
Showing posts with label Number Systems. Show all posts
Showing posts with label Number Systems. Show all posts
Tuesday, August 6, 2013
Friday, August 2, 2013
Find each sum in the same base as the given numerals. Question: 323four + 212four Question: 5374eight + 615eight
323four + 212four =
3+2 -> 11four (so carry1 keep 1) and leads to
1+2+1 ->10four (so carry 1 keep 0) and leads to
1+3+2 -> 12four
putting them together: 1201four
using same strategy:
5374eight + 615eight = 1354eight
3+2 -> 11four (so carry1 keep 1) and leads to
1+2+1 ->10four (so carry 1 keep 0) and leads to
1+3+2 -> 12four
putting them together: 1201four
using same strategy:
5374eight + 615eight = 1354eight
Thursday, May 9, 2013
how do i solve 374+526 using the 8 base number systems?
adding the first digits we get
1's place: 4+6 which is 12 in base 8 so we carry the 1 and keep the 2
for 8's place: 7+2+1 which again is 12 in base 8
for 64's place: 3+5+1 which is 11 in base 8
so our number is:
1122 in base 8
:)
1's place: 4+6 which is 12 in base 8 so we carry the 1 and keep the 2
for 8's place: 7+2+1 which again is 12 in base 8
for 64's place: 3+5+1 which is 11 in base 8
so our number is:
1122 in base 8
:)
Saturday, April 13, 2013
Arithmetic in different bases
Solution:
Base-6 has 6 digits: 0,1,2,3,4,5. So 4+3 in base 6 is 11. So when we get to the 5+1 in the middle column we note that in bas 6 the sum is 10 which gives another carry.
For the second problem its handy to have a 5's multiplication table - for example in base 5: 3x4=22, 3x2=11, 2x4=13. Then we can add appropriately.
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