37AA hexadecimal to binary

Here we will show you how to convert the hexadecimal number 37AA 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 37AA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 37AA by 16⁰, multiply the second to last digit in 37AA by 16¹, multiply the third to last digit in 37AA by 16², multiply the fourth to last digit in 37AA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
A × 16¹ = 160
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:

10 + 160 + 1792 + 12288 = 14250

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.

14250 ÷ 2 = 7125 with 0 remainder
7125 ÷ 2 = 3562 with 1 remainder
3562 ÷ 2 = 1781 with 0 remainder
1781 ÷ 2 = 890 with 1 remainder
890 ÷ 2 = 445 with 0 remainder
445 ÷ 2 = 222 with 1 remainder
222 ÷ 2 = 111 with 0 remainder
111 ÷ 2 = 55 with 1 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 37AA hexadecimal to binary:

37AA hexadecimal = 11011110101010 binary

Hexadecimal to Binary Converter
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37AB hexadecimal to binary
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