Number Systems Introduction - Decimal, Binary, Octal & Hexadecimal
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AI Summary of "Number Systems Introduction - Decimal, Binary, Octal & Hexadecimal"
Get instant insights and key takeaways from this YouTube video by The Organic Chemistry Tutor.
Number Systems Overview
📌 The Decimal System is a base 10 system using digits 0 through 9, commonly used for everyday counting.
💻 The Binary System is a base 2 system using only 0 (off) and 1 (on), essential for computers and digital circuits.
🔢 The Octal System is a base 8 system using digits 0 through 7, derived from the prefix 'octa' meaning eight.
🔠 The Hexadecimal System is a base 16 system using digits 0-9 and letters A-F, where A=10, B=11, C=12, D=13, E=14, and F=15.
Decimal to Other Bases Conversion (Successive Division)
➡️ To convert a decimal number (e.g., ) to Binary (Base 2), repeatedly divide by 2 and record the remainders, reading the result from the bottom (Most Significant Bit) up.
➡️ To convert to Octal (Base 8), use the same successive division technique but divide by 8 each time, reading the remainders bottom-up (e.g., ).
➡️ To convert to Hexadecimal (Base 16), repeatedly divide by 16, converting any remainder greater than 9 to its corresponding letter (e.g., , where 12 is C).
Key Points & Insights
➡️ Understanding number system bases (10, 2, 8, 16) is foundational for working with digital systems and computation.
➡️ The successive division method is the standard technique for converting from decimal to lower bases by tracking the remainders.
➡️ Remember that in base conversion, the remainders must be read in reverse order (bottom to top) to obtain the correct representation in the new base.
➡️ Hexadecimal representation requires mapping decimal values 10 through 15 to the letters A through F.
📸 Video summarized with SummaryTube.com on Oct 09, 2025, 01:03 UTC
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📜Transcript
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📄Video Description
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This video provides a basic introduction into number systems such decimal, binary, octal and hexadecimal numbers.
Binary - Free Reference Sheet: https://bit.ly/3CkOHhB
Full 30 Minute Video:
https://www.youtube.com/watch?v=PlbH_t0akAA
Algebra Review:
https://www.youtube.com/watch?v=i6sbjtJjJ-A
_________________________________
Binary to Decimal:
https://www.youtube.com/watch?v=VLflTjd3lWA
Binary to Decimal with Excel:
https://www.youtube.com/watch?v=EJX6Ub_USWw
Decimal to Binary:
https://www.youtube.com/watch?v=rsxT4FfRBaM
Decimal to Hexadecimal:
https://www.youtube.com/watch?v=QJW6qnfhC70
Binary to Hexadecimal:
https://www.youtube.com/watch?v=tSLKOKGQq0Y
_________________________________
Decimal to Octal:
https://www.youtube.com/watch?v=ayul1fmZd0Y
Octal to Binary:
https://www.youtube.com/watch?v=WkScocdUtbE
Octal to Hexadecimal:
https://www.youtube.com/watch?v=KXRyIH90shg
Decimal to BCD:
https://www.youtube.com/watch?v=AM0tr8Kyvzg
ASCII Code to Binary:
https://www.youtube.com/watch?v=H4l42nbYmrU
____________________________________
Binary to Gray Code:
https://www.youtube.com/watch?v=cbmh1DPPQyI
How To Add and Subtract Binary Numbers:
https://www.youtube.com/watch?v=C5EkxfNEMjE
Binary Addition - Negative Numbers:
https://www.youtube.com/watch?v=sJXTo3EZoxM
Intro to Number Systems:
https://www.youtube.com/watch?v=FFDMzbrEXaE
Number System Conversions with Excel:
https://www.youtube.com/watch?v=IqfN8F3IQh0
_________________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
Full video URL: youtube.com/watch?v=FFDMzbrEXaE
Duration: 21:09
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💎Related Tags
number systemsdecimalbinaryoctalhexadecimalcomputer science
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AI Summary of "Number Systems Introduction - Decimal, Binary, Octal & Hexadecimal"
Get instant insights and key takeaways from this YouTube video by The Organic Chemistry Tutor.
Number Systems Overview
📌 The Decimal System is a base 10 system using digits 0 through 9, commonly used for everyday counting.
💻 The Binary System is a base 2 system using only 0 (off) and 1 (on), essential for computers and digital circuits.
🔢 The Octal System is a base 8 system using digits 0 through 7, derived from the prefix 'octa' meaning eight.
🔠 The Hexadecimal System is a base 16 system using digits 0-9 and letters A-F, where A=10, B=11, C=12, D=13, E=14, and F=15.
Decimal to Other Bases Conversion (Successive Division)
➡️ To convert a decimal number (e.g., ) to Binary (Base 2), repeatedly divide by 2 and record the remainders, reading the result from the bottom (Most Significant Bit) up.
➡️ To convert to Octal (Base 8), use the same successive division technique but divide by 8 each time, reading the remainders bottom-up (e.g., ).
➡️ To convert to Hexadecimal (Base 16), repeatedly divide by 16, converting any remainder greater than 9 to its corresponding letter (e.g., , where 12 is C).
Key Points & Insights
➡️ Understanding number system bases (10, 2, 8, 16) is foundational for working with digital systems and computation.
➡️ The successive division method is the standard technique for converting from decimal to lower bases by tracking the remainders.
➡️ Remember that in base conversion, the remainders must be read in reverse order (bottom to top) to obtain the correct representation in the new base.
➡️ Hexadecimal representation requires mapping decimal values 10 through 15 to the letters A through F.
📸 Video summarized with SummaryTube.com on Oct 09, 2025, 01:03 UTC
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As an Amazon Associate, we earn from qualifying purchases
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