Two logic functions are given in the K-MAPs below.         Answer Questions 11-13 regarding these two functions.

  Implement the function G by a 4:1 MUX by using C and D as the control select inputs (do not consider the function F) by completing the table below, where the usage of additional gates for the MUX inputs should be minimized. Input port 0 Input port 1 Input port 2 Input port 3  

The decimal value of S =

   F(X,Y,Z) = (X+Z)(X’+Z’)(X’+Y+Z)                 = (X+Z)(X’+Z’)(X’+Y) A. Idempotent & DeMorgan’s Law B. Consensus  C. Simplifications  D. None of the above

Consider the state transition and excitation table below for a 2-bit counter: Q1 Q0 Q1+ Q0+ T1 J0 K0 0 0 1 1 0 1 0 0 1 0 x x x x x 1 1 0 1 Answer Questions 14-17 below.

Without state reduction, how many D flip-flops are need to implement the FSM by using one-hot state encoding and binary state encoding, respectively?   # flip flops needed (in decimal) one-hot state encoding binary state encoding

Determine the minimized product-of-sum (POS) expression for the function F without consideration of G (choose one if there are equivalent expressions): F(A,B,C,D) =

Determine the values of T1 , J0, k0 , Q1+ and Q0+  for the current state Q1Q0 = 10.  Q1 Q0 Q1+ Q0+ T1 J0 K0 1 0

List the bit strings that this detector detects (leave no space between bits, and list the strings from small to large according to their binary number values): string 1 string 2 string 3 string 4

In chemistry it is often necessary to type chemical formulas and equations that use different formatting.  You must type the following chemical formula and equation as shown (with proper use of subscripts and superscripts). It is important to write equations properly and symbols like ^ or _ instead of proper scripts are often not-acceptable. The “Text Editor” above the writing box will allow you to enter proper scripts. Enter that you understand.