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A 8 points) For each part. do or answer tac following: Show how you would add th

ID: 3857767 • Letter: A

Question

A 8 points) For each part. do or answer tac following: Show how you would add the two 8-bit binary nombers by filling in each of te blank boxes with or 1. NOTEI: Addition of 2's compleme umbers is done just like tbe addition of uisigned whole nuumbers, so you only need to show each aldition once. NOTE2: There are 9 blank boxes for the carry hits and 8 hlank hoxes for the bits CAUTION:Every blank box should be fillod with a oor1: if you leave any boxes blank, your answer will be taken as incomplee Circle one observation from the list below that is applicable and useful to help deternine whether overflow has occurred, if the numbers are wmsigned whs and only 8 bits are available for holding the resut. CAUTION:Terewl be pealy for additional observations cireled that are not applicablehelpfl. Circle Y or N nclica e cur inler nce on whether over low has occurred arr at if he numbers are unsrg urw ale Mwn, ary and only bls are available lor xlding ibe result, based on lhe circlad observations Circle two observatis from the list below eilthe of whieh is applicable and useful lo belp determie wbetber overflow has occucred, if the narakers ae'sesmbe ad aly 8 bits are available for holding the result CAUTION: There will be penalty for ohservations circled that are not applicable helpful. Cirele Y or N to indicane your inference onwhether overow has occurred orot (if the nuobers are 2's compiement amers and only 8 bits are avnilnble for holding the result) based on the circled observations) or 2 pasitissomelhing that nn be easily made in hardware) List of ohservalicns inote thal each is in terms of the slates) of certain hil si (Aj Carry-out is 0 when bits at most-significant-bit position are addad. (B Carry-out isI when bits at mist-sigaificant-bit pusition are added. (Addends have opposile signs Addends are both positive, sum is positive. (E) Addends are bodh positive, sum is negative. (F) Addends ae bod negaive, sum is postive. (G) Addends are both negative, sum is nepative. (H) Carry-in and carry-out at most-significant-bit position are the same. CAUTION You will eam NO CREDITS it you simale give ansers for the overllow part without dking the binary addition part Observations if 2's compiemeti:(A , a f / D E /G , H , I ) Observation if nasigo Overflow if a Observations if 2's compiemeu:( A ,/c f D f E , , G , H , 1 ) Overflow if Mitegne#1 y / Observations if 2's compiemeu:( A ,/c / 0/ E f 7/ G , H , 1 ) overflow if 2's complemen? I" ! Observation if wrasagnedlaCIDEEGrar:) Overflow if Mittgnedr y /] Observations if 2's compemewt RCIDESTGAHIT B 6 points) Represent the decunal value-314.05 in IEEE54-1985 aouble precsien. Show your final answer in her. CAUTION You will eam NO CREDITS if you surnolv show the nal result and not clearly show war 2'(Le intermediate steps, C 6 points) Determine the de umal value lhat gives 428E5800 in hex when represented in IEEE ?54-1985 single precision. You will eam NO CREDITS if you simply show the final resnlt and not ciearty sow workie i ineediate steps).

Explanation / Answer

    11111100
    10011100
-----------------
SUM     10011000
CARRY 111111000
2's Complemt Overflow: NO
Unsigned Overflow: YES

   00010010
   11110001
-----------------
SUM     00000011
CARRY 111100000
2's Complemt Overflow: NO
Unsigned Overflow: YES


   00101000
   01111010
-----------------
SUM     10100010
CARRY 011110000
2's Complemt Overflow: YES
Unsigned Overflow: YES


   10011011
   10011111
-----------------
SUM     00111010
CARRY 100111110
2's Complemt Overflow: YES
Unsigned Overflow: YES

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