32=30+2, so half of 32 is (half of 30) plus 1. Half of 30 is even because 0 is an even number.
30=20+10, and half of 20 is 10, so half of 30 is 10 plus half of 10.
Half of 32 is 1 plus 10 plus half of 10. 1 plus 10 is 11. Half of 10 depends on the base of the number system you are using. This base must be greater than 3, because we started with 32. The base must also be even.
If the base is 4, half of 10 is half of 4, which is 2, and the answer is 11+2=134. This is 710 and 324=1410.
If the base is 6, half of 10 is half of 6, which is 3, and the answer is 11+3=146=1010 and 326=2010.
If the base is 8, half of 10 is half of 8, which is 4, and the answer is 11+4=158=1310 and 328=2610.
A decimal base gives us 11+5=16.
In a duodecimal base, 10=1210 and half of 12 is 6, so the answer would be 11+6=1712=1910 and 3212=3810. And so on.