A circuit has four inputs p,q,r,s representing the natural binary number 0000=0,to 1111=15 p is the most significant bit .the circuit has one output, x,which is true if the input to the circuit represent is a prime number and false other wise (A) design a true table for this circuit, and hence obtain an expression for x in terms of P,Q,R,S. NETWOR"(7ㄱt1.atИaELitnDECt111Q3. A circuit has four inputs P,Q,R,S, representing the natural binary number 0000=0, to1111=15. P is the most significant bit. The circuit has one output, X, which is true if the input to thecircuit represents is a prime number and false otherwise (A prime number is a number which is onlydivisible by 1 and by itself. Note that zero (0000) and one (0001) are not considered as prime numbers)a) Draw the truth table to represent the problem and obtain the function F as a Sum ofminterm.b) Use the Karnaugh map to obtain a simplified expression for the function F.c) Construct the circuit to implements the function using NOR gates only.SECTION B: SEQUENTIAL CIRCUITSQ4. Study the following state diagram carefully where X is the input, Y is the output and ABare the states variables.1/0011/00/00/0?0/0000/01/1115(a) Develop the state table with present state, ck-input, next state and input to flip flop (JK)(b) Develop the sequential logic circuitQ5. A sequential circuit whose specification is given in the state diagram below.1/00/01/1&0/01/10/00/01/11/01/01/10/0100/00/0nminstDevel(a)( OOABICP00O10O0O0Developed:(a) The state table of from the state diagram.0(b) The state-reduction table.(c) Redraw the state-reduction diagram.(d) Assign 3 bits binary codes to the reduced states and treat the unused states as don't cares.(e) Implement the sequential circuit using JK flip flops.OQ6. Design a four bits Binary Coded Decimal counter using T flip flops going throughthe states in the reverse order and treat the unused states as don't cares.OOoO1 O11(1o1 1000OO1OABCA0001000411/12008ol112/13(b))มP Q R SX = 1 = Print number។1"Tiz10237615111410State tablo

The whole number which is greater than 1 and having only two factors -1 and itself is termed as…

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Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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A circuit has four inputs p,q,r,s representing the natural binary number 0000=0,to 1111=15 p is the most significant bit .the circuit has one output, x,which is true if the input to the circuit represent is a prime number and false other wise (A) design a true table for this circuit, and hence obtain an expression for x in terms of P,Q,R,S.