5668 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5668 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 5668 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5668 by 16⁰, multiply the second to last digit in 5668 by 16¹, multiply the third to last digit in 5668 by 16², multiply the fourth to last digit in 5668 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
6 × 16¹ = 96
6 × 16² = 1536
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:

8 + 96 + 1536 + 20480 = 22120

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.

22120 ÷ 2 = 11060 with 0 remainder
11060 ÷ 2 = 5530 with 0 remainder
5530 ÷ 2 = 2765 with 0 remainder
2765 ÷ 2 = 1382 with 1 remainder
1382 ÷ 2 = 691 with 0 remainder
691 ÷ 2 = 345 with 1 remainder
345 ÷ 2 = 172 with 1 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 5668 hexadecimal to binary:

5668 hexadecimal = 101011001101000 binary

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

5669 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.