You are tasked with designing a synchronous counter for a digital clock application. The clock should display

hours, minutes, and seconds. The clock should count in a $24-$hour format, and each time the seconds reach

$59,$ it should increment the minutes. Similarly, when the minutes reach $59,$ it should increment the hours.

The clock should reset to $00$:$00$:$00$ after reaching $23$:$59$:$59.$

Design a synchronous counter using D flip$-$flops to implement this digital clock. The clock pulses at a

frequency of $1$ Hz$.$ Your task is to create a circuit that counts seconds, minutes, and hours, displaying them

on three separate seven$-$segment displays.

Use D flip$-$flops to create a $3-$bit binary counter for seconds $(0-59).$

Implement logic to increment the minute counter when the seconds reach $59.$

Design a $6-$bit binary counter for minutes $(0-59)$ using D flip$-$flops.

Implement logic to increment the hour counter when the minutes reach $59.$

Design a $5-$bit binary counter for hours $(0-23)$ using D flip$-$flops.

Implement logic to reset the seconds, minutes, and hours counters when the clock reaches $23$:$59$:$59.$

Interface each counter with a BCD$-$to$-$Seven$-$Segment Decoder to display the values on three seven$-$

segment displays.

Consider the synchronicity of the counters, ensuring that the clock values update simultaneously and

correctly. The design should be able to handle continuous counting without errors, and the seven$-$segment

displays should show the time in a human$-$readable format.

Present your circuit diagram and explain the logic behind each component's functionality. Discuss how the

synchronous counter ensures proper timing and the simultaneous update of the clock components.