Stereochemistry: R and S notation
The current version of Nomenclature of Organic Chemistry – IUPAC Recommendations and Preferred Names 2013 (Blue Book) reads as follows:


  P-14.4 NUMBERING
  
  When several structural features appear in cyclic and acyclic compounds, low locants
  are assigned to them in the following decreasing order of seniority:
  
  (…)
  
  (j) When there is a choice for lower locants related to the presence of stereogenic centers or stereoisomers, the lower locant is assigned to CIP stereodescriptors Z, R, M, and r (pseudoasymmetry) that are preferred to E, S, P, and s, respectively, which are preferred to the non-CIP stereodescriptors cis, trans, or r (reference), c, and t (…).
  
  (…)


Therefore, the chirality center R receives the lowest locant and thus a systematic name is (2​R,3​S)-2,3-dibromobutane and not (2​​S,3​​R)‑2,3‑dibromobutane.

However, your drawing shows (2​R,3​R)-2,3-dibromobutane.