179A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 179A 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 179A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 179A by 16⁰, multiply the second to last digit in 179A by 16¹, multiply the third to last digit in 179A by 16², multiply the fourth to last digit in 179A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
9 × 16¹ = 144
7 × 16² = 1792
1 × 16³ = 4096

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 + 144 + 1792 + 4096 = 6042

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.

6042 ÷ 2 = 3021 with 0 remainder
3021 ÷ 2 = 1510 with 1 remainder
1510 ÷ 2 = 755 with 0 remainder
755 ÷ 2 = 377 with 1 remainder
377 ÷ 2 = 188 with 1 remainder
188 ÷ 2 = 94 with 0 remainder
94 ÷ 2 = 47 with 0 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 179A hexadecimal to binary:

179A hexadecimal = 1011110011010 binary

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179B hexadecimal to binary
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