Object Oriented Programming Through Java by Pearson

Number Systems

Introduction

Decimal System: We use the decimal system in our daily lives. The allowable digits in decimal

system are:

0 1 2 3 4 5 6 7 8 9. The base is 10. The lowest number = 0 ; the highest number = 9. The counting

goes 0…99, 100 and so on.

Binary System: The computer uses the binary system for its internal representation. The dig-

its allowed are: 0 1. The base is 2. The lowest number = 0 ; the highest number = 1. The counting

goes: 0 1 10 11 100 101 110 111 1000… The count is shown in Table B.1.

Table B.1 | Decimal numbers and their binary equivalents

01 2 3456789

0 0 1 10 11 100 101 110 111 1000 1001

1 1010 1011 1100 1101 1110