1 Represent the decimal number 5.147 in: (10) (a) BCD, (b) 2421 code. 2 Convert F(A, B, C)=(AC+BC) AB into sum of minterms. (10) 3Simplify following function using K-MAP (10) (a) F(A, B, C, D)= m(0,1,2, 3,4,5, 6, 7, 8,,9,10,11,12,13,14,15) (b) F(A, B, C, D)= M( 3, 4, 6, 7, 11, 12, 13, 14, 15) 4The state of a 12-bit register is 100010010111. What is its content if it represents :(15) (a) Three decimal digits in BCD? (b) Three decimal digits in the 8-4-2-1 code? (c) A binary number? 5 Analyze following combinational logic circuit (15) 6 Simplify the following Boolean function into (10) (a) sum-of-products form and (b) product-of-sums form: F (A, B, C, D) = (0, 1, 2, 5, 8, 9, 10)

Q: Express the function F(A, B, C)=A+B'C in a sum of minterms form. OF(A, B, C) = Σm (0,2,5,6,7) Ο…

A: Answer: option 4   m(1,4,5,6,7)

Q: Simplify the following functions using a K-map: (a) F(X,Y) = m2 + m3 (b) F(X,Y) = X + X'Y (c) F(X,Y)…

A: As per our guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other parts in…

Q: Consider the f 1(a, b, c) = En 2(a, b, c) = En

A:

Q: Identify that function which generates the Karnaugh map illustrated: A D B O F = Em(0,3,12,15) Ο F-…

A: Actually, given information regarding k-map.

Q: make a 3 variable k map with the function: xy(bar)z+x(bar)yz+xz

A: The given expression can also be written as: - Also, the expression is in the SOP form, but SOP…

Q: Home work: Convert the (1) (854). Ca) ollolo000o Il1001) () (3) ( loo0|lol) → ( .

A: BCD  decimal 0000 0 0001 1 0010 2 0011 3 0100 4 0101 5 0110 6 0111 7 1000 8 1001…

Q: 16 Let C be the binary code of vectors (C₁, C2, ..., C8) € GF(2) ¹6 satisfying the equations Σi=1 Ci…

A: Binary code is a set of n dimensional binary vectors. The weight of a word is the number of it's…

Q: Q10/The minimum sum-of- products for the following function is :G(A,B,C,D,E,F)= m(0,3,7,8)…

A: Here is the solution:

Q: Em[6, 7, 8 ne implicar 11

A:

Q: un using a Ramaugh map (R-map): M = AB + ABCD + CD + BŪD + ABCD

A:

Q: Q.1.(a) (i) Use Karnaugh map to minimize the following SOP expression and also implement the…

A: Given, Y=A'BC+A'B'C'+ABC'+AB'C' Truth Table: A B C Y 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1…

Q: 3. Use cubic splines to approximate the function f(x) = cos(x²) at x = 0, 1, 2, 3, 4, 5. Let S; be…

A: The solution is given below:

Q: Q1: Simplify using Karnaugh map, based SOP:

A: Subject: Digital circuit and fundamentals of microprocessor. Sum Of Product: The sum of products is…

Q: For the 4 variables K-map shown below, the simplification of the function F within don't care…

A:

Q: 1. The incompletely specified logic function f(a, b, c, d) is given below: f(a, b, c, d) = U₁(0, 1,…

A: Note: Questions have multiple sub-parts and are the first 3 parts 1. a---> K-Map solution Minterm…

Q: = Simplify the equation in SOP form using K-maps: F (A, B, C, D) E (0, 6, 8, 13, 14); d (A, B, C,…

A: SOP is also known as sum of product.

Q: Question 6 The product-of-sums expression for the function !A!B + BC is hint: use Karnaugh map) O…

A: Solution for given question, Boolean algebra laws: A.0=0 A.1=A A.A=A A.A'=0 A+A=A A+A'=1

Q: Q9/The minimum sum- of- products for the following function isF(A,B,C,D,E)=Σm(0,1,15,16,17)…

A: Step 1: Group the minterms based on the number of ones in their binary representation and arrange…

Q: (iii) Simplify the function f(A, B, C, D) = Σ(0, 1, 6, 7, 11, 14, 15) using K-map.

A: Simplify the function f(A, B, C, D) = Σ(0, 1, 6, 7, 11, 14, 15) using K-map.

