For the following number, identify the numbering system used:

1 1101

then explain what other numbering system a programmer might want to use and why

Binary (base 2)

Explanation:

Another numbering system might be the hexadecimal system (base 16), for ease of representing long binary numbers, since it's easy to convert from hex to binary.

For instance, the 16 digit binary number 1111 0000 1011 1010 can be simply expressed as a 4 digit hexadecimal number F0BA, by doing the following quick math:

1111 (base 2) = 15 (base 10) = F (base 16)

0000 (base 2) = 0 (base 10) = 0 (base 16)

1011 (base 2) = 11 (base 10) = B (base 16)

1010 (base 2) = 10 (base 10) = A (base 16)

People usually append 0x at the front to indicate hex format, eg 0xFOBA.

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