# Homework 3

- [2 points] Convert .65625 to binary. Show your work.
- [2 points] Convert .10111
_{2} to decimal. Show your work.
- [2 points] Convert 11.101
_{2} to decimal. Show your work.
- [4 points] Define precision and gap relating to binary.
- [4 points] In a five bit binary representation, what is the smallest number larger that zero that can be represented? Explain your answer.
- [6 points] Give the truth table, expression and draw a circuit to express the
**and** logical function.
- [5 points] Use a truth table to show that a+b ≠ a + b.
- [5 points] Draw a circuit for the expression f(a,b) = a · b

### Submission

Submit the assignment to the D2L folder Homework1 by the due date.