DEC6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DEC6 to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert DEC6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DEC6 by 16⁰, multiply the second to last digit in DEC6 by 16¹, multiply the third to last digit in DEC6 by 16², multiply the fourth to last digit in DEC6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
C × 16¹ = 192
E × 16² = 3584
D × 16³ = 53248

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

6 + 192 + 3584 + 53248 = 57030

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

57030 ÷ 2 = 28515 with 0 remainder
28515 ÷ 2 = 14257 with 1 remainder
14257 ÷ 2 = 7128 with 1 remainder
7128 ÷ 2 = 3564 with 0 remainder
3564 ÷ 2 = 1782 with 0 remainder
1782 ÷ 2 = 891 with 0 remainder
891 ÷ 2 = 445 with 1 remainder
445 ÷ 2 = 222 with 1 remainder
222 ÷ 2 = 111 with 0 remainder
111 ÷ 2 = 55 with 1 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to DEC6 hexadecimal to binary:

DEC6 hexadecimal = 1101111011000110 binary

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DEC7 hexadecimal to binary
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