Problems 2.14 & 2.15

a. Betermine the canonical SOP expression for output bit y2. b. Write the min-terms for y2. c. Use K-map and find a minimal SOP expression for y2. d. Draw a minimal NAND circuit for y2. e. Compare the number of transistors required to implement the canonical and the minimal SOP expressions. Repeat Problem 2.10 but this time use POS expressions for y2. Repeat Problem 2.10 b through d but this time use 3-bit 2's complement values for X and 2.11 2.12 output y4. 2.13 Repeat Problem 2.12 b through d but this time use POS expressions for y4. 2.14 Find a minimal SOP expression for each of the following functions using K-maps: a. f(w, x, y, z) = (0, 2, 8, 10) + d(12, 14) b. gla, b, c, d)-(5,7, 13, 15) +(6, 14) c. h(w,x, y,z) II(0,2, 8, 10)+ II,(12, 14) d. t(a, b, c, d) = (5, 7, 13, 15) + 16, 14) Find minimal POS expressions for each of the functions given in Problem 2.14. bns 2.15 Use Espresso software to generate the minimal SOP expressions for all the output bits o function Y 2x + 3 where X is a 4-bit unsigned value less than 10, The X values l0 to 15 are ignored and are treated as don't cares. pan AA t Everece 2 16 but use 4-bit 2's complement values for-5 2.16 X 5 and don't care fo 7 a. Betermine the canonical SOP expression for output bit y2. b. Write the min-terms for y2. c. Use K-map and find a minimal SOP expression for y2. d. Draw a minimal NAND circuit for y2. e. Compare the number of transistors required to implement the canonical and the minimal SOP expressions. Repeat Problem 2.10 but this time use POS expressions for y2. Repeat Problem 2.10 b through d but this time use 3-bit 2's complement values for X and 2.11 2.12 output y4. 2.13 Repeat Problem 2.12 b through d but this time use POS expressions for y4. 2.14 Find a minimal SOP expression for each of the following functions using K-maps: a. f(w, x, y, z) = (0, 2, 8, 10) + d(12, 14) b. gla, b, c, d)-(5,7, 13, 15) +(6, 14) c. h(w,x, y,z) II(0,2, 8, 10)+ II,(12, 14) d. t(a, b, c, d) = (5, 7, 13, 15) + 16, 14) Find minimal POS expressions for each of the functions given in Problem 2.14. bns 2.15 Use Espresso software to generate the minimal SOP expressions for all the output bits o function Y 2x + 3 where X is a 4-bit unsigned value less than 10, The X values l0 to 15 are ignored and are treated as don't cares. pan AA t Everece 2 16 but use 4-bit 2's complement values for-5 2.16 X 5 and don't care fo 7