Octal works on the principal of combining 3 bits Hex combine

Octal works on the principal of combining 3 bits. Hex combines 4. Pick a new base (2 bits =
base 4, 5 bits = base 32, 6 bits = base 64) and show me the algorithm to convert to and from your
new base system. Show your work.

Solution

For a new base-N system, such that

N=2n

we have to combine n-bits of the binary system to form the base-N system.

The combining should start from right most (LSB) towards (MSB), such that zeros are added to the left such that total bits in base-2 are an integral multiple of \'n\'.

Octal works on the principal of combining 3 bits. Hex combines 4. Pick a new base (2 bits = base 4, 5 bits = base 32, 6 bits = base 64) and show me the algorith

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