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Sample_Final4_Ans

# Sample_Final4_Ans - 1 Perform the following calculation...

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1. Perform the following calculation using 2's complement and indicate if ar occurs. First convert the decimal number to 6-bit long 2's complement nliI then do the addition. Show the result of the conversion and addition: z = (-13) [10 pts] --20 ::: -/3 ::: J() /10 0, } /0011 2 fa 1100 -t I ( 00 ) I -0 I J I I , OVQ.yf~W o~~VtY ~ ...

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2. Consider the function F = LA,B,C,D(2, 8, 9,10,12,13,14) + d(l, 3, 4,5,6,7) [10 points]. . Give the minimized SOP expression of Fusing K-map [5 pts]. F ~ ,A "6 CD I Ac-'~ C]) 'X Y- "i -X . Implement the function F using a 8:1 MUX and label the MUX pins appropriately [5 pts] 8: 1 MUX r- En 0 10 ~ II I 12 0 13 1-14 1-15 1- 16 0-17 y rE tkie ~ h-e. s2 sl sO n A G D ~ w(tS. ')
Consider the Boolean function F = LA,B,G,D(O, 7, 8, 9, 10, 11, 12, 14, 15). The function is to be implemented with a 4-to-1 multiplexer and external gates in the black box, as shown in the figure below. A and B are the selection inputs of the multiplexer, C and D are the inputs to the black box. Complete the design of the black box [10 points]. , ; , , c~ j [ " , L ='- ~ 4-to-1 ~ MUX i 10 F D~ j SI so external gates A B ~:: ~~ c.tr.> (() " 7 , f? / AB cD 1 ) fo I " } ( 2" I <:f, (1-) -0 ~:: , , A g - ]:0 + A' ~ -Ii + A-B~ 12. -t A-g-13 ~.~ ~, , f 10 =: C D r~ C. D

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Sample_Final4_Ans - 1 Perform the following calculation...

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