What is the square root of the binary number 10000 in base two
The square root of the binary number 10000 in base two can be found by converting the binary number to its corresponding decimal form and then taking the square root.
In base two, the binary number 10000 represents the decimal number 16.
√16 = 4
Therefore, the square root of the binary number 10000 in base two is 100.
To find the square root of a binary number, we need to convert it to base 10 before calculating the square root.
Binary number 10000 in base 2 is equivalent to the number 16 in base 10.
The square root of 16 is 4, so the square root of the binary number 10000 is 4 in base 10.
To find the square root of a binary number in base two, you can follow these steps:
Step 1: Convert the binary number to decimal.
To convert the binary number 10000 to decimal, you can multiply each digit by the corresponding power of 2, starting from the rightmost digit. In this case, the binary number 10000 is equivalent to 16 in decimal.
Step 2: Find the square root of the decimal number.
The square root of 16 is 4.
Step 3: Convert the decimal square root back to binary.
To convert the decimal number 4 back to binary, you can divide it by 2 successively and note the remainders.
Dividing 4 by 2, we get a quotient of 2 and a remainder of 0.
Dividing 2 by 2, we get a quotient of 1 and a remainder of 0.
Finally, dividing 1 by 2, we get a quotient of 0 and a remainder of 1.
Reading the remainders in reverse order, we get the binary square root of 10000 in base two as 100.
Therefore, the square root of the binary number 10000 in base two is 100.