Project report on decimal to bcd priority encoder

Project report on decimal to bcd priority encoder code#

The decimal weight of each decimal digit to the left increases by a factor of 10. So for example, 357 10В (Three Hundred and Fifty Seven) in decimal would be presented in Binary Coded Decimal as: So a 4-bit group represents each displayed decimal digit from 0000 for a zero to 1001 for a nine.

Each decimal digit is represented by its weighted binary value performing a direct translation of the number. In the BCD numbering system, a decimal number is separated into four bits for each decimal digit within the number. Nevertheless, binary coded decimal has many important applications especially using digital displays.

Project report on decimal to bcd priority encoder code#

However, the disadvantage is that BCD code is wasteful as the states between 1010 (decimal 10), and 1111 (decimal 15) are not used. The main advantage of binary coded decimal is that it allows easy conversion between decimal (base-10) and binary (base-2) form. This means that although 16 numbers ( 2 4) can be represented using four binary digits, in the BCD numbering system the six binary code combinations of: 1010 (decimal 10), 1011 (decimal 11), 1100 (decimal 12), 1101 (decimal 13), 1110 (decimal 14), and 1111 (decimal 15) are classed as forbidden numbers and can not be used. Whereas a 4-bit hexadecimal number is valid up to F 16 representing binary 1111 2, (decimal 15), binary coded decimal numbers stop at 9 binary 1001 2. So for the 10 decimal digits (0-to-9) we need a 4-bit binary code.Д«ut do not get confused, binary coded decimal is not the same as hexadecimal. The advantage of the Binary Coded Decimal system is that each decimal digit is represented by a group of 4 binary digits or bits in much the same way as Hexadecimal. We have seen previously that an n-bit binary code is a group of вЂњnвЂќ bits that assume up to 2 n distinct combinations of 1вЂ™s and 0вЂ™s. As we have seen in this Binary Numbers section of tutorials, there are many different binary codes used in digital and electronic circuits, each with its own specific use.ДЄs we naturally live in a decimal (base-10) world we need some way of converting these decimal numbers into a binary (base-2) environment that computers and digital electronic devices understand, and binary coded decimal code allows us to do that.