Number system || Conversion of Number System || Binary, Decimal, Octal, Hexadecimal

Описание: This video from Physics Practical provides a comprehensive guide to number systems, focusing specifically on conversions between Binary, Decimal, Octal, and Hexadecimal (0:40). The instructor outlines 12 specific conversion paths, emphasizing that understanding the basic processes is more important than memorizing all paths individually (2:38).

Key Conversion Processes:

Decimal to Other Bases: To convert from Decimal to Binary, Octal, or Hexadecimal, divide the integer part by the target base and use the remainders in reverse order (down to up) (4:27, 21:07, 26:18). For the fractional part, multiply by the target base and take the integer carry from top to bottom (7:33, 22:00).
Other Bases to Decimal: To convert from Binary, Octal, or Hexadecimal to Decimal, expand the number using powers of the source base (10:52, 12:11, 13:00).
Shortcut Methods:
Octal/Hex to Binary: Convert each digit individually to its binary equivalent (3 bits for Octal, 4 bits for Hex) (39:16, 51:02).
Binary to Octal/Hex: Group binary digits into sets of 3 (for Octal) or 4 (for Hex), starting from the decimal point, and convert each group to its decimal equivalent (46:12, 54:30).

Practical Examples:
Conversion of 29.625 to Binary (3:46).
Hexadecimal 2C8 to Binary (16:49).
Octal 12 to Binary (38:08).
Binary 111011 to Octal (45:29).
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