JUAL Urade: Q: [10 marks, CLO: 04] Using a decoder and external gates, design the combinational...
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
2. Using one decoder and external gates, design the combinational circuit that implements all the following three Boolean functions of the system
Using a block diagram of a decoder constructed from NAND gates (so negative outputs) and external OR or NOR gates, design the combinational circuit for the following Boolean functions: 8. Using a block diagram of a decoder constructed from NAND gates (so negative outputs) and external OR gates, design the combinational circuit for the following Boolean functions: Fl(A,B,C)-2(1, 2, 5,7) F2 (A,B,C) = Π(0, 1,5) F3(A,B,C) -II(0, 1, 2,4, 5)
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
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
(a) Convert 10100011 from binary to decimal (b) Convert (5789) 10 to Octal (c) Convert (2576), to binary (d) Convert (ABDF).. to decimal (e) Convert (241823), to Hexadecimal Q2. (a) Subtract 1100110 from 0110001 using 2's complement (CLO 1: 2 MARKS) (b) Add 79 and (-98) using 10's complement (CLO 1: 2 MARKS) Q 3. Derive the Boolean expression for the logic circuit shown below: (CLO 1: 3 MARKS) A Q 4. Simplify the given Boolean expression using Boolean laws...
[10] A combinational circuit is specified by the following three Boolean function: F1(A,B,C) = {(2,4,7) F2(A, B, C) = 2(0,3) F3(A,B,C) = {(0,2,3,4,7) Implement the circuit with a decoder constructed with NAND gates and NAND or NOR gates connected to the decoder outputs. Use block diagram for the decoder. Minimize the number of inputs in the external gates.
Design the circuit with a 3-to-8 decoder and external OR gates. 8 Assume we want to implement a function: =Zm(1,2,6,7) (F(X,Y,Z You may label necessary parts of the diagrams with x, X, Y, Y', Z, Z', 1,0, F, etc.. a. Show how to implement the function F using only the decoder below and one additional gate. +5V Q7 EN Q6 Q5 Q4 Q악 Q1 SO
A combinational circuit is specified by the following three Boolean functions: F(A,B,C) = Σ(3,5,6) F(A,B,C) = Σ(1,4) F(A,B,C) = Σ(2,3,5,6,7) Implement the circuit with an active-low decoder and appropriate gates
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....