Simplify the following Boolean functions with the Karnaugh map and tabulation method, then construct the logic circuit, truth table, and timing diagram. F(A, B, C, D) = E(0, 1, 2, 4, 5, 7, 13, 15) Input timing diagram: A: B : C: D: F:? 01 2 3 4 5 6 7 8 9
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- On a digital circuit with three switch inputs, LED operates when two or three of the switches are 1' position. a. Prepare the accuracy table of this process. b. Write logic equation according to the accuracy table and simplify the logic equation using rules of boolean algebra. c. Simplify the logic equation using Karnaugh map and draw the door circuitThis question is from the subject Digital Logic Design. Assume your register number FA19BSExxx (excluding the dashes -) is in Hexadecimal, where xxx are the three digits of your registration number. a) Represent your registration number in the binary. b) Split the ten digits of your registration into two Hexadecimal numbers M and N, where the left most five digits make number M and the right most five digits make number N. Using r’s complement, subtract N from M. In other words, calculate M – N. Solve the question for registration no SP20-BCS-156.Convert the binary number (1011101) to its equivalent decimal and BCD values. (Show you work) Convert the decimal number (478) to its equivalent hexadecimal and binary values. (Show you work) List the next twenty five hex numbers in sequence from (9E7) hex upwards, adding one each time. (Write them horizontally, with comma as separator) Answer the following logic operations : a) 0 . Z’ = b) 1 + W = c) d . d’ = d) b . b = e) X + (X+1)’ = f) 1 + X’ = g) C + B’C’ = h) B + (BC)’ =…
- 4 Design a combinational logic circuit that accept (2-bit) mumber (A) and generate an output binary mumber (X) equal to the square of input (X - A) a. List the truth table. b. Write the Boolean expressions for the output (X). c. Draw the logic circnit.Given the circuit: L 1. Write the logical expression for output 'A’. 2. Simplify the logic expression. 3. Draw the minimized logic circuit.Design a logic circuit with four inputs and one output that will produce "l" in the output only if the input patterns have odd number of zeros. a) Write the Boolean equation for the circuit in the simplest SOP form. b) Draw the logic circuit for the above equation in its simplest form. c) Re Design the logic circuit using NANI) gates only?
- Solve the following in Boolean Algebra: (BC'+A'D)(AB'+CD') A. Simplify the given function using Boolean simplification. B. Draw the logic diagram of the given equation. C. Draw the logic diagram of the simplified equation. D. Give the number of of logic gates used in the given design E. Give the number of logic gates used in the simplified design.21. (a) By referring to Figure Q1(a), derive a logic (Boolean) expression for the given circuit. If the input abcd-1011, m=1, and re-Q, what is the value of output at /? MHEU Figure Q1(a)Select all the tools used to describe functionality of a Finite State Machine or a Sequential Logic. ASM Chart Block Diagram Characteristic Table State Diagram Truth Table Timing Diagram
- 2. Answer the questions about the ladder logic program shown below. Timer_1.DN TON Timer Preset Accum a.) At 23 seconds after the program is started, what are the following values? i. Timer_1.ACC ii. Counter_1.ACC b.) How many seconds after the program starts will PB1 turn on? Timer_1.DN 36 Counter_1.DN ㅋㅌ Timer 1 (EN) 5000 (DN) CTU Counter Counter_1 CU Preset (DN) Accum 8 04 PB1The waveforms in Figure 08 are applied to the 4-bit parity logic. Determine the output wave-form in proper relation to the inputs. For how many bit times does even parity occur, and how is it indicated? The timing diagram includes eight bit times. Q.21 Bit time Ao A1 A2 A3 FIGURE 08This question is from the subject Digital Logic Design. Assume your register number SF20-BEC-xxx (excluding the dashes -) is in Hexadecimal, where xxx are the three digits of your registration number. a) Represent your registration number in the binary.b) Split the ten digits of your registration into two Hexadecimal numbers M and N, where the left most five digits make number M and the right most five digits make number N. Using r’s complement, subtract N from M. In other words, calculate M – N. Solve the question for registration no SF20-BEC-156.