Decimal to Binary Converter

Decimal to Binary Converter is a tool that converts decimal numbers to binary numbers. It works by repeatedly dividing the decimal number by 2 and taking the remainder as the next binary digit.

Decimal to Binary Converter

Decimal to Binary Converter Tool

How to Convert Decimal to Binary

To convert a decimal number to binary, you can follow these steps:

  1. Start with the decimal number you want to convert.
  2. Divide the decimal number by 2 and write down the remainder.
  3. Divide the quotient obtained in step 2 by 2 again and write down the remainder.
  4. Repeat step 3 until the quotient becomes 0.
  5. Write down the remainder obtained in reverse order. This will give you the binary representation of the decimal number.

Let’s go through an example to illustrate the process. Let’s convert the decimal number 25 to binary:

  1. Start with 25.
  2. Divide 25 by 2, you get a quotient of 12 and a remainder of 1.
  3. Divide 12 by 2, you get a quotient of 6 and a remainder of 0.
  4. Divide 6 by 2, you get a quotient of 3 and a remainder of 0.
  5. Divide 3 by 2, you get a quotient of 1 and a remainder of 1.
  6. Divide 1 by 2, you get a quotient of 0 and a remainder of 1.

Now, if we write down the remainder in reverse order, we get 11001. Therefore, the decimal number 25 is equal to 11001 in binary.

You can use this process to convert any decimal number to binary.

Digit Values in a Binary Number

Here’s an updated table that includes the Most Significant Bit (MSB), Binary Digit, and Least Significant Bit (LSB) for the decimal values 0 to 8:

Decimal ValueMSBBinary DigitLSB
0000
1011
20102
30113
401004
501015
601106
701117
8110008

In this table, the MSB represents the Most Significant Bit, the Binary Digit column represents the binary representation of the decimal value, and the LSB represents the Least Significant Bit.