ECE15A-Homework1-Winter2014 (1)

1 0 1 0 1 0100 0100 cnet ovr 01001129 0101634

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Unformatted text preview: +8 (1) ­8 0001 0100 1110+ 10111 1111 ­8 1010(1) (3p) (a) 18­67 =4 ­9 bro: orw 1011x 1011 (1) +8 0100 0001 ­+7 (6) 1001 0001 = 1 1 0 1 1 ⇒ 1 0 1 1 1011 1011 Cnet ovr: 1011 (0101 (+63)=­9 1011⇒ ­0100)=­11+2 4 Nt:sbrcigi aea digte2scmlmn oe utatn ssm sadn h ’ opeet cry ar: 0100x 0100 (1) +8 0100 0001 +­7 (6) 0111 1110 = 0 1 0 1 1 ⇒ 1 0 1 1 1011 1011 (3p) (b) 67­18 =9 4 bro: orw 0100x 0100 (6) +7 1001 0001 ­+8 (1) 0100 0001 = 0 0 1 0 1 ⇒ 0 1 0 1 0100 0100 Cnet ovr: 0100 11+2 9 0101=(+63)=4 Nt:sbrcigi aea digte2scmlmn oe utatn ssm sadn h ’ opeet cry ar: 1011x 1010 (6) +7 1001 0001 +­8 (1) 1010 1111 = 1 0 1 0 1 ⇒ 0 1 0 1 0100 0100 (3p) (c) (­18)+(­67) =8 ­5 cry ar: 1110x 1110 (1) ­8 1010 1111 +­7 (6) 0111 1110 = 1 0 0 0 1 ⇒ 0 0 0 1 1111 1111 Cnet ovr: 1111 (1111 (++66)=­5 0001⇒ ­0000)=­141+4 8 6. Using Venn diagrams, show that if A and B are sets, then (5p) (A’+B’)’ = AB (5p) X + XY = X (5p) 7. Suppose that a family of logic gates considers the input ranges of [0 ­ 0.2V] as “0” and [3.1V...
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This document was uploaded on 03/17/2014 for the course ECE 15A at UCSB.

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