Binary Number System

Below is a step-by-step tutorial showing how to convert a binary number into Decimal, Octal, and Hexadecimal Number system. Example Binary Number Let’s use: Binary = 101101.101₂ This number has: Integer part → 101101 Fraction part → .101 1) Binary ➜ Decimal Conversion Rule Each binary digit represents a power of 2. Positions left of decimal:… 2⁵ 2⁴ 2³ 2² 2¹ 2⁰ Positions right of decimal:2⁻¹ 2⁻² 2⁻³ … Step 1: Convert Integer Part (101101₂) Write powers of 2 under each digit: Binary 1 0 1 1 0 1 Power 2⁵ 2⁴ 2³ 2² 2¹ 2⁰ Now multiply and add:…

A number system is a way of representing numbers using a set of digits or symbols according to certain rules. Each number system is defined by its base (or radix), which determines how many unique digits it uses. ________________________________________ 1. Decimal Number System (Base 10) The most commonly used system in daily life. Uses 10 digits: 0–9 Each position represents a power of 10. Example: 22610=2×102+2×101+6×100 ________________________________________ 2. Binary Number System (Base 2) Used in computers and digital electronics. Uses only 2 digits: 0 and 1 Each position represents a power of 2. Example: 111000102=1×27+1×26+1×25+0×24+0×23 + 0×22+1×21+0×20=22610 ________________________________________ 3. Octal…