1. Convert Online⇨
2. Mathematics⇨
3. Numbers⇨
4. Decimal to Binary

{
  "topic": "decimal-binary",
  "input_types": [
    "int"
  ],
  "input_labels": [
    "Decimal"
  ],
  "input_values": [
    13
  ],
  "type": "Convert",
  "title": "Decimal to Binary",
  "category": "Numbers",
  "function": "function myFunc(arr) {\n        let x = arr[0];\n        if (isNaN(x) || x < 0 || !Number.isInteger(x)) return \"Invalid input.\";\n        return x.toString(2);\n      }",
  "op_label": "Binary",
  "explanation": "This converter converts the given decimal number to binary.",
  "content": "<p>Decimal to binary conversion is the process of converting a decimal (base-10) number into its binary (base-2) representation.</p><p>In the decimal system, numbers are expressed using the digits 0 through 9, while in the binary system, only 0 and 1 are used.</p><p>The decimal to binary conversion involves repeatedly dividing the decimal number by 2 and recording the remainders until the quotient becomes 0.</p><h2>Stesp to convert decimal to binary</h2><p>Here are the steps to convert a decimal number to binary:</p><ol class=\"steps\"><li>Divide the decimal number by 2.</li><li>Record the remainder (it will be either 0 or 1).</li><li>Divide the quotient obtained in step 1 by 2.</li><li>Record the remainder again.</li><li>Repeat steps 3 and 4 until the quotient becomes 0.</li><li>The binary equivalent is the sequence of remainders read in reverse order.</li></ol><h2>Example</h2><p>Let's take an example to illustrate the process. Suppose we want to convert the decimal number 13 to binary:</p><ol class=\"steps\"><li>13 ÷ 2 = 6 with a remainder of 1 (record 1)</li><li>6 ÷ 2 = 3 with a remainder of 0 (record 0)</li><li>3 ÷ 2 = 1 with a remainder of 1 (record 1)</li><li>1 ÷ 2 = 0 with a remainder of 1 (record 1)</li></ol><p>Reading the remainders in reverse order gives us the binary equivalent: 1101.</p></p>Therefore, <strong>13</strong> in decimal is equal to <strong>1101</strong> in binary.</p>"
}