Given the input for a negative level clocked D Flip-flop, draw the output timing diagram and answer the following questions. Assume that initially, the value of output is 0 (zero). Write: A - if the output is a high logic level B - if the output is a low logic level C - if there is an indeterminate output CLK A 3 с D- if the output transitions from 0 to 1 E - if the output transitions from 1 to 0 1. What is the value of the output at point A? 2. What is the value of the output at point B? 3. What is the value of the output at point C? 4. What is the value of the output at point D? 5. What is the value of the output at point E? 6. What is the value of the output at point F? D n E F

For the following logic circuit: A B F C 1- Write the logic expression for the output 2- 3- Write the truth table implement the above circuit (using Nand gates only)

Table 3 INPUTS OUTPUTS Y F A3. Connect the circuit shown in Fig. 4.2. Apply the inputs X and Y in Table 2 with data switches. Monitor the output with the probe and record the output for each set of inputs in the F column of Table 2. 1 1 1 1 A6. Construct the expression obtained in A4 by using only NAND gates. Draw and implement the NAND gates connection diagram of the function. Record the output for each set of inputs in the F column of Table 4. (Note that A+B = (A'.B') F F= Fig. 4.2 Table 2 INPUTS OUTPUT Y F Table 4 1 INPUTS OUTPUTS 1 F 1 1 1 A4. Express the function in Fig. 4.2 as a sum of minterms (sum-of-products) using Table 2. 1 1 F= Questions (True or False): # Question 1 All the logic functions can be implemented with only NAND Gates. (T/F) 2 A5. Draw the logic circuit of the expression obtained in A4 by using NOT, OR, AND gates. B Implement the logical circuit to monitor the output with a probe and record the output for each set of inputs in the F column of Table 3.

1. Identify each of these logic gates by name, and complete their respective truth tables Output Output Output B AB Output AB Output AB Output 10 A Output Output A Output AB Output A Output A Output Output Output Output 13 13 AB Outpt ABOutput AB Output 10

11. Find the output function of the following logic circuits: A A C В C A C A В TT

2. Design a logic circuit with two inputs and 4 outputs, with each of the outputs hooked up to an LED. Only the first LED should light up when the input values are 00. Only the next LED should light up with the input values are 01. Only the following LED should light up for 10, and only the last LED should light up for input 11. Thus for each input combination, you should have one LED only being lit. This is called a DECODER circuit, you are decoding 2 bit binary input to one of 4 discrete outputs. a. Create the truth table (use the standard truth table format). b. Write a Boolean expression that corresponds to the truth table.

Design a modulo-6 counter, which counts in the sequence 0, 1, 2, 3, 4, 5, 0, 1, .... The counter counts the clock pulses if its enable input, w, is equal to 1. Use D flip-flops in your circuit. Repeat Problem 6.23 using JK flip-flops. Repeat Problem 6.23 using T flip-flops.

1. Write the Boolean expression for output x in the following figure. Determine the value of x for all possible input conditions and list the values in a truth table. 2. Rewrite the output expression for the new circuit using only NAND gates. 3. Draw the circuit using only NAND gates. A B с D D

the statement that best describes the operation of D flip-flop if the clock is a negative-edge-triggered is: a. The logic level at the D input is transferred to Q on negative edge of the Clock b. The Q output is always the same as the clock input if the D input equals 1 c. The Q output is always the same as the D input at the positive edge of the clock. d. The Q output is always the same as the D input

Exercise 2: Determine the output F1 (X, Y, Z) and F2 (X, Y, Z) of the below circuit: 4 x 1 MUX 1- F1(X, Y, Z) Half Y Adder F2(X, Y, Z) 1 4 x 1 1 MUX