CAIS 265
Assignment #1
(Worth 100 points)
Remember to show the full details (e.g. conversion process). Giving only the final answers is not
sufficient.
1. (6 points) Convert the following binary numbers to decimal.
a. 11112
b. 101000112
2. (6 points) Convert the following binary numbers to hexadecimal.
a. 100100112
b. 011011102
3. (6 points) Convert the following decimal numbers to 8-bit binary.
a. 21410
b. 14610
4. (6 points) Convert the following decimal numbers to hexadecimal.
a. 6810
b. 10710
5. (6 points) Convert the following decimal numbers to BCD.
a. 8710
b. 94110
6. (6 points) Convert the following hexadecimals to binary.
a. FA16
b. 6216
7. (6 points) Convert the following hexadecimal numbers to decimal.
a. 15D16
b. 7816
8. (6 points) Convert the following BCD numbers to decimal.
a. 0101 0100BCD
b. 0011 1001BCD
9.
a. (8 points) Construct the truth table for a two-input XNOR gate.
b. (8 points) Based on the table, write the Boolean function for XNOR in SOP form.
c. (7 points) Convert the SOP form directly to a logic diagram using NOT, AND,
OR gates only.
d. (7 points) Convert the SOP form to a logic diagram using NAND gates only.
e. (8 points) Based on the table acquired in step a, write the Boolean function for
XNOR in POS form.
f. (7 points) Convert the POS form directly to a logic diagram using NOT, OR,
AND gates only.
g. (7 points) Convert the POS form to a logic diagram using NOR gates only.