I am required implement a simple simulation of a gearbox in a car. The gearbox has 2 inputs. Input 1 (G) represeting the current gear (0-7). Input 2 (S) representing the gear that the driver wants to change/shift to (0-7).

The gear change is successful if S = G, or if S = G 1, or if S = G + 1. Any other value for S outside of this range will result in an unsuccessful gear change.

Example : The gear (G) is 2 and the gear we want to change to (S) is 3. In this case the requirement S = G + 1 is met and the gear change is successful.

Example : The gear (G) is 2 and the gear we want to change to (S) is 4. In this case S is outside the allowed range and the gear change is unsuccessful.

Example : The gear (G) is 0 and the gear we want to change to (S) is 0. In this case the requirement S = G is met and the gear change is successful.

The current Gear (G) will be shown by three inputs (3 bits). The three G inputs are named as G1, G2, and G3. The table below shows the assignment of bits to each G value for G1, G2, and G3.

Are implement a circuit where the user (you) can input a value for the current Gear (G) using value (G1, G2, and G3) and a gear to change to (S) using value (S1, S2, and S3) and the circuit decodes the G1, G2, G3 and S1, S2, S3 values using a decoder made up of only the permitted logic gates to determine if S = G, or if S = G 1, or if S = G + 1. The output will be a single LED labelled Successful which is lit if S = G, or if S = G 1, or if S = G + 1 and is not lit for any other values of S and G.

PLEASE MAKE SURE THE LOGIC CIRCIUT IS DONE THROUGH LOGISIM

01010101 00110011 00001111 01234567 01010101 00110011 00001111 01234567 01010101 00110011 00001111 01234567 01010101 00110011 00001111 01234567