tutorial 1-numbersys 2016
TRANSCRIPT
-
7/25/2019 Tutorial 1-NumberSys 2016
1/2
UNIVERSITI TUNKU ABDUL RAHMAN
Faculty : Lee Kong Chian Faculty of
Engineering and Science
Unit Code : UEEA1323/UEEP1323
Course : 3E EC !" P" #$ E% Unit %itle : &igital Electronics
'ear/ Se(ester : )*arious+/%ri(ester Lecturer :
Session : 2,1-,1
Tutorial 1: Number Systems an !oes
1. Conert the follo0ing nu(ers to the ase secified:
)a+ 3,1.121,to ase 2)+ 1,,11,1,2to ase 1,
2. Conert the follo0ing inary nu(ers to their octal and headeci(al e4uialents.
%hen conert oth of your ans0ers to deci(al and erify that they are the sa(e.)a+ 111,1,,11
)+ 1111111,.,,,1
3. Conert the follo0ing headeci(al nu(ers to their inary e4uialents:
)a+ AC
)+ 1#.5F
6. Conert 376.561, to headeci(al nu(ers )8ound to t0o digits ast the
headeci(al oint+. &eise a sche(e to conert headeci(al directly to ase 6and use the sche(e to conert your ans0er to ase 6. *erify your sche(e y
conerting your ase96 ans0er ac to deci(al.
;. Add the inary nu(ers.)+a 111.111 and 111
)+ 111,,1,111 and 11,,11,,11
-. Sutract in inary.
)a+ 11,1, 9 1,111
)+ 1,11,,1, 9 1111,1
5. Use inary (ultilication adding artial roducts as they are for(ed to find:
)a+ 1,111 11,,1,
)+ 11,,1 1,11,11
Change to deci(al and confir( the ans0ers.
1
-
7/25/2019 Tutorial 1-NumberSys 2016
2/2
7. Use inary long diision to calculate:
)a+ 1,,111,1, 11,1
)+ 111,1,,11 11,11
Change to deci(al and confir( the ans0ers.
hat is the largest
ositie nu(er? >hat is the negatie nu(er 0ith the largest (agnitude?
11. Use 2=s co(le(ent notation to erfor( the follo0ing. Assu(e that the nu(ers
are already in 2=s co(le(ent for(.
)a+ ,,1111 @ ,,1,11)+ ,,11,,11 @ 111,,1,1
)c+ 111,,,11 11111,1,
12. Add the follo0ing nu(ers 0ith those negatie reresented in -9it 2=s
co(le(ent. $ndicate if an oerflo0 occurs.
)a+ 21 11 )+ )916+ )932+ )c+ )912+ 13)d+ )911+ )921+ )e+ )92;+ 17
8eeat using 1=s co(le(ent to reresent negatie nu(ers.
13. Conert the follo0ing nu(ers to their #C& e4uialent.
)a+ 1,1,11,2)+ 11,,1,,.112
16. Add the follo0ing #C& nu(ers
)a+ ,11,,1,, ,,11,,11
)+c 1,,1,1111,,, 1,,1,1,1,,,1
1;. )a+ Conert 361,to its Bray code e4uialent.
)c+ Conert the Bray code 11,,,,1,,,1 to inary.
1-. &eter(ine 0hether the follo0ing odd arity codes are in error.
)a+ 1111,11, )+ ,,11,,,1
2