# Explain binary coded decimal?

BCD uses binary digits as if they were decimal digits. There are two BCD numbers per one 8-bit byte. For example, 23 decimal would be coded as 0010 0011, while in binary (not BDC), it would be 0001 0111. Similarly, 255 in BCD is 0000 0010 0101 0101, while in binary, it would b simply 1111 1111. As you can see, BCD is not as compact as binary, but it does have mathematical and software properties that makes it desirable (some games use BDC to store a "score", for example, because it takes fewer CPU cycles to display a BCD than a binary number).

### Applications of bcd to binary code cnvertor?

Many non-integral values, such as decimal 0.2, have an infinite place-value representation in binary (.001100110011...) but have a finite place-value in binary-coded decimal (0.0010)[bcd]. Consequently a system based on binary-coded decimal representations of decimal fractions avoids errors representing and calculating such values. Rounding at a decimal digit boundary is simpler in BCD. Addition and subtraction in decimal does not require rounding.

### What is a number system in which each decimal digit is coded individually into binary?

BCD, which stands for Binary Coded Decimal. 4 bits are used to code each decimal digit. So we have 0000 for zero, up to 0111 for seven, then 1000 for eight and 1001 for nine. The others {ten through fifteen} are not used, as those numbers are formed from additional decimal digits. So if you wanted to form twelve, in BCD it is 0001 0010, for 12{base ten}