Question

I need to see how the instructor solved for Tc

Please show ALL work clearly

2. Two flip-flops are configured to form a simple sychronizer. Each flip- flop has the following characteristics : t- 200ps, To 150 ps, t,- 500 ps and an asynchronous frequency With t, Te -ts, how long must the synchronizer clock period (Te) be for the MTBF to be 1 year? 0.2 Hz T-ts T.e MTBF= Tf. T-(500x 10) 200x10 l yrTX10's Te (150x10 12)(0.2 Hz)

Answer 1

20lutioo Gfoen dato E2copS SO PS To 500 PS is Asynchoonous8 peeuency 0.2H3 know that we Te/T MT BF eTe/ MTBF X foXfs TeTs 365 x 4X60X60 x 10 ISOx500 T-Ts conside both sideg 909 10 on log) 365x94 x60x 60x 10T L50X500 T-TS -) 2.) 500X 10 26.623 O. 434 ogo TC 001012 26.6a3 t -12 09 to-500 X10 o. 4349 200X1012

BY oing the atocae eeuation we 9et O.434 /2 200x10 -12 500X 10 F0 26.6a3 + Tc=3/7I PS cor) 508.25 Ps Hence TC 3.1710S