Base 14 to base 2 conversion

Base 14 to base 2 converter lets you convert number system between base 14 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 14 to base 2?

1
1 base 14 = 1 base 2

Calculation steps

To convert 1 in base 14 to base 2, take the following steps.

  1. Convert 1 from base 14 to base 10.
  2. Convert result of the previous step from base 10 to base 2.

Step 1: convert 1 from base 14 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 14nCumulative sum
01 1 x 1401

From the table above, it can be written as a conversion formula as:
(1 × 140)

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 14 can to converted to base 2 as 1.

Base 14 to base 2 conversions table

Here is a conversions table comparing the relationship between base 14 and base 2 by using 1 - 100 in base 10 as starting numbers.

Base 14Base 2
11
210
311
4100
5101
6110
7111
81000
91001
A1010
B1011
C1100
D1101
101110
111111
1210000
1310001
1410010
1510011
1610100
1710101
1810110
1910111
1A11000
1B11001
1C11010
1D11011
2011100
2111101
2211110
2311111
24100000
25100001
26100010
27100011
28100100
29100101
2A100110
2B100111
2C101000
2D101001
30101010
31101011
32101100
33101101
34101110
35101111
36110000
37110001
38110010
39110011
3A110100
3B110101
3C110110
3D110111
40111000
41111001
42111010
43111011
44111100
45111101
46111110
47111111
481000000
491000001
4A1000010
4B1000011
4C1000100
4D1000101
501000110
511000111
521001000
531001001
541001010
551001011
561001100
571001101
581001110
591001111
5A1010000
5B1010001
5C1010010
5D1010011
601010100
611010101
621010110
631010111
641011000
651011001
661011010
671011011
681011100
691011101
6A1011110
6B1011111
6C1100000
6D1100001
701100010
711100011
721100100

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