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Welcome to CSE 370 Introduction to Digital Design

Welcome to CSE 370 Introduction to Digital Design. Jan 10, 2002. TA information. Email Tian Sang: sang@cs.washington.edu Office hour Monday 4:30-5:30 pm, Sieg 226a Friday, 1:30-2:30 pm, Sieg 226b Right after lectures. Conversions (Appendix A). Binary/octal/hexadecimal to decimal

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Welcome to CSE 370 Introduction to Digital Design

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  1. Welcome to CSE 370 Introduction to Digital Design Jan 10, 2002

  2. TA information • Email • Tian Sang: sang@cs.washington.edu • Office hour • Monday 4:30-5:30 pm, Sieg 226a • Friday, 1:30-2:30 pm, Sieg 226b • Right after lectures

  3. Conversions (Appendix A) • Binary/octal/hexadecimal to decimal • Sum by position weight 12F16= 1*162 + 2*161 + F =256 + 32 + 15 = 30310 10.00112= 21 + 2-3+ 2-4 = 2 + 0.125 + 0.0625 = 2.187510

  4. Conversions (Appendix A) • Decimal to binary/octal/hexadecimal • Successive division for the integer part 20910 = 3218 = D116 = 110100012 • Successive multiplication for the fraction part 0.187510 = 0. 00112 = 0.148 = 0.316

  5. Conversions (Appendix A) • Binary to octal and hexadecimal • Bit grouping 110100012 = (11)(010)(001)2 = 3218 110100012 = (1101)(0001)2 = D116

  6. Conversions (Appendix A) • Octal and hexadecimal to binary • Expand each bit D116 = (11)(010)(001)2 = 110100012 258 = (010)(101)2 = 0101012

  7. Binary arithmetic operations • Almost the same as those for decimal numbers. • Just remember: a carry/borrow worth 2

  8. Data representation (Chapter 5) • Representation of 14: 0000 1110 • Representation of –14: • In signed-magnitude: 1 000 1110 • In signed-1’s complement: 1 111 0001 • In signed-2’s complement: 1 111 0010

  9. Overflow conditions • Read page 246-248 of the textbook for the solution for question 4 of assignment 1.

  10. Reference • More detailed information can be found in Chapter 3, Computer System Architecture 3rd edition, M.Morris Mano, Prentice-Hall.

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