what is the half of 32

Question

it is even as you can see the last number is 2 that means it is even

Answer 1

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.