Introduction:
In digital electronics, logic operations are fundamental operations performed on binary inputs to produce binary outputs. These operations are essential for designing and implementing digital circuits. There are several logic operations, including AND, OR, NOT, NAND, and NOR. However, it is possible to obtain all logic operations using only NAND and NOR operations.

Explanation:

1. NAND Operation:
NAND operation is a combination of AND and NOT operations. It produces a logic 0 output only when all of its inputs are logic 1. Otherwise, it produces a logic 1 output. The truth table for the NAND operation is as follows:

| A | B | NAND |
|---|---|------|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |

2. NOR Operation:
NOR operation is a combination of OR and NOT operations. It produces a logic 1 output only when all of its inputs are logic 0. Otherwise, it produces a logic 0 output. The truth table for the NOR operation is as follows:

| A | B | NOR |
|---|---|-----|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |

3. Obtaining other logic operations:
Using only NAND or NOR gates, we can obtain other logic operations as follows:

- AND Operation using NAND: Connect the inputs of two NAND gates in series, and then connect their outputs to a third NAND gate. The output of this third NAND gate will be the AND operation of the inputs.

- OR Operation using NAND: Connect the inputs of two NAND gates to a third NAND gate. The output of this third NAND gate will be the OR operation of the inputs.

- NOT Operation using NAND: Connect both inputs of a NAND gate together. The output of this NAND gate will be the NOT operation of the input.

- OR Operation using NOR: Connect the inputs of two NOR gates in series, and then connect their outputs to a third NOR gate. The output of this third NOR gate will be the OR operation of the inputs.

- AND Operation using NOR: Connect the inputs of two NOR gates to a third NOR gate. The output of this third NOR gate will be the AND operation of the inputs.

- NOT Operation using NOR: Connect both inputs of a NOR gate together. The output of this NOR gate will be the NOT operation of the input.

Using these combinations, we can obtain all logic operations required for digital circuit design. Therefore, the correct answer is option 'D', which states that all logic operations can be obtained using NAND and NOR operations.