Chapter 4, Problem 4.6QAP

Interpretation Introduction

Interpretation:

The best coding scheme to convert to decimal is to be determined.

Concept introduction:

BCD to decimal conversion:

A BCD number can be converted into its decimal equivalent by grouping it into four binary bits starting from LSB towards MSB progressively rightwards and then converting each four-bit binary number into its decimal equivalent.

Binary to decimal conversion:

A decimal equivalent can be obtained from a binary number by summing over decimal place value of each digit of binary, if it is $1$ and skipping if it is $0$.