Preparation A logic function is given by the following truth table A B C 0 0 0 0 11 0 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 1 1 0 0 0 1 9 1 0 0 1 10 1 0 1 0 1 1 0 1 12 1 1 0 0 0 13 1 1 0 1 0 14 1 1 1 0 1 15 1 1 1 1 0 Table 5.2.1: Truth table of Part Il logic function vouN- 1. Derive the canonical sum-of-products (SOP) expression of the function YA, B, C, D) from Table 5.2.1. 2. Use the Karnaugh map method (Figure 5.2.1) find the simplest canonical SOP expression of the function Y(A, B, C, D). CD 00 01 11 10 15 Figure 5.2.1: Karnaugh map template 3. Draw the logic diagram of the SOP minimised circuit 4. Use De Morgan's theorems to express the simplest SOP in terms of NAND operators. 5. Use the Karnaugh map method to find the simplest product-of-sums (POS) expression of the function Y(A, B, C, D). Draw the logic diagram of the circuit that implements the POS minimized expression. Analyse the circuit that implements the POS minimized expression and determine its truth table