The correct answer is (B) One 4-input AND gate, one inverter.

Here's the step-by-step explanation:

1. The binary number 1101 has four digits. The first, second, and fourth digits are 1, and the third digit is 0.

2. An AND gate outputs 1 only if all its inputs are 1. So, a 4-input AND gate can output 1 if all four inputs are 1. However, in the binary number 1101, the third digit is 0, not 1. Therefore, a single 4-input AND gate cannot decode this binary number.

3. An inverter, also known as a NOT gate, outputs the opposite of its input. So, if the input is 0, the output is 1, and vice versa.

4. If we use an inverter on the third digit of the binary number 1101, the 0 becomes a 1. Now, the binary number is 1111.

5. With this new binary number, a 4-input AND gate can output 1, because all its inputs are 1.

6. Therefore, the combination of one 4-input AND gate and one inverter can decode the binary number 1101.

Question

The correct answer is (B) One 4-input AND gate, one inverter.

Here's the step-by-step explanation:

1. The binary number 1101 has four digits. The first, second, and fourth digits are 1, and the third digit is 0.

2. An AND gate outputs 1 only if all its inputs are 1. So, a 4-input AND gate can output 1 if all four inputs are 1. However, in the binary number 1101, the third digit is 0, not 1. Therefore, a single 4-input AND gate cannot decode this binary number.

3. An inverter, also known as a NOT gate, outputs the opposite of its input. So, if the input is 0, the output is 1, and vice versa.

4. If we use an inverter on the third digit of the binary number 1101, the 0 becomes a 1. Now, the binary number is 1111.

5. With this new binary number, a 4-input AND gate can output 1, because all its inputs are 1.

6. Therefore, the combination of one 4-input AND gate and one inverter can decode the binary number 1101.

Knowee AI · Accepted Answer

The correct answer is (B) One 4-input AND gate, one inverter.

Here's the step-by-step explanation:

1. The binary number 1101 has four digits. The first, second, and fourth digits are 1, and the third digit is 0.

2. An AND gate outputs 1 only if all its inputs are 1. So, a 4-input AND gate can output 1 if all four inputs are 1. However, in the binary number 1101, the third digit is 0, not 1. Therefore, a single 4-input AND gate cannot decode this binary number.

3. An inverter, also known as a NOT gate, outputs the opposite of its input. So, if the input is 0, the output is 1, and vice versa.

4. If we use an inverter on the third digit of the binary number 1101, the 0 becomes a 1. Now, the binary number is 1111.

5. With this new binary number, a 4-input AND gate can output 1, because all its inputs are 1.

6. Therefore, the combination of one 4-input AND gate and one inverter can decode the binary number 1101.

Which of the following combinations of logic gates can decode binary 1101? (A) One 4-input AND gate(B) One 4-input AND gate, one inverter(C) One 4-input AND gate, one OR gate(D) One 4-input NAND gate, one inverter

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