please help me solve these. discrete structures for computing. Answer the following 1) 2points Use a...
1. (5 points) Find the output of the given circuit: x х Db 2. (5 points) Find the sum-of-products expansion for the function F(x, y, z) given in the table below. y F(x, y, z) Х Z 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 3. Construct circuits from inverters, AND gates, and OR gates to produce the following output: a) (5 points) xy+xy...
Please solve the problems from 7_8 Digital system please just answer 7_8 thank you 1 Chapter 3 problems 1. Minimize the following Boolean functions into sum-of-products form using a K-majp (a) F(z, y, ;) = Σ(0, 1, 2, 3, 5, 6) (b) F(a,b, c) 20,1,4,5,7) (c) F(z,y,2)s Σ(1.3.5.7) (d) F(a, b, c) 0,4,7) 2. Minimze the following Boolean functions into sum-of-products form using a K-map (b) Fla,b,c)= Π(0.1.4.5.7) (c) F(z, y,z)= Π(2,4,6) (d) F(a,b,c)-Π(1,2,3,4) 3. Minimize the following Boolean functions...
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...
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary, convert it to decimal. [5 points] b. Assuming the sequence is 7-bit 2's complement format, convert it to decimal. (5 points c. What is the range of numbers (in decimal) that can be represented using 7-bit binary, signed 2's complement format? [5 points 2. Consider the following Boolean function: F(x, y, z) = (x + y)z'+xy! a. Implement the circuit for the function using...
Building and testing basic combinational circuits using Verilog HDL Description: Build and test the following circuits using gate-level modeling in Verilog HDL. 1. 3-input majority function. 2. Conditional inverter (see the table below: x - control input, y - data input). Do NOT use XOR gates for the implementation. x y Output 0 y 1 y' 3. Two-input multiplexer (see the table below: x,y - data inputs, z - control input). z Output 0 x 1 y 4. 1-bit half...
1. Consider the following 7-bit binary sequence "1010001" a. Assuming the sequence is 7-bit unsigned binary, convert it to decimal. 15 points] b. Assuming the sequence is 7-bit 2's complement format, convert it to decimal. (5 points c. What is the range of numbers (in decimal) that can be represented using 7-bit binary, signed 2's complement format? 15 points 2. Consider the following Boolean function: F(x, y, z) = (x + y). z'+xy' a. Implement the circuit for the function...
Question 7[ 20 Marks ] 1. The number of full and half-adders required to add 16-bit numbers is A. 8 half-adders, 8 full-adders B. 1 half-adder, 15 full-adders C. 16 half-adders, 0 full-adders D. 4 half-adders, 12 full-adders 2. How much of the following are needed to make 4 * 16 decoder 2. How much of the following are needed to make 4 * 16 decoder A. one 1*2 and two 3*8 decoders B. two 1*2 and two 3*8 decoders...
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
Use logism or any other circuit simulation program: A half adder is adequate for summing the low-order bits of two multi-bit numbers, but it will not work for a bit in the middle of a number because it does not handle the carry into the position from the right. A full adder is needed. A full adder is built up from two half adders. The Sum output line is 1 if an odd number of the inputs A, B, and...
Problem 2. Ripple Carry and Carry Look-ahead Adders For the binary adding circuit that adds n-bit inputs x and y, the following equation gives ci+1 (the carry out bit from the i" position) in terms of the inputs for the ih bit sum x, yi, and ci (the carry-in bit): Letting gi xiyi and pi = xi+yi, this can be expressed as: ci+1 = gi+piCi a) In a ripple carry adder structure, the carry bits are computed sequentially. That is,...