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midterm0001 - Name:J vclCj V DEPARTMENT OF ELECTRICAL AND...

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Name:J} vclCj V) DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING UNIVERSITY OF COLORADO Midterm Examination Closed book, closed notes. No calculators are allowed. Answer all questions and show all work in the space provided on the test sheet. If necessary, you may use the back of the test sheet. Sign and hand in any additional sheets you need to use for your answers. This examination has 8 pages of questions. If needed, state any assumptions you make when solving a problem. 1. (3 Points each) The following 8-bit additions are missing an addend. Given the defined format of the numbers, find the addend (an 8-bit number) that computes the sum and is arithmetically correct. If an 8-bit addend cannot be found, state why. ~ "7 9 Sign-Magnitude I 1 0 1 0 0 1 1 0 CJ 0 () \ 0 -r ,,~ 0 0 \ 0 0 u 0 \ 0 Q \ \ I / ... - .. " .... -- .~, .. ~.~-.- 0 1 0 0 1 1 0 1 \ \) 0 r , \ t"· '\ ( \y!' l+-l-- I~ .--G 1's Complement \ 1 0 1 0 0 1 0 I 0 0 G t \ 0 I CJ 0 \ 0 t \J \ 0 () .\ () ~ C) 0 1 1 1 1 0 011 1 0 o () 0 I CJ (] 0 \ () \ 0 0 0 \ 0 t, \ 0 0 ·1 I 0 () 0 T J r\ \0 o
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