_to_binary.dart b/conversions/fraction_decimal_to_binary.dart
new file mode 100644
index 0000000..1eb7e09
--- /dev/null
+++ b/conversions/fraction_decimal_to_binary.dart
@@ -0,0 +1,60 @@
+// Author: ShivangSrivastava
+// Email: shivangsrivastava157@gmail.com
+
+/// Converts a decimal number to binary with optional precision for fractional part
+/// https://www.geeksforgeeks.org/convert-decimal-fraction-binary-number/
+String decimalToBinary(double value, [int precision = 10]) {
+  bool isNegative = value.isNegative;
+  if (isNegative) {
+    value = -value;
+  }
+
+  int intPart = value.toInt();
+  String binaryOfIntPart = intToBinary(intPart);
+
+  double fracPart = value - intPart;
+  String binaryOfFracPart = fracToBinary(fracPart, precision);
+
+  return isNegative
+      ? "-$binaryOfIntPart.$binaryOfFracPart"
+      : "$binaryOfIntPart.$binaryOfFracPart";
+}
+
+/// Converts an integer to binary string
+String intToBinary(int value) {
+  String binary = "";
+
+  while (value > 0) {
+    binary = (value % 2).toString() + binary;
+    value = value ~/ 2;
+  }
+
+  return binary;
+}
+
+/// Converts a fractional part to binary string up to given precision
+String fracToBinary(double value, [int precision = 10]) {
+  StringBuffer binary = StringBuffer();
+  double fraction = value;
+
+  for (int i = 0; i < precision; i++) {
+    fraction *= 2;
+    if (fraction >= 1) {
+      binary.write('1');
+      fraction -= 1;
+    } else {
+      binary.write('0');
+    }
+
+    if (fraction == 0) {
+      break;
+    }
+  }
+
+  return binary.toString();
+}
+
+void main() {
+  String result = decimalToBinary(10.25);
+  print(result);
+}