8B7A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8B7A 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 8B7A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8B7A by 16⁰, multiply the second to last digit in 8B7A by 16¹, multiply the third to last digit in 8B7A by 16², multiply the fourth to last digit in 8B7A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
7 × 16¹ = 112
B × 16² = 2816
8 × 16³ = 32768

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:

10 + 112 + 2816 + 32768 = 35706

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.

35706 ÷ 2 = 17853 with 0 remainder
17853 ÷ 2 = 8926 with 1 remainder
8926 ÷ 2 = 4463 with 0 remainder
4463 ÷ 2 = 2231 with 1 remainder
2231 ÷ 2 = 1115 with 1 remainder
1115 ÷ 2 = 557 with 1 remainder
557 ÷ 2 = 278 with 1 remainder
278 ÷ 2 = 139 with 0 remainder
139 ÷ 2 = 69 with 1 remainder
69 ÷ 2 = 34 with 1 remainder
34 ÷ 2 = 17 with 0 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 8B7A hexadecimal to binary:

8B7A hexadecimal = 1000101101111010 binary

Hexadecimal to Binary Converter
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8B7B hexadecimal to binary
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