ECE15A-Homework1-Winter2014 (1)

# 965erro02974bouedfeec

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Unformatted text preview: 59174| ⇒ p r x 0 3 0 2 r o r 0 0 0 2 7 9 1 a s l t i f r n e apo .965%erro .02974 bouedfeec 2. A computer has a word length of 8 bits, including sign. Obtain 1’s and 2’s complement of the following binary numbers: (2p) (a) 10101010 1scmlmn ’ opeet 0000 fi) 1111(lp =141+4 ++66 =­5 8 2scmlmn ’ opeet 0000 fi+) 1111+1(lp1 =0001 1110 =241+4 ++66 =­6 8 (2p) (b) 01010011 1scmlmn ’ opeet 0001 1101 =121+4 ++66 =8 3 2scmlmn ’ opeet 0001 1101 =121+4 ++66 =8 3 (2p) (c) 00000001 1scmlmn ’ opeet 0000 0001 =1 2scmlmn ’ opeet 0000 0001 =1 (2p) (d) 10000000 1scmlmn ’ opeet 0111 fi) 1111(lp =12481+26 ++++63+4 =­2 17 2scmlmn ’ opeet 0111 fi 1 1111+1(lp+) =1000 0000 =­2 18 (2p) (e) 00000000 1scmlmn ’ opeet =0 2scmlmn ’ opeet =0 3. A computer has the word length of 16 bits, including sign. (5p) If 2’s complement is used to represent negative numbers, what range of integers can be stored in the computer? 1­ [ 26 1 ­ 1­, 26 1 1 ­] 1 5 1 5 [2 , ­ 2 ­] 1 [378,377 ­26 26] (5p) If 1’s complement is used to r...
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