375D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 375D 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 375D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 375D by 16⁰, multiply the second to last digit in 375D by 16¹, multiply the third to last digit in 375D by 16², multiply the fourth to last digit in 375D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
5 × 16¹ = 80
7 × 16² = 1792
3 × 16³ = 12288

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 + 80 + 1792 + 12288 = 14173

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.

14173 ÷ 2 = 7086 with 1 remainder
7086 ÷ 2 = 3543 with 0 remainder
3543 ÷ 2 = 1771 with 1 remainder
1771 ÷ 2 = 885 with 1 remainder
885 ÷ 2 = 442 with 1 remainder
442 ÷ 2 = 221 with 0 remainder
221 ÷ 2 = 110 with 1 remainder
110 ÷ 2 = 55 with 0 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 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 375D hexadecimal to binary:

375D hexadecimal = 11011101011101 binary

Hexadecimal to Binary Converter
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