Design a circuit that has a 3 bit binary input (representing 0 through 7) and outputs a 1 if the input is a prime number. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.
a) Fill out a truth table that represents the logic equation for this circuit: Y = F(A,B,C).
b) Using a Karnaugh map simplify the logic equation.
I got the same output using truth table and k-map simplification by considering prime number output is one. and designed the circuit for the simplified logic equation.
Design a circuit that has a 3 bit binary input (representing 0 through 7) and outputs...
Design a combinational circuit which inputs a three-bit binary number, and outputs the input number PLUS two if the input is less then or equal to 3, and outputs the minus two if the input is greater than 3. This should include the truth table for the operation, the karnaugh map(s), and the resulting circuit.
Design a combinational logic circuit which has one output Z and a 4-bit input ABCD representing a binary number. Z should be 1 iff the input is at least 5, but is no greater than 11. Use one OR gate (three inputs) and three AND gates (with no more than three inputs each). Using K-map, find min SOP and min POS form for the outputs W, X
Design a combinational circuit that adds 1 to 3-bit unsigned binary number and produces an unsigned binary result. Do the following: (1) determine the number of inputs/outputs, (2) write the truth table, (3) simplify the output functions by using maps and (4) draw the logic diagram by using AND OR and NOT gates. Show the truth table, the map, and the logic diagram. Do NOT use adders.
acer Question Three Design a circuit with t wo inputs x & y representing the bits in a binary number and outputs a& b also representing bits in a binary number. When t output is reversed. When the input is 1 and 3, the output s O and 2, the Any carry forward is discarded a) Show your truth table b) Find and simplify the Boolean expression for the o utputs a & b. c) Draw one logic circuit to...
Design a circuit to add two 2-bit binary numbers and display the results of the addition as a 3-bit binary number, with the most significant bit be the carry out. To do this, you will use the four switches on your Breadboard Companion as your two 2-bit number inputs. Three of your LEDs will be used to represent the 3-bit output of your circuit. Complete a truth table for the expected output values on the lab data sheet attached. Use...
Design the logic circuit to display a 3 bit octal numbers from 0 to 7 on a seven segment display shown below (for number 1 use segments b and c; for 6 include segment (a) Write the Truth Table with A, B. C representing the input bits (A is the MSB) and a, b, c, d, e, f and g representing the outputs to the seven segments. (b) Implement the circuit using a Programmable Logic Array (use simplified notation to...
[5 pts] Design a circuit with three inputs (x,y,z) and one output that outputs true if the binary value of the inputs is a perfect square (it's square root is an integer). Construct the truth table, simplify using a K-map, and draw out the logic circuit diagram [5 pts] Design a circuit with three inputs (x,y,z) and one output that outputs true if the binary value of the inputs is a perfect square (it's square root is an integer). Construct...
design and build a 4 bit binary multiplier that multiplies two 4 bit unsigned positive numbers to generate a 8 bit unsigned positive number. using full adders. do not use 4 bit multiplier chip. use truth table, karnaugh map and simplified output expression of the circuit.
Design a circuit with three inputs (A, B, C) and two outputs (F1, F2). The first output F1 is logic 1 if the number of l’s in the binary number is less than the number of O's, otherwise F1 is logic 0. The second output F2 is 1 if the binary input is 2, 4, 5, 6,7 otherwise the second output F2 is logic 0. a. Derive the truth-table for F1 and F2 as a function of the 3 inputs....
Design a combinational circuit that accepts a 3-bit binary number input x and generates a 6-bit binary number output equal to the xth Fibonacci number F(x) = F(x-1) +F(x-2) where F(0) = 2 and F(1) = 3.The book we are using in class is this: http://www.cramster.com/logic-and-computer-design-fundamentals-4th-solutions-3631 and we are on chapter 3.