Assignment07Fall2010Assignment

# Assignment07Fall2010Assignment - 02 × 10 23 6.29 Convert...

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525.412 Computer Architecture Assignment 7 6.13 Repeat Exercise 6.8 but perform multiplications a. using Booth recoding. b. using bit-pair encoding. a. 101 101 110 100 b. 011 110 101 011 c. 111 100 011 101 d. 101 010 110 111 e. 011 100 100 010 f. 110 101 110 010 g. 110 001 011 011 h. 101 101 110 111 6.28 Convert the following decimal numbers to IEEE single-precision Foating-point numbers. Re- port the results as hexadecimal values. You need not e4xtend the calculation of the signi±cand value beyond its most signi±cant 8 bits. b. 6.5125 e. 56,000,135 f. - 23 . 23 g. 6
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Unformatted text preview: . 02 × 10 23 6.29 Convert the following IEEE single-precision Foating-point numbers to their decimal values. Report the answers to three signi±cant ±gures. Use scienti±c notation if needed to maintain precision: a. 0x21E0 0000 b. 0x8906 0000 c. 0x4B90 0000 d. 0xf1A6 0000 6.31 In Foating-point addition, can you give an example where a + b = a for some nonzero value of b ? 6.32 Show that for Foating-point addition, the associative law, ( a + b ) + c = a + ( b + c ), does not hold. 1...
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