(b) Given a Boolean expression, m = (Ā + B). (C). (A + B + C) (i) Simplified the expression, m. (ii) Analyze the simplified equivalent expression, m and draw the circuit using NAND gate only.
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- 6. For the follow logic circuit system, the output f is: 5 (A) ab. (B) a + b. (C) a'+b'. (D) a'b'. a b(b)For the logic circuit below what is F=? AFigure Q2(e) shows a programmable logic array (PLA) unit with two inputs, four columns, and three outputs. Show the steps to implement a one-bit comparator using this PLA. Note that the output should have equal (EQ), less than (LT), and greater (GT) status. A, 02 Figure Q2(e)
- DIGITAL LOGIC DESIGN Are the following addition results Overflow or underflow and why?An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4 have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.Use Boolean algebra to simplify the following expression, then draw a logic gate circuit for the simplified expression:
- 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?2.1 Combinational logic circuits. Tabulates a truth table for the following Boolean expression shown in Equation 1.1. f = A.B.C + A.B.C + A.B.C (1.1) 2.2 Half adder. A half adder is a circuit that adds two binary digits, A and B. It has two outputs, sum (S) and carry (C). The carry signal represents an overflow into the next digit of a multi-digit addition. Figure 1.2 depicted a logic diagram for a half adder. a. derives the Boolean expression for s and c. b. tabulates a truth table for the half adder. Ao Bo Figure 1.2: Half adder os S CProblem #04] Using AND and OR gates develop the logic circuit for the Boolean equation shown below. Y =AB(C + DEF) + CE(A + B +F) Problem #05] Using AND and OR gates develop the logic circuit for the Boolean equation shown below. X-A(CD+B)
- Electrical Engineering Task Figure shows a BCD counter that produces a four-bit output representing the BCD code for number of pulses that have been applied to the counter input. In particular, the DCBA outputs will never represent a number greater than 1001,-91, (MOD-10). (MSB) Logic BCD counter circuit HIGH only when DCBA=210-310, or 910 a. Draw the logic circuit using the minimum expression and then explain its operation. BYou want to design an arithmetic comparison combined logic circuit. (a) List the steps that you will apply in the design approach. Design a 4-bit comparison (greater-equal-small) circuit. Explain each step. With AND, OR, NOT gates implement. b) measure the two numbers you designed in the cercuit then talk about the result.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