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

1×23 + 1×22 + 0×21 + 1×20

8 + 4 + 0 + 1 = 13

{
  "topic": "binary-decimal",
  "input_types": [
    "text"
  ],
  "input_labels": [
    "Binary"
  ],
  "input_values": [
    1101
  ],
  "type": "Convert",
  "title": "Binary to Decimal",
  "category": "Numbers",
  "function": "function myFunc(arr) {\n        let x = arr[0];\n        if (/^[01]+$/.test(x)) return parseInt(x, 2);\n        else return \"Invalid input.\";\n      }",
  "op_label": "Decimal",
  "explanation": "This converter converts the given binary number to decimal number.",
  "content": "<p>Binary to decimal conversion is the process of converting a binary (base-2) number into its decimal (base-10) representation.</p><p>In the binary system, numbers are expressed using only the digits 0 and 1, while in the decimal system, numbers are represented using the digits 0 through 9.</p><h2>Steps to convert binary to decimal</h2><p>Here are the steps to convert a binary number to decimal:</p><ol class=\"steps\"><li>Start from the rightmost digit (the least significant bit).</li><li>Assign a place value of 2<sup>0</sup> to the rightmost bit (1) and increase the exponent by 1 for each subsequent bit to the left (2<sup>1</sup>, 2<sup>2</sup>, and so on).</li><li>Multiply each bit by its corresponding place value.</li><li>Sum up all the results to get the decimal equivalent.</li></ol><h2>Example</h2><p>Let's take an example to illustrate the process. Suppose we want to convert the binary number <strong>1101</strong> to decimal:</p><pre>1×2<sup>3</sup> + 1×2<sup>2</sup> + 0×2<sup>1</sup> + 1×2<sup>0</sup></pre><p>Calculating the values:</p><pre>8 + 4 + 0 + 1 = 13</pre><p>Therefore, the binary number <strong>1101</strong> is equal to the decimal number <strong>13</strong>.</p>"
}