Which equation converts the truth table to a sum-of-minterms? a bf(a, b) Ο Ο 1 0...

Question

Question

engineering Computer-Science

Answer 1

Answer #1

Answer

f(a, b) is 1 for a=0, b=0 (a'b') and a=0,b=1 (a'b)

so, f = a'b' + a'b

Answer: b) a'b' + a'b

Add a comment

Answer 2

Similar Homework Help Questions

Problem -2: Obtain the truth table of the following functions, and express each function in sum-of-minterms...

Problem -2: Obtain the truth table of the following functions, and express each function in sum-of-minterms and a. (b+co)(c+bd) product-of-maxterms form c. (c'+djbc) d. bd'+acd'+ab'c+a'c
Select the Minterms you would use to implement the SOP equation for the truth table below....

Select the Minterms you would use to implement the SOP equation for the truth table below. A B C Output 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 Options: m0, m1, m2, m3, m4, m5, m6, m7
Boolean algebra and Karnaugh maps 1. Convert the following equation to sum of minterms form: A(AB...

Boolean algebra and Karnaugh maps 1. Convert the following equation to sum of minterms form: A(AB + A'C) + BC A'(AC + B')

The figure below is a FSM. Type the truth table of the combinational circuit in the...

The figure below is a FSM. Type the truth table of the combinational circuit in the controller. Encoding A: S150-00 B: S150-01 C: S150-10 D: S150-11 Input: a, b Output: X X=0 X=1 a'b M ab a'b b' a'b' a'b X=0 X=1
1- Write the unsimplified POS Boolean equation for F from the Truth Table. F = 2-...

1- Write the unsimplified POS Boolean equation for F from the Truth Table. F = 2- Write the unsimplified SOP Boolean equation for F' from the Truth Table. F' = 3- Using only DeMorgan’s Theorem (show steps) and the unsimplified POS Boolean equation, find. maxterms minterms 0 1 0 1 0 1 10 101
Convert the following Boolean equation to canonical sum-of-minterms form: F(a,b,c) = b'c' Convert the following Boolean...

Convert the following Boolean equation to canonical sum-of-minterms form: F(a,b,c) = b'c' Convert the following Boolean equation to canonical sum-of-minterms form: F(a,b,c) = abc' + a'c

Q3) (10 points] Tabulate the truth table of an 8x4 ROM that implements the following functions:...

Q3) (10 points] Tabulate the truth table of an 8x4 ROM that implements the following functions: F. (A,B,C) = A'B + AC F1 (A,B,C) = A'B'C' +C F2 (A,B,C) = A'B' + AB F3 (A,B,C) = AB + AC + BC F1 F2 F3 Address Fo ABC 000 001 010 011 100 101 110 111
4. Express the Boolean functions F as both a sum-of-minterms and a product-of-maxterms 1 0 0...

4. Express the Boolean functions F as both a sum-of-minterms and a product-of-maxterms 1 0 0 0 Express the following function as a sum-of-minterms F(a, y,z) (zy)' +zy+ Convert the function from the above question into a prodtuct-of macterms Use the K-map to simplify the three variable Boolean functions F(u,x, y, z) = Σ (0, 2, 3, 4, 5, 8, 12, 15) 00 01 11 10 00 10 11 01 1 1 0 0 11 1 0 0 0 10...
13. Consider the following Truth Table, Boolean Equation, and K-map. Would you change anything? 5 pts...

13. Consider the following Truth Table, Boolean Equation, and K-map. Would you change anything? 5 pts AB 11 10 0 ABCABC ABC ABC 1ABC ABC ABC ABc 00 01 Truth Table K-Map A B CY AB 01 10 10 1 0 0 00 01 11 10 0 0 10 0 1 01 0 1 11 1 0 0 0 1 0 10 Y = AB + BC

0 0 0 0 (a) Write the Boolean equation for the output X of the truth...

0 0 0 0 (a) Write the Boolean equation for the output X of the truth table above (b) By using K-map, determine the expression of X in the form of product-of-sum and sum of-product. (c) Draw the logic circuits representing the expression of X in the form of product-of-sum and sum-of-product. Determine which configuration gives the lowest cost solution.