Study Sheet - Appendix A/B

Disclaimer: This study sheet covers important terms and concepts that I found in the text. The absence of a specific item in the text from this list does not mean that you are not responsible for knowing it. Offer not valid in Tennessee.

Appendix A "Binary Numbers"

Terms:

You should be able to:

• Explain the impact of finite-precision numbers of closure and other numeric issues
• Express numbers in binary, octal, hex, and decimal. This includes converting any number from one base to the other.
  • decimal => binary - find the largest power of 2, subtract and repeat
  • decimal => octal - find the largest power of 8, subtract and repeat... you can also convert to binary and then to octal
  • decimal => hex - find the largest power of 16, subtract and repeat... you can also convert to binary and then to hex
  • binary => decimal - sum the value of each binary position with a value of 1
  • binary => octal - combine groups of 3 bits starting at the point
  • binary => hex - combine groups of 4 bits starting at the point
  • octal => decimal - sum the value of each octal position
  • octal => binary - expand each octal digit into its 3-bit value
  • octal => hex - convert to binary and then convert to hex
  • hex => decimal - sum the value of each hex digit
  • hex => binary - expand each hex digit into its 4-bit value
  • hex => octal - convert to binary and then convert to octal
• Use the "doubling method" to convert from binary to decimal
• Use the "halving method" to convert from decimal to binary
• Represent a positive or negative number in any of the formats: signed magnitude, 1's complement, 2's complement, excess
• Do binary addition and subtraction with any format
• Do binary multiplication

Appendix B "Floating-point Numbers"

Terms:

You should be able to:

• Use scientific notation to represent any number
• Explain and use the IEEE floating-point standard 754: single precision (32 bits) and double precision formats (64 bits)
  • Express any number in FP 754
  • Determine the value of any number encoded in FP 754
  • Determine the range of the single or double precision format