numbers

• What topic is discussed in this episode of Crash Course Computer Science?

  How computers store and represent numerical data
• What are the two binary values in boolean algebra?

  True and false
• How can a single binary value represent information?

  By using 1 and 0 instead of true and false
• How do we represent larger numbers in binary?

  By adding more binary digits
• What is the range of possible values for a single decimal digit?

  0 through 9
• How does base-ten notation differ from binary notation?

  Base-ten has 10 digits, binary has 2
• What does the number 263 represent in decimal?

  2 one-hundreds, 6 tens, and 3 ones
• What is base-ten notation also called?

  Decimal notation
• What is the multiplier for each column in decimal notation?

  Each column is ten times larger than the right
• What is the binary equivalent of the decimal number 5?

  101
• How do you convert the binary number 10110111 to decimal?

  1 x 128 + 0 x 64 + 1 x 32 + 1 x 16 + 0 x 8 + 1 x 4 + 1 x 2 + 1 x 1
• What is the result of adding 183 and 19 in decimal?

  202
• How do you add binary numbers like 1 + 1?

  Result is 10, carry 1
• What is a bit?

  A binary digit, either 1 or 0
• What is a byte?

  8 bits
• How many values can 8 bits represent?

  256 different values
• What is the highest value represented by 8 bits?

  255
• What is the relationship between kilobytes and bytes?

  1 kilobyte is 1000 bytes
• What is the difference between kilobytes and binary kilobytes?

  Binary kilobyte is 1024 bytes
• What does a 32-bit computer operate with?

  Chunks of 32 bits
• What is the largest number a 32-bit number can represent?

  Just under 4.3 billion
• How do computers represent negative numbers?

  Using the first bit for the sign
• What is the largest value a 64-bit number can represent?

  Around 9.2 quintillion
• What are floating point numbers?

  Numbers that can have decimal points
• What standard is commonly used to represent floating point numbers?

  IEEE 754 standard
• How does the IEEE 754 standard store decimal values?

  Like scientific notation
• What is the significand in scientific notation?

  The decimal part of the number
• How many bits are used for the exponent in a 32-bit floating point number?

  8 bits
• What does ASCII stand for?

  American Standard Code for Information Interchange
• How many values can a 7-bit ASCII code represent?

  128 different values
• What is the purpose of ASCII?

  To encode letters, digits, and symbols
• What is the range of characters that ASCII can encode?

  Capital letters, lowercase letters, digits, symbols
• What is interoperability in computing?

  The ability to exchange data between systems
• What problem did ASCII face with international languages?

  It was designed mainly for English
• What is Unicode?

  A universal encoding scheme for characters
• How many bits does the most common version of Unicode use?

  16 bits
• What is the capacity of Unicode in terms of characters?

  Over a million codes
• How do file formats like MP3s use binary numbers?

  To encode sounds and colors
• What are all digital messages ultimately composed of?

  Long sequences of 1s and 0s
• What are the key concepts of how computers represent numerical data?

  • Binary values: 1 and 0
  • Base-two notation for binary
  • Base-ten notation for decimal
  • Bits and bytes
  • Floating point representation
  • ASCII and Unicode for text