Final answer:
An unsigned integer 6-bit data type supports a range of values from 0 to 63, as it can store a total of 64 different numbers (2^6).
Step-by-step explanation:
The data type is unsigned integer 6-bit, meaning it can represent positive whole numbers including zero, using six bits. Each bit can be either a 0 or a 1, and there are 2 possible values per bit. With 6 bits, the total number of combinations is 2 to the power of 6, which is 64. Therefore, the range of values that an unsigned integer 6-bit data type can support is from 0 to 63 inclusively. Calculating this is a simple matter of understanding binary numbers, where the smallest number is represented by all bits being 0 (which is the decimal number 0) and the largest being all bits set to 1 (which corresponds to the decimal number 63).