738A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 738A 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 738A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 738A by 16⁰, multiply the second to last digit in 738A by 16¹, multiply the third to last digit in 738A by 16², multiply the fourth to last digit in 738A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
8 × 16¹ = 128
3 × 16² = 768
7 × 16³ = 28672

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 + 128 + 768 + 28672 = 29578

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.

29578 ÷ 2 = 14789 with 0 remainder
14789 ÷ 2 = 7394 with 1 remainder
7394 ÷ 2 = 3697 with 0 remainder
3697 ÷ 2 = 1848 with 1 remainder
1848 ÷ 2 = 924 with 0 remainder
924 ÷ 2 = 462 with 0 remainder
462 ÷ 2 = 231 with 0 remainder
231 ÷ 2 = 115 with 1 remainder
115 ÷ 2 = 57 with 1 remainder
57 ÷ 2 = 28 with 1 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 738A hexadecimal to binary:

738A hexadecimal = 111001110001010 binary

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738B hexadecimal to binary
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