Digital Circuits & Design, 1st Education by Pearson

2.80 | Chapter 2

2.15.3 | Five-bit Codes

Some 5-bit BCD codes that have parity contained within each code for ease of error detec-

tion are shown in Table 2.27. These are 63210, 2-out-5, shift-counter and 51111.

The 63210 is a weighted code (except for the decimal digit 0). It has the useful error-

detecting property that there are exactly two 1’s in each code group. This code is used for

storing data on magnetic tapes.

The 2-out-of-5 code is a non-weighted code. It has exactly two 1’s in each code group of

5 bits. This code is used in the telephone and communication industries. At the receiving

end, the receiver can check the number of 1s in each ...