“exp(α+βx)” is the odds of category 1 of the dependent variable (relative to the base category, i.e. the category 0.)
“exp(β)” is an odds ratio. It indicates that, for a unit change on x, the odds of category 1 (relative to the base category) changes by the factor exp(β).
Note:
The odds of category 1 means [P(category 1)/P(category 0)]
Exp(B) - This is the exponentiation of the B coefficient, which is an odds ratio. This value is given by default because odds ratios can be easier to interpret than the coefficient, which is in log-odds units