1585 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1585 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 1585 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1585 by 16⁰, multiply the second to last digit in 1585 by 16¹, multiply the third to last digit in 1585 by 16², multiply the fourth to last digit in 1585 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
8 × 16¹ = 128
5 × 16² = 1280
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:

5 + 128 + 1280 + 4096 = 5509

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.

5509 ÷ 2 = 2754 with 1 remainder
2754 ÷ 2 = 1377 with 0 remainder
1377 ÷ 2 = 688 with 1 remainder
688 ÷ 2 = 344 with 0 remainder
344 ÷ 2 = 172 with 0 remainder
172 ÷ 2 = 86 with 0 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 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 1585 hexadecimal to binary:

1585 hexadecimal = 1010110000101 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

1586 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.