AP CSP Unit 8

Number Systems in Computing

• Computers use binary (base 2) to store information.
• Programmers often use hexadecimal (base 16) for more concise representation.
• Hexadecimal uses 16 "digits" (0-9, A-F).
• Decimal 1111 is equivalent to binary 10111100 (decimal 188).
• Binary 10001 represents decimal 17.
• Binary 1110 represents decimal 30.
• Hexadecimal DC represents binary 11011100.
• Hexadecimal 94 represents binary 10010100.

Data Storage and Compression

• A single byte can hold 255 unique values.
• Data compression techniques involve trade-offs.
• Lossy compression can result in noticeable image degradation upon saving and reloading a file.
• Each additional bit in a binary value doubles the possible values.