Decimal to BCD

Convert decimal numbers to Binary Coded Decimal (BCD) instantly with step-by-step visualization.

🔢 Decimal to BCD

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BCD Result

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What Is Decimal to BCD

Binary Coded Decimal (BCD) is a class of binary encodings of decimal numbers where each decimal digit is represented by a fixed number of binary digits, usually four.

BCD is used in systems where precise decimal rounding is important, such as financial calculations, digital clocks, and electronic meters.

🔄 Interactive BCD Explorer

How to Convert Decimal to BCD

To convert decimal to BCD, take each individual decimal digit and convert it to its 4-bit binary equivalent independently.

For example, decimal 42 becomes 0100 0010 in BCD — the digit 4 is 0100 and the digit 2 is 0010.

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Frequently Asked Questions

BCD (Binary Coded Decimal) encodes each decimal digit separately into 4 binary bits. Unlike standard binary, BCD preserves the decimal digit structure.
In binary, 42 = 101010 (6 bits). In BCD, 42 = 0100 0010 (8 bits). BCD uses more bits but preserves decimal digit boundaries.
BCD is commonly used in digital clocks, calculators, financial systems, and any application requiring exact decimal representation.
BCD avoids rounding errors in decimal arithmetic and makes it easy to display numbers on 7-segment displays.
Standard BCD represents integers. Fractional BCD exists but requires additional encoding for the decimal point position.

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