Morris Mano Edition 3 Exercise 1 Question 22 (Page No. 34)

Question

The (r-1)’s complement of the base-6 number is called 5’s complement.

1. Determining the procedure for obtaining the 5’s complement of the base 6 numbers.
2. Obtain the 5’s complement of the $(543210) _6$.
3. Design a 3-bit code to represent each of the 6 digits of the base-6 number. Make the binary code self-complementing so that 5’s complement can be obtained by changing 1’s to 0’s and 0’s to 1’s in the bits of the coded number.

Answer 1

212 code is self complementing code for base 6 as sum =5