Number system conversion notes pdf

Number System. Number system is the way to represent everything in the form of digits. There are four types of number system. 1. Binary Number System. Binary number system can contain two digits 0 and 1. So base of binary number system is 2. Binary numbers are represented with 2 as subscript to the value. Number System Conversions. Conversion to Base 10. Decimal to Binary Conversion. Decimal to Octal Conversion. Decimal to Hexadecimal Conversion. Converting Any Base to Any Other Base. Pick an arbitrary five-digit number such as 83,762. You know that the value of this number is (8 × 10,000) + (3 × 1,000) + (7 × 100) + (6 × 10) + (2 × 1) In other words, in the base-10 number system, the digits occupy specific positions in the number. 10.1 The Decimal Number System: The Decimal number system is a number system of base or radix equal to 10, which means that there are 10, called Arabic numerals, Example 6: Convert the number 0.6 to binary: Solution: Carry . 238 Math 123 . No. Systems & Arithmetic Operations 0.6 2 =1.2 1 (M S B) 0.2 2 = 0.4 0