Final answer:
The maximum value that can be represented with n radix-k digits is kⁿ - 1.
Step-by-step explanation:
Maximum value with radix-k digits
The maximum value that can be represented with n radix-k digits is option b. kⁿ - 1.
Step-by-step explanation:
In a radix-k system, each digit can have a value ranging from 0 to (k-1). So, for n digits, the maximum value that can be represented is (k-1) * (k-1) * ... * (k-1) (n times). This is equal to (kⁿ - 1), as each digit can be (k-1) and we subtract 1 to account for the possibility of having all 0 digits.
For example, in binary (radix-2 system), with 4 digits, the maximum value is (2⁴ - 1) = 15.