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27%O 7:54 pm Homework2.p Homework 2: Arithmetic for Computers Due: Thurday February 224, 2018 retruary , 2018 1. Calkulate the 's complemont repsentation cf the
27%O 7:54 pm Homework2.p Homework 2: Arithmetic for Computers Due: Thurday February 224, 2018 retruary , 2018 1. Calkulate the 's complemont repsentation cf the rumbors below.Ansumc we have 10 bits to reprc ) 60 12 (0-30 2, Inegur Arithmel hae 10 itsloregre l""arv ropnen.ntatio".* 2, the s lior adding Fowing t mumberi n12, Asume we "" "'l:erHint: firxh1"!' 'H lo regan, emt het h "umten, i " 2'* 130mplem ont D00CO1000n, and thc sceond stcp is to add them) eserv 2.Show the stepa for multiplying folowing two numbes: G7 and 18 Assume we have 10 bits to represcnt ovey number. (Ilint: first stop is to presen beth numbcrs in s complement binary ofour toxtbcol 1l. Show your steps simal steps, tollow the algorithm presented in Figure .4 pae 1 to Fgurc 36 page 17 ofyor texthook [13 8. Flotig Poin: Arithmetie 3.) Show the stepa for adding following two real numbers: 28125 and 0.4150390625 Assume we havo bits to repreuntrato and 5 bit to rresent esponent, Hint: Firt steg is to repreeent both resl mambera in nomalied aientie binary notation, 175001.1100000000For ketim point addstion stepa, fellow the algorithm presented in Figune 3.14 on page 203 od your texrbook 3.b Show the stepa for multiplying folowing two real numbers: 9.004685 and 0.179931640625. Asaume w have 10 bits to represent fraction and 3 bits to rcpresent exponent. n first step is to rupresent boh real nambers in nermaliaed wientifk binary notation For oating point multiplication steps, tollow the algorithm presented in Figure a.16 on page 209 of your textook.) [1) Computer Organiztion and Design: The HardwareScttware Intertace Pdth Edition), DavidA Pattemon and ohn L Honncasy, Morgn Koumann, 2014
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