Question

Problem: Show the equation below with "Gate-Array Logic Circuit"; Equation => x² + 3 x y − 14 =output Explanations: Design a Gate-Array Logic Circuit Inputs X, Y 4-bit numbers and output is 8-bit number. Use AND, OR, XOR, NOT gates. Use Full-Adder circuit.​

Answer 1

Explanation:

A gate-array logic circuit for the equation x² + 3xy - 14 = output could be designed as follows:

First, we need to calculate x² and 3xy. This can be done using AND, OR, XOR, and NOT gates.

Next, we need to add the two values obtained in step 1 using a full-adder circuit.

Finally, we need to subtract 14 from the sum obtained in step 2. This can be done using a subtractor circuit, which is essentially a full-adder circuit with an additional input for the subtrahend (in this case, 14).

Here is a schematic of the gate-array logic circuit:

_______________

| |

X--| AND/OR/XOR/NOT |---x²

Y--| AND/OR/XOR/NOT |---3xy

|_______________|

|

______

| |

x²--| Full |---(x² + 3xy)

3xy--| Adder|

|______|

|

______

| |

(x² + 3xy)--| Sub |---output

14--| tract|

|______|

Note that this is just one possible way to design the circuit, and there may be other ways to achieve the same result.