Scene 1 (0s)
Flutterians Hub 019 Introduction to Number Systems Understanding various number system and why its important in mathematics and computing.
Scene 2 (8s)
4 Definition of Number Systems A number system is essential for representing numbers using unique digits and a specific base, determining their usage in various fields. 01 Number systems facilitate effective communication of numerical values. 02 Each system uses a unique base to represent quantities. 03 understanding number systems is crucial for mathematics and computing..
Scene 3 (22s)
Why Different Number Systems? It tells us how many unique digits we can use in a system. • Humans use Decimal (Base 10). • Computers use Binary (Base 2). • Octal and Hexadecimal are used -Alli simplify binary data to representation..
Scene 4 (34s)
Types of Number Systems Number System Decimal Binary Octal Hexadecimal Base 10 2 8 16 Digits Used Ot09 Ot07 Common Use Used by humans Used in digital computers Short form Of binary (3 bits) Used in memory, colors, etc. Base / Radix Concept: The base is the number of unique digits used in a system. Example: Base 10-9 digits 0-9 Base 2-3 digits O, 1 General form (Base b): N = dn x + dn_l x bn-l + ...+doxb0.
Scene 5 (53s)
4 Conversion Methods Overview Decimal to Binary •-R•peated help s corwert decimol numbers into binary effectively. Decimal to Octal eThe some division rnethOd is used tor converting to octal nurnbers Decimal to Hexadecimal method also applies simplifying decimal numbers into hexadecimal representation Binary to Decimal Positional value method helps convert binary numbers into format accurately by summing powers ot 2. Octal to Decimal value using powers ot 8 "Aps convert nunbers into decimal format Hexadecirnal to Decimal using of 16 for each digit's VOSition enables accurate conversion trom hexadecimal to decimal tormct Binary to Octal Grouping binuy digits in sets Ot three Irorn right to belt allovss easy and accurate cm•.tersion to octol Binary to Hexadecimal Orouping binary digits in sets of fcur right to left enables quick and OCCurate conve'sion to hexadecirrwl rot mat..
Scene 6 (1m 19s)
Conversion Between Number Systems •Decimal to Binary 21100 2150 212S 2112 216 213 211 0 t . Read from bottom to top: ••nooloo•• Result: (100),. (1100100)2 •Decimal to Octal 8 | 100 8112 811 o t. Read from bottom to top: Result: (100)10 = (144)8 u •Decimal to Hexadecimal 16 | 100 1616 o t . Read from bottom to top: U Result: (64)16.
Scene 7 (1m 34s)
Conversion Between Number Systems Binary (Base 2): • Digits: O, 1 ¯ x 23 -+- x 22 x 21 x 20 = • Example: Iølø — Binary —Y Decimal: Octal Decimal: Octal (Base 8): Hex -+ Decimal: • Digits: 0-7 • Example: 145 (octal) = I x 82 +4 x 81 + 5 x 80 = 85 Hexadecimal (Base 16): • Digits: 0-9, A(IO) to F(15) • Example: 2F = 2 X 161 + 15 x 160 = 47.
Scene 8 (1m 53s)
Binary —Y Decimal: Octal Decimal: Hex -+ Decimal: Conversion Between Number Systems C. Binary Octal & Hexadecimal (Group Method) u Binary to Octal • Group bits in 3s from the right • convert each group to an octal digit • Example: 101110 -+ OOO 101110 •276 Binary to Hexadecimal • Group bits in 4s from the right • Convert each group to a hex digit • Example: 11101100* 1110 1100 -+EC.
Scene 9 (2m 11s)
Quick Tips Conversion Table Decimal 10 15 8 255 Binary 1010 1000 Octal 12 17 10 377 Hex 8.
Scene 10 (2m 18s)
Feel free to connect Email [email protected] Social Media www.instagram.com/flutterians_hub youtube.com Flutt•rians Hub — it's in ogo PRESENTED to @iiutterians PRESENTED by Flutterians Hub.