Final answer:
The statement is true, as a 60-bit unsigned binary integer's largest possible value is indeed (2⁶⁰ - 1), with all 60 bits set to 1.
Step-by-step explanation:
The statement that the largest value a 60-bit unsigned binary integer can represent is (2⁶⁰ - 1) is true. In binary, a 60-bit number has 60 places where each place can either be 0 or 1. The maximum value is reached when all 60 places are set to 1. Since binary is a base-2 number system, the value of a 60-bit number with all bits set to 1 is calculated by summing the values of each bit in the set, which gives us the value of 2⁶⁰ - 1 because the sum is equivalent to the geometric series resulting from the powers of 2 from 2⁰ (which is 1) to 2⁵⁹.