Base 13 to base 2 conversion

Base 13 to base 2 converter lets you convert number system between base 13 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 13 to base 2?

1
1 base 13 = 1 base 2

Calculation steps

To convert 1 in base 13 to base 2, take the following steps.

  1. Convert 1 from base 13 to base 10.
  2. Convert result of the previous step from base 10 to base 2.

Step 1: convert 1 from base 13 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 13nCumulative sum
01 1 x 1301

From the table above, it can be written as a conversion formula as:
(1 × 130)

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 2QuotientRemaining
11 divides 201

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 13 can to converted to base 2 as 1.

Base 13 to base 2 conversions table

Here is a conversions table comparing the relationship between base 13 and base 2 by using 1 - 100 in base 10 as starting numbers.

Base 13Base 2
11
210
311
4100
5101
6110
7111
81000
91001
A1010
B1011
C1100
101101
111110
121111
1310000
1410001
1510010
1610011
1710100
1810101
1910110
1A10111
1B11000
1C11001
2011010
2111011
2211100
2311101
2411110
2511111
26100000
27100001
28100010
29100011
2A100100
2B100101
2C100110
30100111
31101000
32101001
33101010
34101011
35101100
36101101
37101110
38101111
39110000
3A110001
3B110010
3C110011
40110100
41110101
42110110
43110111
44111000
45111001
46111010
47111011
48111100
49111101
4A111110
4B111111
4C1000000
501000001
511000010
521000011
531000100
541000101
551000110
561000111
571001000
581001001
591001010
5A1001011
5B1001100
5C1001101
601001110
611001111
621010000
631010001
641010010
651010011
661010100
671010101
681010110
691010111
6A1011000
6B1011001
6C1011010
701011011
711011100
721011101
731011110
741011111
751100000
761100001
771100010
781100011
791100100

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