1D5D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1D5D 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 1D5D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1D5D by 16⁰, multiply the second to last digit in 1D5D by 16¹, multiply the third to last digit in 1D5D by 16², multiply the fourth to last digit in 1D5D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
5 × 16¹ = 80
D × 16² = 3328
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 + 80 + 3328 + 4096 = 7517

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.

7517 ÷ 2 = 3758 with 1 remainder
3758 ÷ 2 = 1879 with 0 remainder
1879 ÷ 2 = 939 with 1 remainder
939 ÷ 2 = 469 with 1 remainder
469 ÷ 2 = 234 with 1 remainder
234 ÷ 2 = 117 with 0 remainder
117 ÷ 2 = 58 with 1 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 1D5D hexadecimal to binary:

1D5D hexadecimal = 1110101011101 binary

Hexadecimal to Binary Converter
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1D5E hexadecimal to binary
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