Construct a 16-bit serial-parallel counter, using four 4-bit parallel counters. Suppose that all added logic is AND gates and that serial connections are employed between the four counters. What is the maximum number of AND gates in a chain that a signal must propagate through in the 16-bit counter?

Show how to connect a 74HC93 4-bit asynchronous counter for each of the following moduli:(a) 9 (b) 11 (c) 13 (d) 14 (e) 15

. Given the function:  F(a, b, c) = (a + b)’c + a b c’ + a c a) Create the truth table for function F. 7b) Implement F by means of an 8-to-1 Multiplexer using block diagrams. Implement F by means of a 3-to-8 Decoder using block diagrams and any gates if needed.

Construct a 16-bit serial-parallel counter, using four 4-bit parallel counters. Suppose that all added logic is AND gates and that serial connections are employed between the four counters. What is the maximum number of AND gates in a chain that a signal must propagate through in the 16-bit counter

3. Design using copies of counter C and gates as needed to construct a counter with count sequence 24, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24.

Implement a full adder using a 3-to-8 line decoder along with (a) two OR gates. (b) two NOR gates.

Consider a serial-in-parallel-out, right shift register circuit with initial content of "01010" as shown in the figure. This circuit is operated with a positive edge triggered clock signal as given in figure. If +5 V and 0 V are used to represent logic-1 and logic-0 respectively, then at which of the following instances, the LED will be in ON state? Positive edge triggered clock 5 V Clock t=0 10 ns 10 ns

You are asked to design a circuit to detect if an overflow occurs when subtracting two integers represented in two's complement: Z= X - Y. Let Sz, Sx, and Sy be the sign bit for Z, X, and Y respectively, and they are fed as input to the circuit. Let O be the output bit of the circuit, whose value is 1 if an overflow happens, and 0 if otherwise. a) Build the truth table for O as a Boolean function of Sx, Sy, and Sz. b) Write the canonical expression (sum-of-product) for the Boolean function defined in the part a. c) Implement the Boolean expression defined in part b with a circuit by using AND, OR, and NOT gates. Draw the wiring diagram.

Consider a 5-bit right shift register each shifting data to the right for every clock pulse. The serial input A is derived by using NAND gates as shown in figure. If the initial content of the counter is 10001 at QOQ1Q2Q3Q4 by applying the clock signal then after how many clock pulse circuit is back to the initial state? Qo Q Q2 Q Q4 Register

The following circuit shows the carry-lookahead adder design. Assuming the delay for each gate is 2.2 ns, and there is no fan-in issue (meaning a gate can take as many inputs as possible). Consider a n-bit carry-lookahead adder, what is the duration (in ns) you have to wait until the correct C is generated? Carry-Lookahead Adder Ci+1=g; +pi ci = 8; + Pi (8-1 + Pi-1 C1.1) g+Pi8-1 + PiPi-11-1 = 81+Pi81-1+ Pi Pi-181-2+...+P1 Poco g₁ = xi yi Pi = x; + yi 2.2*(3+7*2) 2.2*3 2.2*8*n 2.2 n "