Write an equation to find biggest of two numbers using Arithmatic and Logical Operators?

Question

Please do not use any conditional statements.(if,conditional operators)

Answer 1

x > y ? x : y

equivalent to

if(x > y) { return x; } else { return y; }

Answer 2

if ((a-b) & 0x80) bigger = b;

if b>a then (a-b) will be negative, meaning the MSB of a-b will be 1. When you AND it with 0x80, the result it only MSB bit. Now if the result is zero you know that first bit is zero, implies (a-b) >0, implies a>b. In other case, when the result is non-zero, (a-b)<0, implies (a