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Assignment 4 Sample problems

Assignment 4 Sample problems. Convert the following decimal numbers to binary. 8 920. Convert the following decimal numbers to binary. 8 =>1000 920 =>1110011000. How can we get ?. 8 => 8*1= 2 3 =>1000

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Assignment 4 Sample problems

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  1. Assignment 4 Sample problems

  2. Convert the following decimal numbers to binary. 8 920

  3. Convert the following decimal numbers to binary. 8 =>1000 920 =>1110011000

  4. How can we get ? 8 => 8*1= 23 =>1000 920 =>512*1+256*1+128*1+16*1+8*1 => 29 +28 +27 +24 +23 =>1110011000

  5. Convert the following Binary numbers to Decimal. 110100 100110011

  6. Convert the following Binary numbers to Decimal. 110100 =>52 100110011 =>307

  7. How can we get ? 110100 => 1* 25 +1*24 +1*22 =52 100110011 =>1* 28 +1*25 +1* 24+1* 21+1* 20 = 307

  8. Add the following binary numbers. Express your answers in binary. 101+011=? 11010+10001=?

  9. Add the following binary numbers. Express your answers in binary. 101+011=1000 11010+10001=101011

  10. How can we get ? 101+011 => 1 0 1 + 0 1 1 => 1 0 0 0 11010+10001 => 1 1 0 1 0 + 1 0 0 0 1 => 1 0 1 0 1 1

  11. Subtract the following binary numbers. Express your answers in binary. 101-001=? 11010-01001=?

  12. Subtract the following binary numbers. Express your answers in binary. 101-001=100 11010-01001=10001

  13. How can we get ? 101-001 => 1 0 1 - 0 0 1 => 1 0 0 11010-01001 => 1 1 0 1 0 - 0 1 0 0 1 => 1 0 0 0 1

  14. Is this statement True or False? If I have an 8-bit system, 10111001 + 00110000 will result in overflow. 

  15. Is this statement True or False? If I have an 8-bit system, 10111001 + 00110000 will result in overflow.  False

  16. How can we get ? • 10111001 + 00110000 • 10111001 + 00110000 • 11101001 The result is still 8-bit, so the answer is False

  17. Provide the two's complement of the following 8-bit numbers. 01001110 10010010

  18. Provide the two's complement of the following 8-bit numbers. 01001110 => 10110010 10010010 => 01101110

  19. How can we get ? 1: 01001110 => 10110001 (invert bits) + 00000001 (add one) => 10110010 2: 10010010 => 01101101 (invert bits) + 00000001 (add one) => 01101110

  20. Consider the Christmas lights circuit (with states) described in class.  Let these be the expressions for the next states. • A: not A • B: A and B

  21. Fill in the table with True or False where appropriate.

  22. Fill in the table with True or False where appropriate.

  23. The “period” of a pattern is the number of steps it takes before the pattern repeats. What is the period of this pattern?

  24. The “period” of a pattern is the number of steps it takes before the pattern repeats. What is the period of this pattern? 2

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