George Mason University Binary Worksheet

Assignment 1 (100 points)Carefully read each question.
You need to show the work on each question (similar to what
was done in class).
Be very clear, specifying what is done on each step.
Show only one final answer, no multiple final answers.
When you scan your document (if done by hand), make sure
everything is readable.
1. (10 points) Convert the binary number 101000111011010101,
to hexadecimal.
2. (10 points) Convert the hexadecimal number 4CB to binary.
3. (10 points) Convert the decimal number 298, to hexadecimal.
4. (5 points) How many bytes are 32-bits?
5. (15 points) Compute 0101110, + 1101101,. Does overflow
occur? (You need to show the carry-bits)
6. (15 points) Compute -11, +9, in two’s complement using 5-
bits.
10
7. (10 points) What is the decimal value of these signed binary
numbers (not 2’s complement, they are signed, which is the
other way to express positive and negative numbers):
a. 011011
b. 100101
8. (25 points) Create a truth table based on the following circuit:
A
B
C
Output