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Recitation 5: Exam 1 Review

Join Andrew Faulring's Exam 1 Review session covering Floating Point and Unions. Learn about s.exp.frac, normalized vs. denormalized numbers, and practice problems on two’s-complement, array index, and struct layout with unions.

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Recitation 5: Exam 1 Review

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  1. Recitation 5:Exam 1 Review Andrew Faulring 15213 Section A 7 October 2002

  2. Andrew Faulring • faulring@cs.cmu.edu • Office hours: • NSH 2504 (lab) / 2507 (conference room) • Tuesday 4–5 • Lab 3: due Monday (7 Oct), 11:59pm • Lab 4: later this week (probably by Thursday) • Exam 1: Tuesday (8 Oct), 6:00–7:30pm Doherty Hall 2315

  3. Today’s Plan • Exam 1 review • Problems from last fall’s exam 1 • Floating Point • Unions

  4. Floating Point s exp frac • s: sign bit • exp: encodes E (m bits) • value unbiased • bias = 2m−1 − 1 • frac: fractional number (n bits) • Normalized: [1.0, 2.0) • exp ≠ 0…0 & exp ≠ 1…1 • Denormalized: [0.0, 1.0) • exp = 0…0

  5. Example: exp with 3 bits exp exp E 2E 0 000 −2 ¼ (denorms) 1 001 −2 ¼ 2 010 −1 ½ 3 011 0 1 4 100 1 2 5 101 2 4 6 110 3 8 7 111 n/a (inf, n/a)

  6. Practice Problems • #2 floating point • #1 two’s-complement • #5 array index • #7 struct layout (with unions)

  7. #7 changes typedef union { OldSensorData oldData; NewSensorData newData; } SensorDataUnion;

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