
Here we will show you how to convert the hexadecimal number 740 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 740 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 740 by 16⁰, multiply the second to last digit in 740 by 16¹, multiply the third to last digit in 740 by 16², multiply the fourth to last digit in 740 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
4 × 16¹ = 64
7 × 16² = 1792
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:
0 + 64 + 1792 = 1856
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.
1856 ÷ 2 = 928 with 0 remainder
928 ÷ 2 = 464 with 0 remainder
464 ÷ 2 = 232 with 0 remainder
232 ÷ 2 = 116 with 0 remainder
116 ÷ 2 = 58 with 0 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 740 hexadecimal to binary:
740 hexadecimal = 11101000000 binary
Hexadecimal to Binary Converter
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741 hexadecimal to binary
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