973B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 973B 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 973B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 973B by 16⁰, multiply the second to last digit in 973B by 16¹, multiply the third to last digit in 973B by 16², multiply the fourth to last digit in 973B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
3 × 16¹ = 48
7 × 16² = 1792
9 × 16³ = 36864

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:

11 + 48 + 1792 + 36864 = 38715

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.

38715 ÷ 2 = 19357 with 1 remainder
19357 ÷ 2 = 9678 with 1 remainder
9678 ÷ 2 = 4839 with 0 remainder
4839 ÷ 2 = 2419 with 1 remainder
2419 ÷ 2 = 1209 with 1 remainder
1209 ÷ 2 = 604 with 1 remainder
604 ÷ 2 = 302 with 0 remainder
302 ÷ 2 = 151 with 0 remainder
151 ÷ 2 = 75 with 1 remainder
75 ÷ 2 = 37 with 1 remainder
37 ÷ 2 = 18 with 1 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 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 973B hexadecimal to binary:

973B hexadecimal = 1001011100111011 binary

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