384A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 384A 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 384A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 384A by 16⁰, multiply the second to last digit in 384A by 16¹, multiply the third to last digit in 384A by 16², multiply the fourth to last digit in 384A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
4 × 16¹ = 64
8 × 16² = 2048
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:

10 + 64 + 2048 + 12288 = 14410

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.

14410 ÷ 2 = 7205 with 0 remainder
7205 ÷ 2 = 3602 with 1 remainder
3602 ÷ 2 = 1801 with 0 remainder
1801 ÷ 2 = 900 with 1 remainder
900 ÷ 2 = 450 with 0 remainder
450 ÷ 2 = 225 with 0 remainder
225 ÷ 2 = 112 with 1 remainder
112 ÷ 2 = 56 with 0 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 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 384A hexadecimal to binary:

384A hexadecimal = 11100001001010 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

384B hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.