B07F hexadecimal to binary

Here we will show you how to convert the hexadecimal number B07F 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 B07F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B07F by 16⁰, multiply the second to last digit in B07F by 16¹, multiply the third to last digit in B07F by 16², multiply the fourth to last digit in B07F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
7 × 16¹ = 112
0 × 16² = 0
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 + 112 + 0 + 45056 = 45183

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.

45183 ÷ 2 = 22591 with 1 remainder
22591 ÷ 2 = 11295 with 1 remainder
11295 ÷ 2 = 5647 with 1 remainder
5647 ÷ 2 = 2823 with 1 remainder
2823 ÷ 2 = 1411 with 1 remainder
1411 ÷ 2 = 705 with 1 remainder
705 ÷ 2 = 352 with 1 remainder
352 ÷ 2 = 176 with 0 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 B07F hexadecimal to binary:

B07F hexadecimal = 1011000001111111 binary

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