1. Design a 4-to-1 multiplexer for the selection lines X1 1 and Xo= 1. 2.Using K- Map, simplify the following Boolean expression : X=(5,8,9,11,14)
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Q: 1. Design a 4 - to – 1 multiplexer for the selection lines X, = 1 and X, = 1.
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- 1. a. i. Draw the gates required to build a half adder are ii. When simplified with Boolean Algebra (x + y)(x + z) simplifies to : iii. The output of a logic gate is 1 when all its inputs are at logic 0, the gate is either :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 ----:1. Design a 4 - to - 1 multiplexer for the selection lines X1 = 1 and Xo = 1 . 2. Using K - Map , simplify the following Boolean expression : X = ( 5,8,9,11,14 ). 3. Build the logic circuit for the function F1 = XYZ + YŽ + YZ using PAL
- USE DIGITAL LOGIC AND DESIGN Part 1: In Figure_4; we have 4-bit Comparator using 2-bit Comparators block. You have to satisfy given condition by applying all data on figure 4. At the end, given condition should produce HIGH output and other two should be LOW. A3 A2 A1 A0 = 1101 and B3 B2 B1 B0 = 1110 Figure_4 Part 2: The serial data-input waveform (Data in) and data-select inputs (S0 and S1) are shown in Figure_5. Determine the data-output waveforms from D0 through D3. Figure_5 Part 3: Decoder can be useful when we have to decode some specific numbers from their equivalent code. Figure 6 has a concept of 3 to 8 line decoder from which you have to generate output waveform from D0 to D7 with proper relationship to input. Figure_6 Part 4: The data-input and…A logic function is expressed by the equation = 0.1.8.9.4. Plot the the values on the K-map below Note: w is the msb (most significant bit) 3 x 10 0- - W X 1 00 01 Write the simplified Sum of Products (SOP) expression. Use yz WIM or "" for NOT; 11 10 for AND; "+" for OR (without the quotation marks.Given the circuit: L 1. Write the logical expression for output 'A’. 2. Simplify the logic expression. 3. Draw the minimized logic circuit.
- 1 - Design 3-bit Gray code generator 1-1 Construct the Truth Table of the 3-bit Gray code generator Logic Circuit. 1-2 1-3 1-4 Write down Standard SOP expression of the three output bits B2, B1, BO Without using minimization. Simplify the logic by using K-map. Write down the simplified expressions of B2, B1, B0. Sketch the logic circuit with basic gates.1. Design a 4 - to – 1 multiplexer for the selection lines X, = 1 and X, = 1. 2.Using K- Map, simplify the following Boolean expression : X= (3,2,1,11,14) 3. Build the logic circuit for the function F1 = XYZ + YZ + YZ using PALBasic Combinational Logic Circuits 2. Write the output expression for logic circuit: A B B X
- 1. Design a 4 - to - 1 multiplexer for the selection lines X1 = 1 and Xo = 1. 2.Using K- Map, simplify the following Boolean expression : X=(3,2,1,11,14) 3. Build.the logic circuit for the function F1 = XYZ + YZ + YZ using PALQ1 / (a) Draw a 4-bit ADD/SUB and show the inputs and outputs of all logic circuit for inputs numbers A3 A2 A0 A₁ =1001 B3B2 B₁ Bo-0101 (b) Implement the following function using (4*1) multiplexer F(A,B,C)=E(1.3.4.5)For a ((A+B)' + (A'B')) Boolean equation, with the input waveforms as shown in Figure 2, which output waveform is correct? INPUT A INPUT B OUTPUT a OUTPUT b OUTPUT C OUTPUT d- Figure 2 Output b Output a Output d Output c A full adder logic circuit has Three inputs and three outputs. Three inputs and two outputs. Two inputs and one output. Two inputs and two outputs.