672A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 672A 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 672A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 672A by 16⁰, multiply the second to last digit in 672A by 16¹, multiply the third to last digit in 672A by 16², multiply the fourth to last digit in 672A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
2 × 16¹ = 32
7 × 16² = 1792
6 × 16³ = 24576

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 + 32 + 1792 + 24576 = 26410

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.

26410 ÷ 2 = 13205 with 0 remainder
13205 ÷ 2 = 6602 with 1 remainder
6602 ÷ 2 = 3301 with 0 remainder
3301 ÷ 2 = 1650 with 1 remainder
1650 ÷ 2 = 825 with 0 remainder
825 ÷ 2 = 412 with 1 remainder
412 ÷ 2 = 206 with 0 remainder
206 ÷ 2 = 103 with 0 remainder
103 ÷ 2 = 51 with 1 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 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 672A hexadecimal to binary:

672A hexadecimal = 110011100101010 binary

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672B hexadecimal to binary
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