OOPS
October 3, 2023IPaddress
October 3, 2023OperatingSystems
Question 6

A CPU has only three instructions I1, I2 and I3, which use the following signals in time steps T1T5:
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

Question 6 Explanation:
We just have to see which option gives 1 whenever Ain is 1 and 0 otherwise.
So, Ain is 1 in T3 of I1, I2 and I3. Also during T1, and T2 and T4 of I3. So, answer will be
T1.I1 + T2.I3 + T4.I3 + T3.I1 + T3.I2 + T3.I3
Since, CPU is having only 3 instructions, T3.I1 + T3.I2 + T3.I3 can be replaced by T3.
So, T1.I1 + T2.I3 + T4.I3 + T3
So, Ain is 1 in T3 of I1, I2 and I3. Also during T1, and T2 and T4 of I3. So, answer will be
T1.I1 + T2.I3 + T4.I3 + T3.I1 + T3.I2 + T3.I3
Since, CPU is having only 3 instructions, T3.I1 + T3.I2 + T3.I3 can be replaced by T3.
So, T1.I1 + T2.I3 + T4.I3 + T3
Correct Answer: A
Question 6 Explanation:
We just have to see which option gives 1 whenever Ain is 1 and 0 otherwise.
So, Ain is 1 in T3 of I1, I2 and I3. Also during T1, and T2 and T4 of I3. So, answer will be
T1.I1 + T2.I3 + T4.I3 + T3.I1 + T3.I2 + T3.I3
Since, CPU is having only 3 instructions, T3.I1 + T3.I2 + T3.I3 can be replaced by T3.
So, T1.I1 + T2.I3 + T4.I3 + T3
So, Ain is 1 in T3 of I1, I2 and I3. Also during T1, and T2 and T4 of I3. So, answer will be
T1.I1 + T2.I3 + T4.I3 + T3.I1 + T3.I2 + T3.I3
Since, CPU is having only 3 instructions, T3.I1 + T3.I2 + T3.I3 can be replaced by T3.
So, T1.I1 + T2.I3 + T4.I3 + T3
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