Base 5 to base 2 conversion
Base 5 to base 2 converter lets you convert number system between base 5 to base 2 and will give you the result with calculation steps and it also supports decimal numbers. Enter your number and choose bases below to start a conversion.
Result
How to convert 1 in base 5 to base 2?
Calculation steps
To convert 1 in base 5 to base 2, take the following steps.
- Convert 1 from base 5 to base 10.
- Convert result of the previous step from base 10 to base 2.
Step 1: convert 1 from base 5 to base 10
To start the calculation, let d is the number in each digit and n is the exponent of the number in that digit. Therefore, the steps can be shown in the following table.
Exponent (n) | Digit (d) | d x 5n | Cumulative sum |
---|---|---|---|
0 | 1 | 1 x 50 | 1 |
From the table above, it can be written as a conversion formula as:
(1 × 50)
Then calculate the sum of all the cumulative sums we get:
1 = 1
Step 2: convert from base 10 to base 2
Conversion from base 10 to base 2 can be done by dividing the number by 2 until the quotient is zero. The steps can be shown in the following table.
# | Number divides 2 | Quotient | Remaining |
---|---|---|---|
1 | 1 divides 2 | 0 | 1 |
When the division is complete, connect all the remainders of the division. Starting from the bottom of the table we get 1.
Therefore, 1 in base 5 can to converted to base 2 as 1.
Base 5 to base 2 conversions table
Here is a conversions table comparing the relationship between base 5 and base 2 by using 1 - 100 in base 10 as starting numbers.
Base 5 | Base 2 |
---|---|
1 | 1 |
2 | 10 |
3 | 11 |
4 | 100 |
10 | 101 |
11 | 110 |
12 | 111 |
13 | 1000 |
14 | 1001 |
20 | 1010 |
21 | 1011 |
22 | 1100 |
23 | 1101 |
24 | 1110 |
30 | 1111 |
31 | 10000 |
32 | 10001 |
33 | 10010 |
34 | 10011 |
40 | 10100 |
41 | 10101 |
42 | 10110 |
43 | 10111 |
44 | 11000 |
100 | 11001 |
101 | 11010 |
102 | 11011 |
103 | 11100 |
104 | 11101 |
110 | 11110 |
111 | 11111 |
112 | 100000 |
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