Using an 4-to-1 multiplexer, design a logic circuit to realize the following Boolean function, C) = E m(1,2,6,7)
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- Using an 2 of 4-to-1 multiplexer and 1 of 2-to-1 multiplexer, design a logic circuit to realize the following Boolean function F(A,B,C) = m(2, 3, 5, 6, 7)A logic function f(A,B,C) implemented with 4x1 MUX circuit. Implement the same function with using only one 4x1 MUX. (B and C are selection inputs B=S1; C=S0)Simplify the expression f (A,B,C,D) = Sm (0,1,4,8,9,12,14,15) using K– map and realize the final expression using basic logic.
- Simplify the following Boolean functions using K-Map and Design the Logic diagram. a) F (A,B,C) = Em(0,1,2,4,7) b) F (A,B,C,D) = m(1,3,9,11,12,13,14,15) c) F (A,B,C,D) = Em(3,7,11,13,14,15) %3D %3D1. Given the Boolean expression (b + d)(a’+ b’ + c),a. Convert the expression to the other standard form. What do you call this standard form?b. Derive its canonical form. What do you call this canonical form?c. Derive the other canonical form. What do you call this canonical form?d. Provide the truth table of the expressione. Draw the logic circuit diagrams of the 2 standard formsConsider the given logic equation below. Draw the logic diagram then simplify it using Boolean Algebra. Draw the logic diagram based on the simplified logic equation. X = A'BC' + A'B'C' + AB'C + AB'C' + A'B'C From the given logic diagram, trace the output using all possible input combination. Give it a conclusion upon completion..
- DIGITAL LOGIC DESIGN Are the following addition results Overflow or underflow and why?Write a program to implement the following logic circuit, where A,D,E are 8085 registers. Store the results in ML :2050 (D) -F (2050) (A) (E)Design the following combinational logic circuit with a four-bit input and a three-bit output. The input represents two unsigned 2-bit numbers: A1 A0 and B1 B0. The output C2 C1.C0 is the result of the integer binary division A1 A0/B1 B0 rounded down to three bits. The 3-bit output has a 2-bit unsigned whole part C2 C1 and a fraction part CO. The weight of the fraction bit CO is 21. Note the quotient should be rounded down, i.e. the division 01/11 should give the outputs 00.0 (1/3 rounded down to 0) not 00.1 (1/3 rounded up to 0.5). A result of infinity should be represented as 11.1. A minimal logic implementation is not required. (Hint: start by producing a truth table of your design).
- In this assignment, you are required to design a circuit that counts and displays the sequence of the number 010430011092 . The number will then be displayed on a 7-segment display and changed every 1 second. The block diagram is as shown in Figure 1. Construct your design as follow: - (a) Design a combinational logic circuit that converts binary number to a sequence of the number 010430011092 and to be displayed on a single common anode 7-segment display. The logic circuit must be designed using 2-input NAND gate1. Design a combinational logic circuit that compares two 4-bit numbers A and B. The circuit should output the relation of the two inputs. Use an available TTL IC for the design.Consider the circuit below. The switches are controlled by logic variables such that, if A is high, switch A is closed, and if A is low, switch A is open. Conversely, if B is high, the switch labeled is open, and if B is low, the switch labeled is closed. The output variable is high if the output voltage is 5V, and the output variable is low if the output voltage is zero. a. Write a logic expression for the output variable. b. Construct the truth table for the circuit. A Logic 1 5V(+ B C Logic 0 R