Chapter 2, Problem 4E

Explanation of Solution

Number of unsigned integers represented using “n’ bits:

With “n” bits, the number of unsigned integers can be represented is “$2^n$”.

Explanation:

• Using “2” bits, a pool of “$2^2$”, which means “4” unsigned integers can be produced.
• Using “3” bits, a pool of “$2^3$”, which means “8” unsigned integers can be produced

Explanation of Solution

Range of unsigned integers:

• The positive integers including “0” can be represented using unsigned integers.
• The negative integers cannot be represented using unsigned integers.
• The magnitude of the binary pattern of an unsigned integer is represented as a value.
• With “n” bits, “${\text{2}}^{\text{n}}$” integers can be represented.
• The range of unsigned integers with “n” bits is from “0” to “$2^n-1$”