Base Problem 1.2

Ask

A new Binary Coded Pentary (BCP) number system is proposed in which every digit of a base-5 number is represented by its corresponding 3-bit binary code. For example, the base-5 number 24 will be represented by its BCP code 010100. In this number system, the BCP code 10010010001001 corresponds to the following number in base-5 system

(a) 22211

(b) 11122

(c) 12244

(d) 44421

Answer is (a)

Concept

Explanation

Group the bits considering three each from right-most bit i.e.

                               10 ---- 010 ---- 010 ---- 001 ---- 001

Now decode them   2          2            2           1           1