Bool

[muffins123]

Hi guys some questions to bool:

  Z = !((10 < 20) ^ (5 % 3)) 
  Z = ((5 < 10) - (3 & 1)) == 0;

so the first one: I understand that the result will be a NOR Statement? So 10<20 would give a true and what does 5%3 give?

2nd line : 5<10 would give true but what does 3&1 give or even mean?

Thanks again

[AbstractionAnon]

What type is Z? You haven't shown it's declaration.

The first one is NOT XOR, which is not the same as NOR.
5 % 3 is a modulo (remainder) operation. The remainder of 5 / 3 is 2. So (5 % 3) is also true.
^ is an XOR operation. true XOR true is false. ! (false) is of course true.

& is a bitwise AND operation 3 & 1 is 1. That leaves us with true - 1 which is a mix of types. Since true can be promoted to an int we have 1 - 1, which is 0. 0 == 0 is true, so Z is true.

[muffins123]

operation 3 & 1 is 1

thanks for the reply. But I dont understand why 3&1 is 1?

[AbstractionAnon]

This is a bitwise AND operation. The bits of the two numbers are ANDed.

3 = 0011
1 = 0001
------------
R = 0001

The least significant bit is the only bit set in both operands and therefore the only bit set in the result.