2. A 4-bit binary number is applied to a circuit on four lines D, C, B, and A. The circuit has a single output, F, which is true if the number is in the range three to twelve, inclusive. Draw a truth table for this problem, and obtain a simplified expression for F in terms of the inputs. 1. Design the circuit of the second problem of the In-Class Lab with NAND gates only. Note: Please submit the whole simplification/implementation of Algebraic Expression step by step, not just the final line/expression. Also mention the axiom/theorem that you used to simplify for any specific step