BCD TO BINARY CONVERSION IN DIGITAL LOGIC DESIGN.pptx

BCD (Binary Coded Decimal) to binary conversion is a process of converting data from BCD format to binary format. BCD is a binary representation of decimal numbers, where each decimal digit is represented by its 4-bit binary equivalent. For example, the decimal number 5 is represented as 0101 in BCD.

1. BCD TO BINARY CONVERSION

2. DEFINITION: BCD (Binary-Coded Decimal) to Binary conversion is a process of converting a number represented in BCD format into its equivalent binary representation. In BCD, each decimal digit is represented by a 4-bit binary number. For example, the decimal number 57 is represented in BCD as 0101 0111. BCD to Binary conversion involves taking a BCD number and converting each decimal digit into its 4-bit binary equivalent.

3. METHOD: Split the BCD number : Divide the BCD number into groups of four bits, with each group representing a decimal digit. Convert each group to binary: Convert each 4-bit BCD group into its binary equivalent using the BCD-to-binary conversion chart. Combine the binary digits: Combine the binary equivalents of each group to get the final binary representation of the number.

4. BCD TO BINARY CONVERSION CHART:

5. EXPLAINATIONS: Let take the BCD number 0101 0111 as an example. Split into groups: 0101 and 0111 Convert each group: 0101 in binary is 5 0111 in binary is 7 Combine the binary digits: 0101 0111 in BCD is 0101 0111 in binary, which is 57 in decimal.

6. CONCLUSION: BCD to Binary conversion is straightforward and involves converting each BCD digit into its binary equivalent. This conversion is commonly used in digital systems where decimal numbers are represented in binary form.

7. RESULT: The result of BCD to Binary conversion is a binary number that represents the same value as the original BCD number but in binary format. For example, converting BCD 0101 0111 results in binary 0101 0111, which is decimal 57.

8. THE END