truth table, then simplify that expression as much as possible, and draw a logic gate circuit equivalent to that simplified expression: * ABC Output 00 0 1 00 1 1 01 0 011 1 10 0 10 1 1 11 0 1 111 1
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- Design a circuit with logic gates that tell us if a number less than 10, codedin binary, it is either prime (1) or not (0). Minimum up to 16 combinations.True tableII. Boolean functionIII. Simplification procedure by any of the methodsDesign a Combinational circuit with a Decoder to accept 3-bit number and generate the output binary number equal to the Square of the input number.a) Derive the truth table.b) Find simplified output function in Product of Sum(POS).c) Draw the logic diagram in logisim Simulator.Prove the equality of the following boolean expression (AB)'.(CD)'=(AB+CD)'.state this theorem.implement using logic gates also
- Design a combinational logic circuit that converts a three-bit binary number from code A to code B, according to the table on the right. Answer the following questions: Code A Code B 000 000 001 001 011 010 010 011 110 100 111 101 101 110 100 111 Construct the truth table for the circuit.A combinational circuit with three inputs (A, B and C) generates the 2’s complement of the input binary number as output (Note: The number of output bits may be one more than input bits). (a) Obtain the truth table (Take output as W, X, Y, Z). (b) Obtain the simplified output function in sum of products form. (c) Draw the logic diagram for simplified output function. (d) Design the circuit using decoder also.Simplify the following Boolean expression after that you will have to draw a logic circuit for the simplified function using only 7 NOR gates: F(K,L,M, N) = Σ (0,3,4,8,11,13) + Σ d(5,9,12,15) Suppose you want to send a BCD number "(100100110101)BCD" to your friend and the sending device has an odd parity bit generator that can process a single BCD digit. Design an odd parity bit generator to send BCD digit and find out parity bit for given number.
- 3.) Logic Function F(x,y,z,w) =∑ m(0,2,4,6,8,13) + ∑ k(10,12) is given as the sum of miniterms. (Note: There are terms that are ignored.) a. Obtain the Truth Table. b. Simplify with the Karnough Map approach. NS. Implement the simplified Logic circuit with only two-input AND-NOT (NAND) gates. How many apples did you use, please comment.Direction: 1. Given the logic expression, draw a truth table as a guide in plotting the inputs in the Karnaugh map.2. Simplify the given logic equation using Karnaugh map.3. Draw the simplified circuit.Create a Truth Table of the functions below and express each function into SOP and POS, as well as the logic circuit: a) F2 = (AC'+CD') .B(C'+AD) b) F3 = (AB+C') (A+CD') Solve subparts a,b thank u
- i) Minimize the logic expression Y = BC + AC + AB using Boolean Algebra rules (Pleaseshow the steps). ii) Draw the simplified logic circuit based on the minimum expression obtained from (i).i) Analyze the logic circuit in Figure Q5(c) and obtain the Boolean expressionfor Z.ii) Construct a truth table from the logic circuit in Figure Q5(c) and explain it.Consider the Boolean expression: u = wx + yz + wx'z' + w'y. (a) Draw the Karnaugh map for u.(b) Use the map in part (a) to obtain the Karnaugh map for u'.(c) Express u' as a minimal sum of products.(d) Design a simple logic network for u'.