Question

What is the circuit schematic that compares the magnitude of two binary numbers, known as a magnitude comparator, that each has two bits? The circuit has two outputs. Use only AND, OR, and NOT gates?

Answer 1

A magnitude comparator is a digital circuit that compares the magnitude of two binary numbers. In this case, the binary numbers each have two bits, and the circuit has two outputs. The circuit can be implemented using only AND, OR, and NOT gates.

Step-by-step explanation:

A magnitude comparator is a digital circuit that compares the magnitude of two binary numbers. In this case, the binary numbers each have two bits, which means they can have four possible combinations: 00, 01, 10, and 11. The circuit compares the binary numbers and has two outputs that indicate the result of the comparison.

To create a magnitude comparator using only AND, OR, and NOT gates, you can use a combination of these gates to implement the logic for comparing the binary numbers. Here is a basic circuit schematic for a two-bit magnitude comparator:

Connect the bits of the first binary number to the inputs A0 and A1.

Connect the bits of the second binary number to the inputs B0 and B1.

Use the AND gates to compare the corresponding bits of the two binary numbers. For example, compare A0 with B0 using an AND gate, and compare A1 with B1 using another AND gate.

Use the OR gate to combine the outputs of the AND gates. This will give you a single output that reflects whether the first number is greater than, equal to, or less than the second number.

Use another AND gate and a NOT gate to create a second output that indicates whether the first number is strictly greater than the second number.