BCD binary coded decimal Calculator

Formula

To calculate the BCD equivalent:

\[ \text{BCD} = (D1 \times 1000) + (D2 \times 100) + (D3 \times 10) + D4 \]

Where:

\(\text{BCD}\) is the Binary Coded Decimal equivalent
\(D1, D2, D3, D4\) are the decimal digits in the thousands, hundreds, tens, and ones place respectively

What is BCD (Binary Coded Decimal)?

Binary Coded Decimal (BCD) is a class of binary encodings of decimal numbers where each decimal digit is represented by a fixed number of bits, usually four or eight. It is a system of writing numbers that assigns a four-digit binary code to each digit 0 through 9 in a decimal (base-10) numeral. The four binary digits, in BCD, represent the decimal equivalent. BCD is used in digital systems where a numeric value is to be displayed, especially in systems where conversions to and from human-readable representations are necessary.

Example Calculation 1

Let's assume the following value:

Decimal Number = 1234

Using the formula:

\[ \text{BCD} = (1 \times 1000) + (2 \times 100) + (3 \times 10) + 4 = 1234 \]

The BCD equivalent is 0001 0010 0011 0100.

Example Calculation 2

Let's assume the following value:

Decimal Number = 5678

Using the formula:

\[ \text{BCD} = (5 \times 1000) + (6 \times 100) + (7 \times 10) + 8 = 5678 \]

The BCD equivalent is 0101 0110 0111 1000.