163D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 163D 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 163D from hexadecimal to binary are explained below.

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

D × 16⁰ = 13
3 × 16¹ = 48
6 × 16² = 1536
1 × 16³ = 4096

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:

13 + 48 + 1536 + 4096 = 5693

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.

5693 ÷ 2 = 2846 with 1 remainder
2846 ÷ 2 = 1423 with 0 remainder
1423 ÷ 2 = 711 with 1 remainder
711 ÷ 2 = 355 with 1 remainder
355 ÷ 2 = 177 with 1 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 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 163D hexadecimal to binary:

163D hexadecimal = 1011000111101 binary

Hexadecimal to Binary Converter
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