## Negative Decimal to Binary Converter

Binary Representation:

## FAQs

To convert negative decimals to binary, particularly using two's complement representation, follow these steps:

- Convert the absolute value of the negative decimal number to its binary representation.
- Pad the binary number with leading zeros to make it the desired bit length if necessary.
- Invert (flip) all the bits (change 0s to 1s and 1s to 0s) in the binary representation obtained in step 1.
- Add 1 to the inverted binary number.

Here are some examples:

**Example 1:** Convert -7 to binary using 8 bits (two's complement):

- Absolute value of -7 is 7, which is 111 in 3 bits.
- Pad with leading zeros: 00111.
- Invert the bits: 11000.
- Add 1: 11001.

So, the binary representation of -7 in two's complement using 8 bits is 11001.

**Example 2:** Convert -10 to binary using 8 bits (two's complement):

- Absolute value of -10 is 10, which is 1010 in 4 bits.
- Pad with leading zeros: 00001010.
- Invert the bits: 11110101.
- Add 1: 11110110.

So, the binary representation of -10 in two's complement using 8 bits is 11110110.

Note: The bit length used for two's complement representation determines the range of representable negative values. For n bits, you can represent values in the range from -2^(n-1) to 2^(n-1) - 1.

Negative numbers are indeed represented in binary using two's complement to enable arithmetic operations like addition and subtraction.

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