In this lecture, we are going to learn about the 4 bit binary to bcd converter in very detail with a truth table, K-map, and circuit realization of Binary to BCD converter. Before starting to know about this conversion we will see steps to be followed for this conversion.

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**4 Bit Binary To BCD Converter**

**Steps to Be followed:**

We will convert a 4-bit binary to 5-bit BCD words. TH procedure to be followed is as follows:

**Step 1:** Write the truth table showing the relation between binary as input and BCD as output.

**Step 2: **For each BCD output, write a K-map.

**Step 3:** From the k-map obtain a simplified expression for each BCD output in terms of binary inputs.

**Step 4:** Realize the code converter using the basic gates.

**Binary To BCD Converter Truth Table**

- The below table shows the truth table for Binary to BCD.

- B3 B2 B1 B0 is the four-bit binary word with B3 acting as MSB.

- D4 D3 D2 D1 D0 is the five BCD output.

**Binary To BCD Converter K-Map**

**Binary To BCD Converter Circuit**

The Binary to BCD converter circuit is shown in the figure: