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A BCD (Binary-Coded Decimal) to decimal converter is a digital logic circuit or a software algorithm that converts a BCD number, which is a way of representing decimal numbers using a binary code, into a decimal number. The BCD code uses four bits to represent each decimal digit, allowing for representation of decimal numbers using binary arithmetic. This system of numerical representation can be useful for embedded systems, or other systems that require both binary and decimal calculations. This online BCD (8-4-2-1) to decimal converter tool allow users to convert from base BCD to base 10 integer.

## What is BCD to Decimal Converter?

In computing and electronic systems, a binary-coded decimal (BCD) is a method of representing each decimal digit by its binary sequence. The BCD to Decimal Converter (BDC) converts a binary-coded decimal (BCD) to an integer. A BCD to decimal converter is typically implemented as a combinatorial circuit that performs the conversion through a series of logical operations, such as AND, OR, and NOT gates. The circuit receives a BCD number as input, which is typically represented as a group of 4-bit words, one for each decimal digit of the number. The converter then applies a series of logical operations on the input to produce the corresponding decimal digits.

## How does conversion from BCD to decimal work?

BCD to decimal conversion is a process of converting a binary-coded decimal number, which is a way of representing decimal numbers using a binary code, into a decimal number. The process involves a series of steps to convert each BCD digit to its corresponding decimal value.

1. The first step in BCD to decimal conversion is to split the BCD value into groups of 4 bits, with each group representing a decimal digit in the final result.

2. Each 4-bit BCD digit is then converted to its corresponding decimal value. This can be done by treating each 4-bit group as a binary number and converting it to decimal using standard binary-to-decimal conversion methods.

3. After converting each BCD digit to decimal, the final step is to concatenate all the decimal digits obtained to form the final decimal number.

4. The resulting decimal number represents the original BCD value in decimal form.

## Why is BCD called 8421?

BCD is sometimes referred to as "8421 code" because of the specific weighting pattern used in the code. The weighting pattern assigns a unique binary weight to each of the four bits in each BCD digit. The first bit (the leftmost bit) is given a weight of 8, the second bit is given a weight of 4, the third bit is given a weight of 2, and the fourth bit (the rightmost bit) is given a weight of 1.

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