1256 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1256 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 1256 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1256 by 16⁰, multiply the second to last digit in 1256 by 16¹, multiply the third to last digit in 1256 by 16², multiply the fourth to last digit in 1256 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
5 × 16¹ = 80
2 × 16² = 512
1 × 16³ = 4096

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 + 80 + 512 + 4096 = 4694

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.

4694 ÷ 2 = 2347 with 0 remainder
2347 ÷ 2 = 1173 with 1 remainder
1173 ÷ 2 = 586 with 1 remainder
586 ÷ 2 = 293 with 0 remainder
293 ÷ 2 = 146 with 1 remainder
146 ÷ 2 = 73 with 0 remainder
73 ÷ 2 = 36 with 1 remainder
36 ÷ 2 = 18 with 0 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 1256 hexadecimal to binary:

1256 hexadecimal = 1001001010110 binary

Hexadecimal to Binary Converter
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1257 hexadecimal to binary
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