B20F hexadecimal to binary

Here we will show you how to convert the hexadecimal number B20F 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 B20F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B20F by 16⁰, multiply the second to last digit in B20F by 16¹, multiply the third to last digit in B20F by 16², multiply the fourth to last digit in B20F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
0 × 16¹ = 0
2 × 16² = 512
B × 16³ = 45056

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:

15 + 0 + 512 + 45056 = 45583

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.

45583 ÷ 2 = 22791 with 1 remainder
22791 ÷ 2 = 11395 with 1 remainder
11395 ÷ 2 = 5697 with 1 remainder
5697 ÷ 2 = 2848 with 1 remainder
2848 ÷ 2 = 1424 with 0 remainder
1424 ÷ 2 = 712 with 0 remainder
712 ÷ 2 = 356 with 0 remainder
356 ÷ 2 = 178 with 0 remainder
178 ÷ 2 = 89 with 0 remainder
89 ÷ 2 = 44 with 1 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 B20F hexadecimal to binary:

B20F hexadecimal = 1011001000001111 binary

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B210 hexadecimal to binary
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