Design a logic circuit (simplify your circuit) that opens a lock (f = 1) whenever the user presses the correct number on each numpad (numpad 1: 9, numpad 2: 4). The numpad encodes each decimal number using BCD encoding (see figure). We expect that the 4-bit groups generated by each numpad be in the range from 0000 to 1001. Note that the values from 1010 to 1111 are assumed not to occur. Suggestion: Create two circuits: one that verifies the first number (9), and another that verifies the second number (4). Then perform the AND operation on the two outputs. This avoids creating a truth table with 8 inputs. BCD code Number X Y Z W pressed 1 2 3 OOOO 0 0 0 1 0 0 1 0 0 0 1 1 0100 0 1 0 1 0110 0 1 1 1 1 000 1 0 0 1 OWN 5 6 7 8 9 0 Numpad 1 1 4 | 7 2 5 8 3 6 9 0 Numpad 2