B673 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B673 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 B673 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B673 by 16⁰, multiply the second to last digit in B673 by 16¹, multiply the third to last digit in B673 by 16², multiply the fourth to last digit in B673 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
7 × 16¹ = 112
6 × 16² = 1536
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:

3 + 112 + 1536 + 45056 = 46707

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.

46707 ÷ 2 = 23353 with 1 remainder
23353 ÷ 2 = 11676 with 1 remainder
11676 ÷ 2 = 5838 with 0 remainder
5838 ÷ 2 = 2919 with 0 remainder
2919 ÷ 2 = 1459 with 1 remainder
1459 ÷ 2 = 729 with 1 remainder
729 ÷ 2 = 364 with 1 remainder
364 ÷ 2 = 182 with 0 remainder
182 ÷ 2 = 91 with 0 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 B673 hexadecimal to binary:

B673 hexadecimal = 1011011001110011 binary

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B674 hexadecimal to binary
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