Result: standard mapping
How many DS0s are in a STM-16?
A STM-16 carries 32,256 DS0s, per ITU-T G.707 and ANSI T1.107.
32,256
DS0s in a STM-16
Working
STM-16 → 16 × STM-1 → 84 × DS1 → 24 × DS0
- 16 × STM-1 in each STM-16 ITU-T G.70716 × STM-1.
- 84 × DS1 in each STM-1 ITU-T G.70784 VC-11 tributaries: 3 TUG-3 × 7 TUG-2 × 4 TU-11.
- 24 × DS0 in each DS1 ANSI T1.10724 payload timeslots. The framing bit adds 8 kbit/s and brings the line rate to 1.544 Mbit/s.
- 16 STM-1s
- 16 × 84 = 1,344 DS1s
- 16 × 84 × 24 = 32,256 DS0s
Leftover capacity
423.936 Mbit/s of each STM-16 line rate (2.488320 Gbit/s) sits outside 32,256 × 64 kbit/s of DS0 line rate (2.064384 Gbit/s). That remainder is overhead, fixed stuff or justification. It is not another whole tributary.
By bit rate only
Dividing the line rates gives 38,880, which floors to 38,880 DS0s by bit rate only. The standard mapping is 32,256. Use the mapping.