Design a four-bit combinational circuit 2's complementer. (The output generates the 2's complement of the input binary number.) The table below shows ABCD as input and wxyz as output. Find the Boolean functions for w, x, y and z, respectively.
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- 8- Add and subtract the following numbers without converting them into decimal. Binary numbers (10101111)2 and (10010101)2 ● ● ● Binary numbers (11001001)2 and (10110101) 2 Hexadecimal numbers (71) 16 and (2C)16 8. a. Draw the logical circuit using AND, OR, and NOT gates of the following Boolean function F = x'y + xz' +yz. b. Construct the truth table of the function. Redesign your circuit using NAND gates.Implement the following Boolean function by using 2x1 multiplexers only.F(A,B,C,D) = ∑ (1,3,4,8,10,11,13,14)Based on the following image answer the following questions; a. Write a boolean algebra expression for each of Q0, Q1, Q2, and Q3: b. Draw a circuit that produces each of the functions from a single set of inputs A1 and A0: c. Each input combination of A1 and A0 represents a 2-bit binary number. How is this related to the outputs?
- Design a combinational circuit that increments the 4-bit binary input. The output of the circuit is also represented as 4 bits. For example, if the input is 0011 then the output is 0100. Note: the increment of 1111 is 0000. Let the input variables be A, B, C, and D, while the output variables be W, X, Y, and Z. What is the boolean function (in sum of minterm format) of output W? What is the boolean function (in sum of minterm format) of output X? What is the boolean function (in sum of minterm format) of output Y? What is the boolean function (in sum of minterm format) of output Z?Q2: Implement the Boolean function E(A,B,C) = AB + A'C + A'B' Using a single 4x1 multiplexer.Find the complement of the following expressions: z + z ′ ( v ′ w + xy )
- 1. DESIGN A COMBINATIONAL CIRCUIT THAT GENERATES THE 9'S COMPLEMENT OF A BCD DIGIT.2 DESING A COMBINATIONAL CIRCUIT THAT COMPARES TWO 4-BIT NUMBERS B AND C TO CHECK IF THEY ARE EQUAL. THE CIRCUIT HAS ONE OUTPUT, Z, SO THAT Z = 1 IF B = C AND Z = 0 IF B IS NOT EQUAL TO B.3. A COMBINATIONAL CIRCUIT IS DEFINED BY THE FOLLOWING THREE BOOLEAN FUNCTIONS. DESIGN THE CIRCUIT WITH A DECODER AND EXTERNAL GATES F1= X'Y'Z' + XZ F2= XY'Z' + X'Y F3= X'Y'Z + XY *HINT: OBTAIN THE KMAP AND TRUTH TABLEQ1: (A) Represent the sequence [1001011001] as a Miller code waveform.Design a-full subtractor with two multiplexers (MUXS) S(xy2) = E(...). C(xy2) = E(...). Connect the variable z to the data inputs. Connect the variables x and y to the selection inputs. 3. %3D
- Simplify the Boolean function. a) F = XYZ+ XYZ + XYZ+XYZ b) F = AC + AB+ ABC + BCCreate a circuit that converts NBCD code into 5311 code. If the input is not part of the NBCD code, the output is all 1. -Input should be 4-bit NBCD code, output should be 4-bits 5311 code -Create a Karnaugh map for each output bits.Implement the following expression using a multiplexer: F(A,B,C,D)=summation m(0,3,4,7,8,9,13,14)