(10110011100011110000)2 in base 32

To convert a binary number to base 32, we first need to convert it to hexadecimal (base 16) because each hexadecimal digit represents exactly 4 binary digits, and each base 32 digit represents exactly 5 binary digits.

Here are the steps:

1. Group the binary number into sets of 4 starting from the right: 1011 0011 1000 1111 0000
2. Convert each group into hexadecimal: B 3 8 F 0
3. Now we have (B38F0)16.

Next, we need to convert this hexadecimal number to base 32.

1. Convert each hexadecimal digit to binary: B (1011), 3 (0011), 8 (1000), F (1111), 0 (0000)
2. Group these binary numbers into sets of 5 starting from the right: 10110 01110 00111 10000
3. Convert each group into base 32: G U H 0

So, (10110011100011110000)2 in base 32 is (GUH0)32.