TAOCP 4.2.3: Double-Precision Calculations

Section 4.2.3 exercises: 5/6 solved.

5 items

Section 4.2.3. Double-Precision Calculations

Exercises from TAOCP Volume 2 Section 4.2.3: 5/6 solved.

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Practice › Mathematics › TAOCP › TAOCP Vol 2: Seminumerical Algorithms › TAOCP 4.2.3: Double-Precision Calculations ›

TAOCP 4.2.3 Exercise 2

Inserting the instruction `ENTX 0` between lines 30 and 31 of Program **B** would not improve the accuracy of the computation.

Practice › Mathematics › TAOCP › TAOCP Vol 2: Seminumerical Algorithms › TAOCP 4.2.3: Double-Precision Calculations ›

TAOCP 4.2.3 Exercise 3

Let u=(u_m+eu_l)b^{e_u}, \qquad v=(v_m+ev_l)b^{e_v}, where $u_m$ and $v_m$ are the most-significant halves of the fractions, $u_l$ and $v_l$ are the least-significant halves, and

Practice › Mathematics › TAOCP › TAOCP Vol 2: Seminumerical Algorithms › TAOCP 4.2.3: Double-Precision Calculations ›

TAOCP 4.2.3 Exercise 4

**Exercise 4.

Practice › Mathematics › TAOCP › TAOCP Vol 2: Seminumerical Algorithms › TAOCP 4.2.3: Double-Precision Calculations ›

TAOCP 4.2.3 Exercise 5

Program **A** implements a floating-point accumulator in MIX, with **8 bytes to the right of the radix point**.

Practice › Mathematics › TAOCP › TAOCP Vol 2: Seminumerical Algorithms › TAOCP 4.2.3: Double-Precision Calculations ›

TAOCP 4.2.3 Exercise 6

Let the single-precision format of Section 4.