584B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 584B 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 584B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 584B by 16⁰, multiply the second to last digit in 584B by 16¹, multiply the third to last digit in 584B by 16², multiply the fourth to last digit in 584B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
4 × 16¹ = 64
8 × 16² = 2048
5 × 16³ = 20480

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:

11 + 64 + 2048 + 20480 = 22603

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.

22603 ÷ 2 = 11301 with 1 remainder
11301 ÷ 2 = 5650 with 1 remainder
5650 ÷ 2 = 2825 with 0 remainder
2825 ÷ 2 = 1412 with 1 remainder
1412 ÷ 2 = 706 with 0 remainder
706 ÷ 2 = 353 with 0 remainder
353 ÷ 2 = 176 with 1 remainder
176 ÷ 2 = 88 with 0 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 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 584B hexadecimal to binary:

584B hexadecimal = 101100001001011 binary

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