(a) Briefly explain the importance of binary number system in digital electronics. [4 marks] (b) Convert the decimal numbers into binary numbers: [4 marks] [4 marks] (1) 3110 (ii) 3610 (c) Subtract 3110 from 36, using 8-bit 2's complement form addition and state the answer in hexadecimal. (d) [4 marks] Briefly explain the difference between 1's complement and 2's complement in negative numbers representation. [4 marks] Question 2 (20 marks) Fig. 1 shows a logic gate. Two signals are being injected into the inputs A and B as below: A 1 B 1 Fig. 1 D X-A (a) State the name of this logic gate. [2 marks] (b) Construct the Truth Table for this circuit. [3 marks] (c) Draw the output waveform of this logic gate according to the signals injected into A and B as shown in Fig. 1. [5 marks] (d) The internal circuit of this logic gate can be constructed using only 2-input NAND gates due to the universality. (0) Expand the logic function shown in Fig. 1. [4 marks] (ii) Construct the internal circuit of this logic gate using only 2-input NAND gates. [4 marks] (iii) State the number of 2-input NAND gates used. [2 marks] ...3/-