Truth table-boolean expressions, Algebra

1. Construct a truth table for the following Boolean expressions:

a) ABC + A'B'C'

b) ABC + AB'C' + A'B'C'

c) A (BC' + B'C)

2.  Simplify the following expressions:

a) A•B' + B'•A + C•D•E + C'•D•E + E•C'•D

b) A•B + A•C + B•A

3. How many input and output lines does a multiplexer contain if it has four select lines? Justify your answer.

4. How many output lines does a decoder contain if it has 10 input lines?

Justify your answer.

5. Design a 4-to-1 multiplexer using AND, OR, and NOT gates. HINT: construct a truth table for this multiplexer using a maximum of a 2-bit combinations.

6. Convert 0010 11012 to hexadecimal.

7. What ASCII character is 0110 11012?

8. Two's complement is a method of representing positive and negative integers in binary. Provide the 8-bit two's complement representation of +67 and -67.

Your answers must be 8 bits long.

9. Perform the indicated base conversions:

a) 548 to base 5

b) 3124 to base 7

c) 5206 to base 7

d) 122123 to base 9

10. If processor A has a higher clock rate than processor B, and processor A also has a higher MIPS rating than processor B, explain whether processor A will always execute faster than processor B. Suppose that there are two implementations of the same instruction set architecture. Machine A has a clock cycle time of 20ns and an effective CPI of 1.5 for some program, and machine B has a clock cycle time of 15ns and an effective CPI of 1.0 for the same program. Which machine is faster for this program, and by how much?

11. What does this circuit do?

689_circuit gate.png

Posted Date: 3/4/2013 6:53:40 AM | Location : United States







Related Discussions:- Truth table-boolean expressions, Assignment Help, Ask Question on Truth table-boolean expressions, Get Answer, Expert's Help, Truth table-boolean expressions Discussions

Write discussion on Truth table-boolean expressions
Your posts are moderated
Related Questions

A hotel places several small packs of butter on tables at breakfast. The number of packs is given by the formula: b=3xg+1. B is the number of packs of butter, and g is the number

Example The growth of a colony of bacteria is provided by the equation,                                            Q = Q e 0.195 t If there are at first 500 bacteria exist

#question.what does a circle radius of 18.9 look like

a group of circus tickets cost $12 for your 3 children.if your children invite a total of 7 friends you can get a discount and the total would be $30. what is the rate of change?

what is 500 times 70

what is rational exponents and give some examples?

Multiply 2(b + 5) Thanks

Find the surface area of a cylinder with a base radius of 3 cm and a height of 8 cm. Write your answer in terms of 3.14, and be sure to include the correct unit.

The sum of digits of a number is 9 If the digits of the number are reversed the number increases by 45 What is the original number?