# Turing Machines Homework

- Unary numbers, as described in the lecture are represented by a
number of tallies equal to the number. For example 3 is represented
as |||. Subtraction of a unary numbers is done by removing one tally
from the left hand side for each tally in the right hand side. Thus
||| - || = || - | = |. Write a Turing Machine that performs unary
subtraction.
- Binary numbers are repreented by zeros and ones which each have a
place value. Each place represents a power of two. Subtraction on
binary numbers is done by subtracting indevidual digits and
resolving 'carrying' as needs be. This is very similar to base ten
subtraction learned in elementry school. For example 11111 - 0000 =
11111 and 10101 - 1111 = 00110. Write a Turing Machine to subtract
a 4 bit binary from a 5 bit binary number.

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