1372 THE BELL SYSTEM TECHNICAL JOURNAL, NOVEMBER 1957 



Table IX — Assocl«lted Binary Digits for Correction 



OF Small Errors 



Table X — Reflected Quibinary Code 



to an 8 or a 6, but only the correction to 6 would correspond to a 

 change in the second binary digit of the associated binary message. 



If the first of the associated binary digits is the odd or even indication 

 of a quinary component of a decimal digit, a decimal digit can convey 

 ten states rather than the four states of the associated binary digits. 

 The combination of binary and quinary digits shown in Table X may 

 be called a reflected quibinary code because of its analogy with the re- 

 flected binary code.* 



If a method were available for transmitting without error (e.g., by 

 using an error correcting code) a message composed of the associated 

 binary digits in a base b code, small errors could be corrected in the 

 base h digits. 



An examination of Table X for resolving a decimal digit into binary 

 and quinary components, reveals that a change of ±1 on any decimal 



* The reflected binary code lias the property that each increment changes only 

 one binary digit; for example, the eight successive words of a three binary digit 

 reflected l)inary code are 000, 001, Oil, 010, 110, 111, 101, 100. 



