This homework is worth 10% of your course grade and consists of ten problems worth a total of 105 points.

Problems 1 through 5 are worth fifteen points each. Problems 6 through 10 are worth six points each.

Submit the completed homework via your Assignment folder in our Tycho classroom, hard copy through US Mail, or electronic mail. Mailed copies should be sent to: Richard Daumit 5450 Whitley Park Terrace #512 Bethesda, MDNNN-NN-NNNN

For problems 1 through 3, convert the decimal numbers into 8 bit binary numbers as required for 2's complement math, and perform the indicated operations. Circle or bold your binary answer and show your work.

Remember that positive numbers are represented in sign-magnitude format in 2's complement math

1.

+38 +30 =

2.

+38 -30 =

3.

- 38 +30 =

4. Draw a truth table for the Boolean equation:

M = A'B’C’ + A’B C + A B’C’ + A B’C + A B C

A B C M 0 0 0

1 1 1

5. Draw a simple NOT, AND, OR circuit in sum of products (SOP) form that represents the equation in problem 4.

For problems 6 through 10, you are to identify the diagram (1 through 11) and/or circuit description (a through h), and/or truth table (A through H) that best describes the gate or circuit.

Gates should have three parts – figure, circuit description, and truth table. Circuits will only require a figure number.

Figure Description Truth Table

6. NAND gate ________, _________, and _________

7. Multiplexer ________

8. XOR gate ________, __________, and _________

9. ALU _________

10. OR gate ________, __________, and _________

Figure 1 Figure 2

Figure 3 Figure 4

Figure 5 Figure 6

Circuit descriptions:

a. The output is one if and only if all of the inputs are one.

b. The output is one if and only if one of the two inputs is one.

c. The output is one if any of the inputs are one.

d. The output is zero if and only if all of the inputs are one.

e. The output is zero if and only if one of the two inputs is one.

f. The output is zero if any of the inputs are one.

g. The output state is identical to that of the input state.

h. The output state is opposite to that of its input state.

Truth tables:

Table A: Table B: Table C: Table D: Input output Inputs output inputs output inputs Output X A X Y B X Y C X Y D 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1

Table E: Table F: Table G: Table H: Input Output Inputs Output Inputs Output Inputs Output X E X Y F X Y G X Y H 0 1 0 0 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 1 1 1 1 0

Thanks for promptly replying. There are 5 questions from 6 to 10. 11 figures are given.I think we have to identify only five figures out of 11. Similar is the case with truth tables and and circuit descriptions. Kindly clarify and confirm it.

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