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NUMERICAL METHODS M. Antczak , S. Wąsik

NUMERICAL METHODS M. Antczak , S. Wąsik. Floating point numbers are coded with using equation x = s * 2 c * m , where s – sign (+1,-1) c – attribute (integer value) m – floating point <1/2; 1). Example :. / 2. -2 =. -1 * 2 0 * 2. -1 * 2 1 * 1. / 2. -1 * 2 2 * 1/2.

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NUMERICAL METHODS M. Antczak , S. Wąsik

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  1. NUMERICAL METHODS M. Antczak, S. Wąsik

  2. Floating point numbers are coded with using equation • x = s * 2c * m, • where • s – sign (+1,-1) • c – attribute (integer value) • m – floating point <1/2; 1) Example: / 2 -2 = -1 * 20 * 2 -1 * 21 * 1 / 2 -1 * 22 * 1/2 s = -1 c = 2 m=1/2

  3. Binaryrepresentation of floating point b1b2b3b4… • m = b1/2 + b2/4 + b3/8 + .. + bt/2t • where • t – number of bits Example (t = 5 bits): ≥ Yes 1 0 ≥ No ≥ Yes 1 0 0 ≥ No Finally: 10100 0 0 ≥ No

  4. Recurrence function example: recurrencestoppingcondition recurrencerule Example: n = 5 => silnia(5)  5 * silnia(4)  120  24  4 * silnia(3)  6  3 * silnia(2)  2 * silnia(1)  2  1

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