1. Design a logic circuit that has 3 inputs A, B, and Cand one output F. The output of the circuit is to be F= 1if the number of ones in input variables (ABC) is even, otherwise F=0. Construct the truth table. 2. Fnd the minterm expansion for the combinational circuit represented by the following truth table: ABCF 0000 0011 0100 0111 1001 1011 1100 1111
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- Part a Design a logic circuit using the truth table Inputs output shown. Use only basic logic gates (AND, OR, NOT). Also, the circuit should use the FEWEST number of gates and the FEWEST number of inputs to the gates. Fully label all the inputs and outputs. a b. 1 1 1 1 1. 1 1 Part b Implement a 3-input XOR gate using only a 4x1 multiplexer and an inverter. Also complete the truth table in your answer sheets with the correct labels and function solution. Fully label all inputs and outputs. Part c Design a full-adder using half-adders and A- additional logic using the half-adder shown here. Pi GiQ5// Design a combinational .logic circuit that has 4-inputs (A,B,C,D) and one-output (F), the output will be high "1" when the majority of inputs are high"1", and then simplify the output use POS expression in K-map and draw logic circuit.2. Consider the circuit below. a. Write the Boolean expression for output F in terms of A, B and C. b. Construct a truth table for the circuit with A as MSB and C as LSB. c. Write the Canonical SOP and POS forms for output F. A B C 3. Draw the logic circuit represented by the expression F(A, B) = AB using no more than 5 units of 2-input NAND gate and write the corresponding Boolean expression.
- 2. Write the Boolean expression of the given logic circuit as shown below. X. F =Consider a circuit that takes the numbers 0 through 7 as inputs (0=000,1=001, 2=010, ..., 7=111) and produces an output of 1 if and only if the input is an odd number). a) Draw the truth table b) Write the function c) Simplify the functionTask 4: Simplifying Boolean functions Simplify the following Boolean expression F (A, B, C) = (A+C") +C (C.A' + (B.A) +C Draw the simplified Boolean expression using EWB. Find out the truth table of the circuit.
- Q1: Let F1 = AOB, F2=AB, F3= A+C, F4= F1+F2+ F3 Implement the above Boolean expression with logic circuit .. giving the truth table.We consider a circuit having four inputs and one output. The output has the value 1 if at least half of the inputs have the value 1. In this case, the circuit is a not-a-minority circuit. 1) Build a truth table for the circuit presented in the description above. 2) Using this truth table, find a Boolean expression which represents the same function, and by using Boolean algebra, simplify it as much as possible. 3) Verify the design of the circuit.A logic circuit has four inputs, A, B, C, and D and its output (E) will be HIGH (i.e. 1) only when A least one of the other inputs are HIGH. a. Construct the truth table. b. Write Boolean expression and simplify (if possible) the expression using Karnaugh Map. c. Draw the logic circuit.
- 4. Consider the following circuit: X (i) Draw the truth table for the Boolean function F. (ii) Computer F as a Boolean expression of x and y. (iii) What is another name for the operation that F computes? FWrite the logic expression for the output (Q) in the following circuit. A BDraw the logic circuit represented by each of the following expressions: . AB + AB ( ● • AB(CD + EF)