
Here we will show you how to convert the hexadecimal number 734B 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 734B from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 734B by 16⁰, multiply the second to last digit in 734B by 16¹, multiply the third to last digit in 734B by 16², multiply the fourth to last digit in 734B by 16³, and so on, until all the digits are used.
B × 16⁰ = 11
4 × 16¹ = 64
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:
11 + 64 + 768 + 28672 = 29515
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.
29515 ÷ 2 = 14757 with 1 remainder
14757 ÷ 2 = 7378 with 1 remainder
7378 ÷ 2 = 3689 with 0 remainder
3689 ÷ 2 = 1844 with 1 remainder
1844 ÷ 2 = 922 with 0 remainder
922 ÷ 2 = 461 with 0 remainder
461 ÷ 2 = 230 with 1 remainder
230 ÷ 2 = 115 with 0 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 734B hexadecimal to binary:
734B hexadecimal = 111001101001011 binary
Hexadecimal to Binary Converter
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