A Gray code is a sequence of binary numbers with the property that no more than 1 bit changes in going from one element of the sequence to another. For example, here is a 3-bit binary Gray code: 000, 001, 011, 010, 110, 111, 101, and 100. Using three D flip-flops and a PLA, construct a 3-bit Gray code counter that has two inputs: reset, which sets the counter to 000, and inc, which makes the counter go to the next value in the sequence. Note that the code is cyclic, so that the value after 100 in the sequence is 000.

A digital counter is a device that generates binary numbers in a specified count sequence. The counter progresses through the specified sequence of numbers when triggered by an incoming clock waveform, and it advances from one number to the next only during the occurrence of a clock pulse. The counter cycles through the same sequence of numbers continuously so long as there is an incoming clock pulse. You are to build a 3-bit synci. us count-down counter, which is a counter that counts down goes throug.. Linnni states 111 to 000 and back to 111 to repeat the cou. are to use a positive-edge-tgered JK flip-flops. In the first step of the design, you ecu .- Flop inputs (1 column for each flip-flop input) The present state pur uv.. design and should enumerate the count sequence. The next state columns should specif wnicn slale wn cuo next, given the present state. For example, if circuit is in a present state of the nevt ate in a down-count sequence would be 0. You should design the FF…

Construct a truth table in standard binary form for a function of four variables,F(W,X,Y,Z) = ABC,where ABC is the signed 3-bit sum of the signed 2-bit numbers WX and YZ.

degital design