BCD binary coded decimal Calculator

Calculate BCD Equivalent

Formula

To calculate the BCD equivalent:

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

Where:

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:

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:

Using the formula:

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

The BCD equivalent is 0101 0110 0111 1000.