Data Representation Flashcards
7 cards from real APCSP practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Data Representation flashcards as text
Which of the following best describes why computers use binary (base-2) rather than decimal (base-10) to store data?
Answer: Electronic circuits naturally represent two states (on/off), making binary practical
Electronic components like transistors naturally exist in two stable states (on/off or high/low voltage), making binary the most practical number system for hardware.
How many unique values can be represented using 4 bits?
Answer: 16
With n bits you can represent 2^n unique values; 2^4 = 16.
The hexadecimal value 0xFF is equivalent to which decimal value?
Answer: 255
F in hex equals 15, so 0xFF = 15×16 + 15 = 240 + 15 = 255.
A color image is stored using 24-bit color (8 bits per channel for red, green, blue). How many distinct colors can it represent?
Answer: 16,777,216
24 bits total gives 2^24 = 16,777,216 distinct color combinations.
Which encoding standard assigns a unique number to every character and supports over 140,000 characters from multiple languages and symbol sets?
Answer: UTF-8 / Unicode
Unicode (with UTF-8 as a common encoding) assigns code points to over 140,000 characters covering most of the world's writing systems.
What is the decimal equivalent of the binary number 1010?
Answer: 10
1×8 + 0×4 + 1×2 + 0×1 = 8 + 0 + 2 + 0 = 10.
Lossless data compression differs from lossy compression in that lossless compression:
Answer: allows the original data to be perfectly reconstructed
Lossless compression encodes data so the original can be reconstructed exactly, while lossy compression permanently discards some information.