Final answer:
The biggest decimal value you can represent with 6 bits is 63, which corresponds to the binary number 111111. This is calculated by adding the powers of two that each bit represents when all bits are set to '1'.
Step-by-step explanation:
The biggest binary number (decimal value) you can write with 6 bits is 63. In binary, this is represented as 111111. Calculating in terms of powers of two, each bit represents a value, starting from right to left, of 1, 2, 4, 8, 16, and 32. Adding these together when all bits are '1' provides the largest number, which is 1+2+4+8+16+32 = 63 in decimal form.
When we write large numbers in scientific notation, we typically have one digit to the left of the decimal point to keep the notation simple and standardized. For example, the number 6 can be understood as 6. in notation, while large numbers such as 965 would be converted to scientific notation for simplification.