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1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x,...
1. Using only half adders, design a four-bit incrementer circuit (a circuit that adds 1 to a four- bit binary number). 2. Using only 2-to-4 line decoders with enable, construct a 4-to-16 line decoder. 3. Using a decoder and external gates, design the combinational circuit defined by the following three Boolean functions: F = x'y'z' + x2 F2 = xy'z' + x'y F3 = x'y'z + xy
Computer architecture Having the next Boolean functions: F1(x,y,z)-П (1, 3, 5) . F2(x,y,z)-Σ (0, 2, 4, 5) . 1. Make one logic gate design circuit, using AND, OR and NOT logic gates (20 points). 2. Design two 4-to-1 selectors, one for each Boolean function (20 points) 3. Design one 3-to-8 decoder to solve both Boolean functions (20 points) 4. Design a 8x2 ROM to solve both Boolean functions (20 points) 5. Design a 3x5x2 PLA to solve both Boolean functions...
Design a four-bit combinational circuit 2'scomplementer. (The output generates the 2's complement of the input binary number.) Construct a 5-to-32-line decoder with enable by using 3-to-8 and 2-to-4-line decoders with enables For the decimal-to-BCD encoder given in the text (Slide 33 of chapter 5), assume by error that the 6 input and the 3 input are both HIGH. What is the output code? Is it a valid BCD code? Construct a 16 times 1 multiplexer with 4 times 1 multiplexers....
2. (20) A combinational circuit is defined by the following four Booelan functions Fi = XYZ + XYZ + XYZ F2 = XYZ+YZ F3 = Y Z + XY F= XY + XYZ Design the circuit with decoder and external OR gates. Hint. Please use 3-8 decoder
Part I Consider the combinational circuit shown in the figure. (25pts) 1. T2 Ts A.) Derive the Boolean expression for T1 through T4. And evaluate the outputs as a function of the inputs. B.) List the table with 16 binary combinations of the four input variables. Then list the binary values for T1 through T4 and outputs F1 and F2 in the table C.) Plot the Boolean output functions obtained in part (B) on maps, and show that the simplified...
Provide detailed reponse on a separate sheet of paper 28) Using K-Maps, simplify the following: a) F(W, X, Y,Z) (0,2,6,8,10,14) b) F(W, X, Y, Z) 2(7,10,11,13,14,15) 29) Design a logic circuit to determine SQUARE OF THE SUM of TWO "2-bit" numbers. Define binary inputs and outputs, and provide: (a) Truth table (b) Digital circuit implementation using decoder(s) 30) Design a logic circuit that takes 0-9 (in binary) and turns ON corresponding LEDS L1 - L7. For example, all LEDS but...
2. Design a combinational logic circuit with three inputs x, y, and z, and three outputs A, B, and C. When the binary input value is 0, 1, 2, or 3, the binary output value is 2 greater than the input, i.e. (ABC) = (xyz) + 2. Otherwise, the binary output value is 3 less than the input, i.e. (ABC) = (xyz) – 3.
A combination circuit is specified by the following Boolean functions listed below. h(a, b, c) = b,c' + a'c Implement the circuit with a 3x8 decoder. Provide truth table and drawing the logic/circuit diagram. Use the block diagram for the decoder provided in Figure A4 in supplements. Please label the inputs and outputs clearly. Note: use single 3x8 decoder Question 2 (15 points] A priority encoder is an encoder circuit that includes the Truth Table of a priority function. The...
Please solve the problems from 2_5 Digital system Problem 2 Design a combinational circuit with inputs a, b, c, d and outputs w, x, y, z. Assume that the inputs a, b, c d represent a 4-bit signed number (2s complement). The output is also a signed number in 2s complement which is 5 greater than the input if the input is less than 2, and is 2 less than the input if the input is greater than or equal...
Derive the truth table for the following Boolean functions: F(x,y,z) = x'y'z' + x'yz + xy'z' + xyz