The Number 0 and 10 in General Number Systems
In this video I go over a quick overview of number systems, and show how the base or radix (Latin for "root") serves as the transition point when counting past the single digits. For example, in the base ten number system: the single digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and then the transition is 9 + 1 = 10. Then the cycle repeats again to 11, 12, 13, etc., until the transition becomes 20.
For the base four number system, the single digits are 0, 1, 2, 3 and then the transition is 3 + 1 = 10, and the cycle repeats 11, 12, 13, 20, 21, etc.
For the base two or binary number system, the single digits are just 0 & 1, and then the transition is 1 + 1 = 10, and the cycle repeats 11, 100, 101, 110, 111, 1000, 1001, etc.
Thus even though "10" is associated with the most common base ten number system, keep in mind that it is merely a transition number, and that the number "ten" is different using different number systems. Stay tuned for my next video in which I show how to convert between number systems!
#math #radix #education #numbertheory #arithmetic
Timestamps
- Overview of Base Number Systems – 0:00
- The number 10 (radix (root) or base) in general number systems – 0:11
- Base 10 (Ten): 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The 10 = 9 + 1, and is the transition indicator – 0:50
- Example 1: Base 4 (Four): 0, 1, 2, 3. The 10 = 3 + 1, and is the transition indicator – 3:55
- Example 2: Binary or Base 2 (Two): 0, 1. The 10 = 1 + 1, and is the transition indicator – 6:05
Notes and playlists
- Summary: https://inleo.io/threads/view/mes/re-leothreads-qhw7vbze
- Notes: https://peakd.com/hive-128780/@mes/messcience-2-vortex-math-part-1-number-theory-and-modular-arithmetic
- Vortex Math playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EbRnMsUBx2RxlerL7GQuLX
- MES Science playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GhjCHmTw1XbqMD_EdVKdd9 .
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
Email me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
▶️ 3Speak
Congratulations @mes! You have completed the following achievement on the Hive blockchain And have been rewarded with New badge(s)
Your next target is to reach 81000 replies.
You can view your badges on your board and compare yourself to others in the Ranking
If you no longer want to receive notifications, reply to this comment with the word
STOPCheck out our last posts:
Congratulations!
✅ Good job. Your post has been appreciated and has received support from CHESS BROTHERS ♔ 💪
♟ We invite you to use our hashtag #chessbrothers and learn more about us.
♟♟ You can also reach us on our Discord server and promote your posts there.
♟♟♟ Consider joining our curation trail so we work as a team and you get rewards automatically.
♞♟ Check out our @chessbrotherspro account to learn about the curation process carried out daily by our team.
🏅 If you want to earn profits with your HP delegation and support our project, we invite you to join the Master Investor plan. Here you can learn how to do it.
Kindly
The CHESS BROTHERS team