(a) Use Karnaugh map to simplify the function f(A,B,C,D)=Em(1,5,7,8,9,10,11,14,15) (b)Draw a logic circuit to implement the simplified expression.
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- MNO P D For the given logic circuit, find the following: a. Logic Equation or Output b. Simplified logic expression using Boolean Algebra c. Simplified circuit S(b) Write the Boolean Expression from the given logic circuit in Figure Q5 (B). A C BO D Figure Q5 (B)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).
- 1.2 For the given Boolean expression below, implement the logic circuit without simplifying it. Not{Not((A' + B')C)}+ Not{Not(C'D)} Filters Add a caption...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?DIGITAL LOGIC DESIGN Are the following addition results Overflow or underflow and why?
- Figure 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)(a) Write Boolean expressions for each of the Logic circuit diagrams given below... Dy A A,- A,. D A, -- FAn 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.
- 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).Consider two 8-bit inputs, A = $52 and B = $C3 to the arithmetic and logic unit (ALU). Compute R =A + B. Express R in the hexadecimal form $-- : -61 Express N-Z-V-C bits in the form ----: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.