Question 9.8: Implement the decoding of binary state 2 and binary state 7 ...

Digital Fundamentals

Implement the decoding of binary state 2 and binary state 7 of a 3-bit synchronous counter. Show the entire counter timing diagram and the output waveforms of the decoding gates. Binary $2 = \overline{Q}_{2} \overline{Q}_{1} \overline{Q}_{0}$ and binary $7 = Q_{2}Q_{1}Q_{0}$ .

The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

Related Answered Questions

Question: 9.5

Develop a synchronous 3-bit up/down counter with a Gray code sequence using J-K flip-flops. The counter should count up when an UP/DOWN control input is 1 and count down when the control input is 0. ...

Verified Answer:

Step 1: The state diagram is shown in Figure 9–33....

Question: 9.4

Design a counter with the irregular binary count sequence shown in the state diagram of Figure 9–30. Use D flip-flops. ...

Verified Answer:

Step 1: The state diagram is as shown. Although th...

Question: 9.3

Show the timing diagram and determine the sequence of a 4-bit synchronous binary up/down counter if the clock and UP/DOWN control inputs have waveforms as shown in Figure 9–23(a). The counter starts in the all-0s state and is positive edge-triggered. ...

Verified Answer:

The timing diagram showing the Q outputs is shown ...

Question: 9.9

Frequency measurements are made on the truncated counter in Figure 9–58 as indicated. Determine if the counter is working properly, and if not, isolate the fault. ...

Verified Answer:

Check to see if the frequency measured at TC 4 is ...

Question: 9.6

Determine the overall modulus of the two cascaded counter configurations in Figure 9–39. ...

Verified Answer:

In Figure 9–39(a), the overall modulus for the 3-c...

Question: 9.2

Show how an asynchronous counter with J-K flip-flops can be implemented having a modulus of twelve with a straight binary sequence from 0000 through 1011. ...

Verified Answer:

Since three flip-flops can produce a maximum of ei...

Question: 9.1

A 4-bit asynchronous binary counter is shown in Figure 9–8(a). Each D flip-flop is negative edge-triggered and has a propagation delay for 10 nanoseconds (ns). Develop a timing diagram showing the Q output of each flip-flop, and determine the total propagation delay time from the triggering edge of ...

Verified Answer:

The timing diagram with delays omitted is as shown...

Question: 9.10

Suppose that you observe the output waveforms (green) that are indicated for the counter in Figure 9–59. Determine if there is a problem with the counter. ...

Verified Answer:

The

Q_{2}

waveform is incorrect. Th...

Question: 9.7

Use 74HC190 up/down decade counters connected in the UP mode to obtain a 10 kHz waveform from a 1 MHz clock. Show the logic diagram. ...

Verified Answer:

To obtain 10 kHz from a 1 MHz clock requires a div...