Decimal to binary calculator

This calculator takes and decimal or denary number and converts it to binary. To use the calculator: In the "Decimal Value" input field, enter a decimal number you wish to convert to binary. For example 100. Then click the "Convert" button.

The calculator will convert the decimal number to binary and display the result below the entry field

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Decimal Value:

How to convert a decimal value to binary Value?

To convert a decimal value to binary, you can use the following steps:

  1. Divide the decimal number by 2 and take the remainder.
  2. Write down the remainder (0 or 1).
  3. Divide the quotient from the previous step by 2, and repeat step 2.
  4. Continue this process until the quotient is equal to 0.
  5. The remainders, read from bottom to top, will give you the binary
    6. representation of the decimal number.

What is decimal and denary

Decimal and denary are terms that refer to the same number system: the base-10 system. In this system, there are 10 digits (0-9) and each digit can represent a multiple of a power of 10. For example, the number 123 in decimal/denary system represents 1100 + 210 + 3*1.

The terms "decimal" and "denary" are used interchangeably and refer to the same thing. Decimal is derived from the Latin word "decimus" which means "tenth," and denary is derived from the Latin word "denarius" which also means "tenth." Both terms refer to the fact that the base of this number system is 10.

Basically, there is no difference between decimal and denary, they both refer to the base-10 number system, which is the number system most commonly used in everyday life.

What is binary and why is it used?

Binary is a number system that uses only two digits, 0 and 1, and it is also known as base-2 system. Each digit in a binary number can represent a multiple of a power of 2, similar to how each digit in a decimal number represents a multiple of a power of 10.

Binary is used in digital systems, such as computers, because it is easy to represent the two states of a digital signal, on and off, as 1 and 0, respectively.

The foundation of digital electronics is based on the binary system, because electronic devices like transistors can be in one of two states, on or off, which can be represented by 1 or 0 respectively.

In addition to its use in digital electronics, binary is also used in other areas such as machine learning, image processing, and cryptography.

Binary is also used as a way to represent numbers in other number systems such as hexadecimal or octal, which are also used in digital systems and it also used as a way to represent characters in computers.

To summarise, binary is used because it is easy to implement in electronic devices, it's efficient for data storage, it's easy to convert to other number systems and it can be used to represent characters and symbols.