4B93 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4B93 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 4B93 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4B93 by 16⁰, multiply the second to last digit in 4B93 by 16¹, multiply the third to last digit in 4B93 by 16², multiply the fourth to last digit in 4B93 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
9 × 16¹ = 144
B × 16² = 2816
4 × 16³ = 16384

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 + 144 + 2816 + 16384 = 19347

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.

19347 ÷ 2 = 9673 with 1 remainder
9673 ÷ 2 = 4836 with 1 remainder
4836 ÷ 2 = 2418 with 0 remainder
2418 ÷ 2 = 1209 with 0 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 4B93 hexadecimal to binary:

4B93 hexadecimal = 100101110010011 binary

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4B94 hexadecimal to binary
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