We want to design a circuit to detect prime numbers. The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise. B. Implement the circuit using a 4× 1 multiplexer and combinational logic gates. C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?

We want to design a circuit to detect prime numbers. The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise. B. Implement the circuit using a 4× 1 multiplexer and combinational logic gates. C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?

Electric Motor Control

10th Edition

ISBN:9781133702818

Author:Herman

Publisher:Herman

Chapter22: Sequence Control

Section: Chapter Questions

Problem 6SQ: Draw a symbol for a solid-state logic element AND.

See similar textbooks

Similar questions

Given the following pullup circuit A-Design the pulldown circuitry B- What is the logic function implemented by this would be?
i)Simplify the expression in the image shown below using the Kamaugh map ii)Illustrate the results gotten on a logic circuit
Consider two binary numbers where the first is made of three bits whichcan be represented by X, Y, and Z, while the second is two bits and isrepresented by A and B. Design a logic circuit that multiplies X Y Z timesA B, using two half adders, one full adder in addition to AND gates.
Draw the combinational logic circuit diagram by using the equation (ab’ . (a + c))’ + a’b . (a +b’ + c’)’
Q (A, B, C) = A̅ .B̅. C +A̅ .B. C + A .B. C̅ + A.B.C Karnaugh function given in the form Using the mapping method, you can use the simplified function separately in terms of minterms and maxters. obtain. Output functions with AND NOT for minterms and OR for maxters. Install separately with logic doors.
Create the logic diagram of the two bits full adder
Using Logisim, draw the combinational logic circuit diagram by using the equation: (ab’ . (a + c))’ + a’b . (a +b’ + c’)’
Construct the logic for 4-bit binary adder-subtractor using 4-bit parallel adder and XOR gates, draw the logic diagram, construct the circuit on hardware and complete the truth table
Q (A, B, C) = A̅ .B̅. C + A̅ .B. C + A .B. Obtain the function given as C̅ + A.B.C, simplified by the Karnaugh Map method, in terms of minterms and maxters separately. Set the output functions separately with logic gates with AND NOT for minterms and OR for maxima.
Digital logic design Make the truth table And And prove that it is equal to A+B+C
design a 3-bit ring counter using D flip flops draw the logic diagram
. Design a combinational circuit to convert a 4-bit binary number to gray code using(a) standard logic gates,(b) decoder,(c) 8-to-1 multiplexer,(d) 4-to-1 multiplexer.