introduction to number systems and different bases

TL;DR

Learn about numbers in different bases, starting with the base 10 that we commonly use in daily life.

Transcript

okay in this video I want to talk about numbers  in different bases if you haven't seen this kind   of things before you're going to really like  this because it's really really cool anyway I   will begin with the most common base of course  that's based test that's the base that we used   in real life in daily life so what that means is  that we a... Read More

Key Insights

• 🛟 The base 10 number system is widely used in daily life.
• 🖱️ Base 2, or binary, uses only two digits (0 and 1) and is fundamental in computer science.
• 🥇 Converting numbers between bases requires understanding the place value system.
• ⚾ Different bases, such as base 8, base 12, base 16, etc., can be used with additional digits or characters.
• ⚾ The base of a number determines its expansion and value representation.
• ⚾ Base 2 numbers are smaller in value compared to base 10 numbers.
• ⚾ Conversion between bases involves dividing or multiplying by the base and noting the remainders or multiplying by powers of the base.

Questions & Answers

Q: What is the base 10 number system?

The base 10 number system is the most common system we use in daily life, where numbers are written using 10 digits (0-9).

Q: What is base 2 and how does it work?

Base 2, also known as binary, uses only two digits (0 and 1) to represent numbers. Each digit's place has a value that increases as you move to the left.

Q: How do you convert a base 10 number to base 2?

To convert a base 10 number to base 2, you divide the number by 2 and record the remainder. Then, continue dividing the quotient until you reach 0, noting down the remainders in reverse order.

Q: How do you convert a base 2 number to base 10?

To convert a base 2 number to base 10, you multiply each digit by the corresponding power of 2 and sum up the results.

Summary & Key Takeaways

• The video introduces numbers in different bases, starting with base 10, which uses 10 digits (0-9).

• It explains the concept of base 2, or binary, where numbers are written using only two digits.

• The video demonstrates how to convert numbers between different bases and emphasizes the importance of the place value system.