Chapter 7, Problem 7.33P

Problem A medical research facility is developing a proton accelerator for cancer treatment using proton therapy. The accelerator is designed to generate a beam of protons that precisely targets and destroys cancerous cells while minimizing damage to surrounding healthy tissue. However, there is an issue with the beam trajectory, which deviates from the intended direction when subjected to electric and magnetic fields. A team of engineers has been assigned to diagnose and resolve this issue. -The accelerator generates a beam of 10" protons with an initial velocity of v = 3 × 10° m/s in the y-axis direction. -An electric field of E = 200 kV/m is applied in the negative z-axis using a set of electrodes. -A magnetic field of B = 0.1T is applied along the z-axis using a solenoid to redirect the protons. - However, the beam does not align with the expected trajectory, indicating an error in field configuration or an unaccounted force acting on the protons. Answer the following questions 1.…

Design a synchronous binary up-counter using 4 negative edge-triggered JK flip-flops provided with a clock. The states (sequences) 1100, 1001 and 1000 are considered as unused states. (i) Draw the state diagram of the counter. (ii) Build the counter's state table showing the synchronous inputs of the JK flip- flops as well. (iii) Using Karnaugh-maps, find the minimal sum-of-products (SOP) form of the equations for the inputs to the flip-flops; assume the next states of the unused combinations to be "don't care states”. (iv) Draw the logic circuit of the counter.

Design a synchronous sequential circuit with two T flip-flops A and B, one input y and one output Z. When y = 0, the state of the circuit remains the same and Z= 0. When y = 1, the circuit goes through the following state transitions from 00 to 01 to 11 to 10 and back to 00, then repeats, while Z = y for states 10 and 11 and Z = y for states 00 and 01. Assume that state 00 is in the initial state. Provide a table that shows: the input and output values the states (present and next) for the two T flip-flops (i) (a) (b) (ii) (iii) Draw the resulting logic circuit. Using Karnaugh-maps, find the minimal sum-of-products (SOP) form of the equations for the inputs to the T flip-flops and the output (Z).