Hi Everyone, would like to ask help in answering the given problem. I'm having hard time figuring out the answer. Appreciate any reply to this thread. TIA
Here's the given:
Design a circuit which will yield the product of two binary numbers n and m, where 00
n
11 and 000
m
101. For example, if n = 10 and m = 001, then the product is n x m = 10 x 001 = 0010.
Let the variables A and B represent the first and second digits of n ,respectively (i.e., in the above example A = 1 and B = 0). Let the variables C, D, and E represent the first, second, and third digits of m, respectively (in the above example C = 0, D = 0, and E = 1). Also let the variables W, X, Y, and Z represent the first, second, third, and fourth digits of the product. (In the above example W = 0, X = 0, Y = 1, and Z = 0.) Assume that m > 101 never occurs as a network input.
Design the network using only 2- and 3-input NOR gates and inverters. Try to minimize the total number of gates and inverters required. The variables A, B, C, D, and E will be available from toggle switches. Any solution that uses 16 or fewer gates and inverters (not counting the 5 inverters for the inputs) is acceptable.
here the original given scanned file from the book: http://i155.photobucket.com/albums/s318/jdimpas/logic1.jpg
Here's the given:
Design a circuit which will yield the product of two binary numbers n and m, where 00
Let the variables A and B represent the first and second digits of n ,respectively (i.e., in the above example A = 1 and B = 0). Let the variables C, D, and E represent the first, second, and third digits of m, respectively (in the above example C = 0, D = 0, and E = 1). Also let the variables W, X, Y, and Z represent the first, second, third, and fourth digits of the product. (In the above example W = 0, X = 0, Y = 1, and Z = 0.) Assume that m > 101 never occurs as a network input.
Design the network using only 2- and 3-input NOR gates and inverters. Try to minimize the total number of gates and inverters required. The variables A, B, C, D, and E will be available from toggle switches. Any solution that uses 16 or fewer gates and inverters (not counting the 5 inverters for the inputs) is acceptable.
here the original given scanned file from the book: http://i155.photobucket.com/albums/s318/jdimpas/logic1.jpg