Showing posts with label Number Systems. Show all posts
Showing posts with label Number Systems. Show all posts

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

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

:)

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.