BCD to binary code converter

Conversion from BCD code to Binary code

1. BCD to Binary converter By G.KIRUTHIKAMANI

2. Introduction BCD refers to Binary Coded Decimal. BCD is a way of representing digital numbers as a string of bits suitable for electronic systems It is fast and efficient system to convert decimal to binary system compared to pure binary system BCD is a self complimenting code

3. BCD to Binary code conversion Here 4 bit BCD to binary number is considered. In case of BCD number it is similar to binary till decimal value 9 After 9,each digit of decimal representation takes 4 digits in BCD

4. BCD to Binary code conversion Eg: Decimal Number BCD Number Binary Number 9 1001 1001 10 00010000 1010 16 00010110 1111

5. Truth Table for BCD to Binary number conversion Decimal Number BCD Number ABCD Binary Number WXYZ 0000 0000 1 0001 0001 2 0010 0010 3 0011 0011 4 0100 0100 5 0101 0101 6 0110 0110 7 0111 0111 8 1000 1000 9 1001 1001

6. BCD to Binary number conversion After decimal number 9, value 10 is given by 0001 0000(BCD) and denoted by binary number XXXX. Value 11 is given by 00010001(BCD) denoted by binary number XXXX and so on. The ouputs for binary after 9 of BCD is considered as don’t care.

7. K-map for W and X x x x x 1 1 x x AB CD 00 01 11 10 00 01 11 10 1 1 1 1 x x x x x x AB CD 00 01 10 00 01 11 10 W=A 11 X=B

8. K map for Y and Z 1 1 1 1 x x x x x x AB CD 00 01 10 00 01 11 10 1 1 1 1 x x x x 1 x x AB CD 00 01 10 00 01 11 10 11 11 Y=C Z=D

9. Circuit for BCD to Binary Converter W X Y Z A B C D