Tech 63 - HW 1 - Lab PDF

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Homework 1 1. How many clock cycles is required to transfer 8 bits in: a. Serial b. Parallel 2. The following table shows the output of a gate in different cases. What is the name of the gate? Inputs 0 0 1 1

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0 1 0 1

Output 0 0 0 1

AND gate

3. A basic 3-input logic circuit has a LOW on one input and a HIGH on the other two inputs, and the output is HIGH. What type of logic circuit is it? - OR gate 4. Convert the binary number 101101 to decimal. - 45 5. Convert each decimal number to binary by using the sum-of-weights method: a. 18  10010 b. 0.26  0.0100001 6. Convert each decimal number to binary using repeated division by 2: a. 22.  10110 b. 0.76  0.1100001 7. Determine the 1’s and 2’s complement of 110010 - 001110

8. Express each decimal number in binary as an 8-bit sign-magnitude number: a. +29 

00011101

b. -38

10100110



9. Express each decimal number as an 8-bit number in the 2’s complement form:

a. +45 

11010011

b. -34

11011110



10. Determine the decimal value of each signed binary number in the following three cases: if they are in sign-magnitude, 1’s complement, and 2’s complement. a. 011010 -

Sign-mag  111010

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1’s

 100101

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2’s

 100110

b. 101001 -

Sign-mag  001001

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1’s

 010110

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2’s

 010111...