B71F hexadecimal to binary

Here we will show you how to convert the hexadecimal number B71F 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 B71F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B71F by 16⁰, multiply the second to last digit in B71F by 16¹, multiply the third to last digit in B71F by 16², multiply the fourth to last digit in B71F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
1 × 16¹ = 16
7 × 16² = 1792
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 + 16 + 1792 + 45056 = 46879

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.

46879 ÷ 2 = 23439 with 1 remainder
23439 ÷ 2 = 11719 with 1 remainder
11719 ÷ 2 = 5859 with 1 remainder
5859 ÷ 2 = 2929 with 1 remainder
2929 ÷ 2 = 1464 with 1 remainder
1464 ÷ 2 = 732 with 0 remainder
732 ÷ 2 = 366 with 0 remainder
366 ÷ 2 = 183 with 0 remainder
183 ÷ 2 = 91 with 1 remainder
91 ÷ 2 = 45 with 1 remainder
45 ÷ 2 = 22 with 1 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 B71F hexadecimal to binary:

B71F hexadecimal = 1011011100011111 binary

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