What is the range of integers that can be represented using 8 bits and 16 bits in the followingcases:- Unsigned integers.- Signed integers represented with Sign-Magnitude, one’s complement, and two’scomplement.

Sure, here are the ranges for 8-bit and 16-bit integers:

1. Unsigned integers:

   • 8 bits: The range is from 0 to 255.
   • 16 bits: The range is from 0 to 65535.

2. Signed integers:

   • Sign-Magnitude and one's complement:
     • 8 bits: The range is from -127 to 127.
     • 16 bits: The range is from -32767 to 32767.
   • Two's complement:
     • 8 bits: The range is from -128 to 127.
     • 16 bits: The range is from -32768 to 32767.

Here's why:

For unsigned integers, the range is simply 0 to 2^n - 1, where n is the number of bits.

For signed integers, it's a bit more complicated. For sign-magnitude and one's complement, the range is -((2^n)/2 - 1) to (2^n)/2 - 1. This is because one bit is used for the sign, and the rest are used for the magnitude of the number.

For two's complement, the range is -((2^n)/2) to (2^n)/2 - 1. This is because two's complement can represent one more negative number than the other two methods.