Eroblem 4 (10 points) Consider the 74193 4.bit synchronous up/down counter. The relevant information from the data sheet is given next. Read the given information carefully. VCC and GNO are propetly connected. Anwer the following questions. Note that parts \( (a)-(e) \) have 1 point each, and part (f) has 5 points. (a) What is the most significant bit of the output: Qu or Q.? How did you know? (b) If pin 11 is connected to ground, pin 14 to \( \mathrm{Vcc}, A, B, C, D=1,1,0,0 \) respectlvely, What will be the values of \( Q_{2}, Q_{c}, Q_{c}, Q_{n} \) ? Explain. (c) If pins 11 and 14 are connected to ground, \( A, B, C, D=1,1,0,0 \) respectively. What will be the values of \( \mathrm{Q}_{5}, \mathrm{Q}_{5}, \mathrm{Q}_{5}, \mathrm{O}_{5} \) ? Explain. (d) Does the counter count at the positive edge or negative edge of the count polse? How did you know? (e) We want to let the counter to count down. What do vou connect to esch of the following pins: 4 , 5, 11, 14. Explain. (f) We need to construct a counter that continuously counts from 3 to 11 inclusive. In other words, it counts \( 3,4,5,6,7,-, 11 \), and repeats. Construct this counter using a 74193 chip and one 2. input NAND gate (one fourth of 7400 ). Show how you will do this. Explain Qustify) your answer. Note: in your schematic (wiring) diagram, ingut source labels must be clearly stated at each pin.
Problem 4 (10 points) Consider the 74193 4-bit synchronous up/down counter. The relevant information from the data sheet is given next, Read the given information carefully. VCC and GND are properly connected. Answer the following questions. Note that parts (a) - (e) have 1 point each, and part (f) has 5 points. (a) What is the most significant bit of the output: \( Q_{\text {a }} \) or \( Q_{0} \) ? How did you know? (b) If pin 11 is connected to ground, pin 14 to \( V c c, A, B, C, D=1,1,0,0 \) respectively. What will be the values of \( Q_{i}, Q_{i}, Q_{0}, Q_{0} \) ? Explain. (c) If pins 11 and 14 are connected to ground, \( A, B, C, D=1,1,0,0 \) respectively. What will be the values of \( Q_{4}, Q_{11}, Q_{2}, Q_{0} \) ? Explain. (d) Does the counter count at the positive edge or negative edge of the count pulse? How did you know? (e) We want to let the counter to count down. What do you connect to each of the following pins: 4 , 5, 11, 14. Explain. (f) We need to construct a counter that continuously counts from 3 to 11 inclusive. In other words, it counts \( 3,4,5,6,7, \ldots, 11 \), and repeats. Construct this counter using a 74193 chip and one 2input NAND gate (one fourth of 7400 ). Show how you will do this. Explain (justify) your answer.