Learn: Binary Number System

Welcome!Today we'll learn about the binary number system, an essential concept in computer science. Let's break it down step by step!

What is the Binary Number System?The binary number system is a way of representing numbers using only two digits: 0 and 1. Computers use binary because digital circuits can easily represent these two states: on (1) and off (0).

How does Binary Work?Binary is a base 2 number system, unlike the decimal system, which is base 10. Each binary digit (bit) represents a power of 2, starting from 20 on the rightmost bit.

Converting Binary to DenaryTo convert a binary number to denary (decimal), add up the values of all the bits where there is a 1. For example, the binary number 101 is calculated as:1 × 22 = 40 × 21 = 01 × 20 = 1Total: 4 + 0 + 1 = 5

Binary AdditionBinary addition works similarly to decimal addition but only uses digits 0 and 1. When adding two 1s, the result is 0 with a carry of 1. For example:0 + 0 = 00 + 1 = 11 + 0 = 11 + 1 = 10 (carry 1)

Binary PrefixesIn computer science, data sizes are measured using prefixes like kilobyte, megabyte, and gigabyte. These prefixes are based on powers of 2:1 kilobyte (KB) = 1024 bytes1 megabyte (MB) = 1024 kilobytes1 gigabyte (GB) = 1024 megabytes

Review Time!Great work! You've learned about binary numbers, conversions, addition, and prefixes. Let's test your understanding with a few questions.