F05B hexadecimal to binary

Here we will show you how to convert the hexadecimal number F05B 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 F05B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F05B by 16⁰, multiply the second to last digit in F05B by 16¹, multiply the third to last digit in F05B by 16², multiply the fourth to last digit in F05B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
5 × 16¹ = 80
0 × 16² = 0
F × 16³ = 61440

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 + 80 + 0 + 61440 = 61531

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.

61531 ÷ 2 = 30765 with 1 remainder
30765 ÷ 2 = 15382 with 1 remainder
15382 ÷ 2 = 7691 with 0 remainder
7691 ÷ 2 = 3845 with 1 remainder
3845 ÷ 2 = 1922 with 1 remainder
1922 ÷ 2 = 961 with 0 remainder
961 ÷ 2 = 480 with 1 remainder
480 ÷ 2 = 240 with 0 remainder
240 ÷ 2 = 120 with 0 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 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 F05B hexadecimal to binary:

F05B hexadecimal = 1111000001011011 binary

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