Decimal to BCD Converter

A decimal-to-BCD (Binary Coded Decimal) converter is a type of code convert that converts a decimal number into its equivalent 4-bit binary code, called BCD code.

The truth table of the decimal to binary-coded decimal (BCD) converter is shown below.

The Boolean expressions for converting decimal to BCD are given below −

$$\mathrm{B_{0} \: = \: D_{1} \: + \: D_{3} \: + \: D_{5} \: + \: D_{7} \: + \: D_{9}}$$

$$\mathrm{B_{1} \: = \: D_{2} \: + \: D_{3} \: + \: D_{6} \: + \: D_{7}}$$

$$\mathrm{B_{2} \: = \: D_{4} \: + \: D_{5} \: + \: D_{6} \: + \: D_{7}}$$

$$\mathrm{B_{3} \: = \: D_{8} \: + \: D_{9}}$$

The logic circuit implementation of the decimal to BCD converter is shown in the following figure.

This logic circuit can perform the conversion of a given decimal number into a binary-coded decimal or BCD code.