Range of signed decimal numbers represented by 6-bit 1's complement
- The 1's complement representation is a method of representing signed numbers in binary form.
- In a 6-bit 1's complement number system, the most significant bit (MSB) represents the sign of the number (0 for positive, 1 for negative) and the remaining 5 bits represent the magnitude of the number.

Positive range
- For a 6-bit 1's complement number, the range of positive decimal numbers that can be represented is from 0 to (2^5 - 1) = 31.
- This is because the MSB is 0, and the remaining 5 bits can represent numbers from 0 to 31.

Negative range
- For negative numbers, the range is from -0 to -31.
- The negative zero is represented as all 1s in the magnitude bits (11111).
- This results in the representation of -0 as -31 in decimal form.
- The most negative number that can be represented is -31, when all bits are 1 (111111).

Conclusion
- Therefore, the range of signed decimal numbers that can be represented by a 6-bit 1's complement number system is from -31 to 31.
- This system allows for the representation of both positive and negative numbers using a fixed number of bits.