Q: use K-map to write the minimized SOP and POS forms of the following function F(4,B,C,D,E)=…

A: K-map SOP is Sum of productSOP is formed by grouping 1's K-Map POS is product of sumPOS is formed by…

Q: 4 Express the function F(A, B, C)=A+B'C in a product of maxterms form. F(A, B, C) F(A, B, C)…

A: Below I have provided a solution for the given question.

Q: owing function 1, 3, 5) + d(2, 6) + d(2, 3, 5) ons are possib

A:

Q: 1- Simplify the following Boolean functions using K-maps a. F(x, y, z)=(0,2,4,5) b. F(w, x, y,…

A: Boolean functions play a important role in designing a digital circuit and helping simplifying…

Q: 1.a) Find Function Y from the K-map below. [ Table 1.1 AB AB C 1 1 C 1 1 Y(A, B, C) = ? д b) Given…

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Q: For the K-map given in the Figure CD AB 1 1 1 1 1 1 1 1 Which one is the correct function? OF(A,…

A:

Q: Q1/ Simplify the following Boolean functions in products of sums using K-map: a) F (w, x, y, z) =…

A: simplify the boolean function in products of sum using K-map a) F (w, x, y, z) =∑ (0, 2, 5, 6, 7, 8,…

Q: H.W Find DFT of the following sequence [ 1-1-1-11 11-1] a) Reduced DIT FFT b) Roduced DIE FET

A:

Q: 6. Show the complete PLA implementation of the following Boolean functions. P (A, B, C, D) = {(1, 2,…

A:

Q: {[ {[::]-« 0 0 a (b): Let U = : a, b E R} and W: : c, d ER} be 0 0 two subspaces of M2 (R). Show…

A:

Q: a) Determine the function from the K-maps below:    A'B' A'B AB AB' C' 1 1   1 C     1   b)…

A: K-map or karnaugh-map used to reduce the number of expressions without using theorems. This takes 2…

Q: Reduce the following function using k-map technique, F(A, B, C, D) = π(0, 2, 3, 8, 9, 12, 13, 15).

A: The Answer is in Below Steps

Q: Express the function F(A, B, C)=A+B'C in a sum of minterms form. OF(A.B. C) = m(0,2,5,6,7) OF(A, B,…

A: In order to solve this question, let us first consider the expression and transform it to a…

Q: Given g = {(1,c),(2,a),(3,d)}, a function from X = {1,2,3} to Y = {a,b,c,d}, and f =…

A: In this question, we are given two functions f and g. And we have to find out the fog as a set of…

Q: Draw a Karnaugh map for the following function; X= [m(0, 2, 3, 6, 7, 8, 10, 11, 14, 15) Then…

A:

Q: The complement of the function F(A,B,C, D) = I (2, 4, 7, 10, 12, 14) is O F-7…

A: If we are given with expression starting with sigma then it represents sum of product (sop) or…

Q: 1. Create a K-map for each of the following functions: i. X1 X2| f 0 0| 1 1 1 1 1 ii. f (x1, x2, x3)…

A: K-map:-  Without using any Boolean algebra theorems, we can easily minimize Boolean expressions of…

Q: Væ(P(x) → Q(x)) Эa(R(z) Л Р(2)) .. Jæ(R(x) ^ Q(x))

A: Below i have answered:

Q: Q9) In the shown single-layer N. N., apply the forward propagation algorithm to calculate the output…

A: Step Function:      The step function takes any input value and returns either 0 or 1 based on…

Q: Q10/the minimum sum- of- products for the following function…

A: A'CDE+A'BC'D'E+A'B'C'+A'B'C+A'B'C. Explanation: Approach to solving the question:   1) First, we use…

Q: 1. Consider the following functions of n. (1) (2) (3) fi(n) = n, if n = 2.k for k = 0, 1, 2,... =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Q9/ The minimum s FA,BC.D.E)- Σm (0_ method* O None of them O B'C'D'+A'BCD O A'B'C'D'+A'BCD+A O O

A: Digital gates are the fundamental electronic components of any digital circuit.The number of digital…

Q: Q10/the minimum sum- of- products for the following function is F(A, Β,C, D, E) = Σm (0,3,5,7,9) +…

A: Lets see the solution in the next steps