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60 changes: 60 additions & 0 deletions conversions/fraction_decimal_to_binary.dart
Original file line number Diff line number Diff line change
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// Author: ShivangSrivastava
// Email: [email protected]

/// 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);
}