The distribution of the sum of a uniform random variable and a binomial random variable

Question

I'm asked to find the distribution of $U=X+Z$, where

$X\widetilde~R(0,1)$ - That is, $X$ has a uniform distribution for $x\in]0;1[$

$Z\widetilde~bin(1,1/2)$ - That is, $Z$ has a binomial distribution and $P(Z=0)=P(Z=1)=1/2$

How do I find the distribution of $U=X+Z?$

Thanks in advance