Given the following function in sum-of-products form (not necessarily minimized):

F(A,B,C,D) = A(C + B) + ADC

a) Re-express the function as a truth-table

Next, re-express the function in:

b) Canonical sum-of-products form

c) Canonical product-of-sums form.

d) Write the complement of the function in canonical sum-of-products from

e) Write the complement of the function in canonical product-of-sums from

f) Draw the canonic SOP function from part (a) in its AND/OR form. Then, using the alternate set of gate symbols given in class, transform the AND/OR network into a NAND/NAND network and redraw the circuit. Finally, redraw the NAND/NAND network using conventional NAND gates.

g) Re-do part (f) above, but this time use only NOR gates

h) Draw the canonic POS function in part (b) in its OR/AND form. Then, using the alternate set of gate symbols given in class, transform the OR/AND network into a NAND/NAND network and redraw the circuit. Finally, redraw the NAND/NAND network using conventional NAND gates

i) Re-do part (h) above, but this time use only NOR gates.

DO THE DRAWINGS ON THESE GRIDS:

for f) and h)

for g) and i)

Input Variables LEVEL 1 LEVEL 2 Original AND/OR network New NAND/NAND network (based on De Morgan's Symbols) Redrawn in terms of conventional NAND gates Input Variables LEVEL 1 LEVEL 2 Original AND/OR network New NOR/NOR network (based on DeMorgan's Symbols) Redrawn in terms of conventional NOR gates