Question 4 Please give the actual function Ie Fw Great X x T

Great X x Take Test: ECE201 Test Chate x x edu/webapps/assessment/takellaunch.jsp?course assessment id 92578 1&course; ida mou mind find it advantageous to draw the circuit out and perform the conversion graphically) QUESTION 4 G-3.29b Convert the following expression so that it contains only NAND gates. F Use only parentheses in your answer. e, do not use brackets or braces. mou mind find it advantageous to draw the circuit out and perform the conversion graphically.) QUESTION 5 Write down in short-hand standard (canonical form the function implemented by the decoder shown bel Decoder x 1 O y so 2 Write sigma as s and pi as P. Your answer should resemble one of the following with no spaces between cha eg. s(1.3.) or P(1,3,.) QUESTION 6 AssignmentaF 16 (1) pdf

Solution

QUES NO 4

Solution:

F = ((w\'+x)y+u\'+v)y(w+z)                   //Open the brackets and convert the equation into sum of products form(SOP)

F = (w\'y+xy+u\'+v)y(w+z)

F = (w\'y+xy+u\'y+vy)(w+z)                      // Since we know y.y=y & w.w\' = 0

F = wxy+u\'wy+vwy+w\'yz+xyz+u\'yz+vyz       // Apply Demorgan\'s Theorem( (x+y)\' = x\'y\' & (xy)\' = x\'+y\' ) and convert this equation in product of sum (POS) form

F = ((wxy+u\'wy+vwy+w\'yz+xyz+u\'yz+vyz)\')\'

F = ((wxy)\'(u\'wy)\'(vwy)\'(w\'yz)\'(xyz)\'(u\'yz)\'(vyz)\')\'   // This equation can be implemented using 7 three-input NAND Gates and 1 seven-input NAND gate and two any-input gate with common input into all input terminals so that they can be used as inverters.