Notes. The first column is the reference (l), Cols. 2–5 display the corresponding number of GCs (), the maximal number of radial bins (nl_bin(l)), the radial bin, and the binary-fraction type. In Col. 4, R_C, R_HL, R_HM, R_WFC, R_WFV, R₁, R₂, and R₃ mean the core-, half-light (HL), half-mass (HM), HST’s ACS/WFC, J15’s whole field of view (WFV), along with the first, second, and third radii, respectively. Column 5 uses the superscript, indicating the method. f(tot)_min, f(tot)^qf, and f(tot)^qr in the S07 work are the minimum of the total binary-fraction, the total binary fraction obtained by using the mass ratio q distribution from Fisher et al. (2005) and by using the q distribution from random associations; f(q > 0.5), f(q > 0.6) and f(q > 0.7) in the M12 and M16 work are the binary-fraction by using q > 0.5, q > 0.6 and q > 0.7, and f(tot) is the total binary-fraction; f(q > 0.5) in the J15 work has the same meanings as M12/M16, f(tot)^mc, and f(tot)^mf are the total binary-fraction with the methods of counting and fitting, and f(qH) is that of using high q value; f(tot)_min (7 values, of which two GCs have ‘q > 0.5’) and f(tot)_max (4 values) for R12 are the minimum and maximum of total binary-fraction, and f(tot) (21 values) has the same meanings as in M12 and M16.