A CPU has only three instructions $I1, I2$ and $I3,$ which use the following signals in time steps $T1-T5$:
$I1 : T1$ : Ain, Bout, Cin
$T2$ : PCout, Bin
$T3$ : Zout, Ain
$T4$ : Bin, Cout
$T5$ : End
$I2 : T1$ : Cin, Bout, Din
$T2$ : Aout, Bin
$T3$ : Zout, Ain
$T4$ : Bin, Cout
$T5$ : End
$I3 : T1$ : Din, Aout
$T2$ : Ain, Bout
$T3$ : Zout, Ain
$T4$ : Dout, Ain
$T5$ : End
Which of the following logic functions will generate the hardwired control for the signal Ain ?
- $T1.I1 + T2.I3 + T4.I3 + T3$
- $(T1 + T2 + T3).I3 + T1.I1$
- $(T1 + T2 ).I1 + (T2 + T4).I3 + T3$
- $(T1 + T2 ).I2 + (T1 + T3).I1 + T3$