list the first twenty counting numbers in the...
list the first twenty counting numbers in the indicated base below. six (only digits 0 through 5 are used in base six.) what are the first twenty counting numbers in base six? (use a comma to separate answers as needed.)
Answer
# Answer:
0, 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 15, 20, 21, 22, 23, 24, 25, 30, 31
# Explanation:
## Step1: Start counting
In base six, we start with 0.
## Step2: Increment
We increment one - by - one. After 0, we have 1, 2, 3, 4, 5.
## Step3: Reach base limit
When we reach 5 and increment again, we carry over to the next place value, getting 10 (which is 6 in base ten).
## Step4: Continue counting
We continue incrementing: 11 (7 in base ten), 12 (8 in base ten), 13 (9 in base ten), 14 (10 in base ten), 15 (11 in base ten).
## Step5: Second carry - over
When 15 is incremented, we get 20 (12 in base ten).
## Step6: Keep counting
We keep incrementing in the same way until we have listed twenty numbers: 21 (13 in base ten), 22 (14 in base ten), 23 (15 in base ten), 24 (16 in base ten), 25 (17 in base ten), 30 (18 in base ten), 31 (19 in base ten).