First, take each digit of the decimal number and apply the formula **(D1 × 1000) + (D2 × 100) + (D3 × 10) + D4**. Add up the results to get the **BCD** equivalent of the number

A **BCD Calculator** converts decimal numbers into their Binary Coded Decimal (BCD) format. This tool is useful in digital electronics for converting and calculating BCD values from decimal numbers for various computational applications.

**Formula:**

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

Where:

Variable |
Meaning |
---|---|

BCD | Binary Coded Decimal value |

D1 | Most significant digit (thousands place) |

D2 | Hundreds place |

D3 | Tens place |

D4 | Ones place |

**Example Calculation:**

Let’s say you want to convert the decimal number 473 into its BCD equivalent. We take each digit and apply the formula:

For 473:

- $D1 = 4$ (thousands place)
- $D2 = 7$ (hundreds place)
- $D3 = 3$ (tens place)
- $D4 = 0$ (ones place, but omitted in this case)

$\text{BCD} = (4 \times 1000) + (7 \times 100) + (3 \times 10) = 4000 + 700 + 30 = 4730 \, \text{in BCD form}$

Step |
Calculation |
---|---|

Thousands place (D1) | $4 \times 1000 = 4000$ |

Hundreds place (D2) | $7 \times 100 = 700$ |

Tens place (D3) | $3 \times 10 = 30$ |

Ones place (D4) | $0 \times 1 = 0$ (omitted) |

Binary Coded Decimal (BCD) | 4730 |

**Answer**: The BCD representation of 473 is **4730**.

**What is a BCD (Binary Coded Decimal) Calculator?**

A **BCD Calculator** converts decimal numbers into their **Binary Coded Decimal** equivalent, which represents each digit of a decimal number separately in its binary form.

The formula **BCD = (D1 × 1000) + (D2 × 100) + (D3 × 10) + D4** is used to calculate the BCD value for each digit of the decimal number.

This tool is widely used in digital electronics and computing, where numbers need to be represented and processed in binary form.

It answers questions like **“how do you calculate BCD?”** or **“what is the BCD of a number like 45?”** and is used in applications involving digital devices and coding.