Assignment 4 Sample problems
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Assignment 4 Sample problems
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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 - PowerPoint PPT Presentation
Transcript of 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= 23
=>1000 920 =>512*1+256*1+128*1+16*1+8*1 => 29 +28 +27 +24 +23
=>1110011000
Convert the following Binary numbers to Decimal.
110100
100110011
Convert the following Binary numbers to Decimal.
110100 =>52100110011
=>307
How can we get ?
110100 => 1* 25 +1*24 +1*22
=52 100110011 =>1* 28 +1*25 +1* 24+1* 21+1* 20
= 307
Add the following binary numbers. Express your answers in binary.
101+011=?
11010+10001=?
Add the following binary numbers. Express your answers in binary.
101+011=1000
11010+10001=101011
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
Subtract the following binary numbers. Express your answers in binary.
101-001=?
11010-01001=?
Subtract the following binary numbers. Express your answers in binary.
101-001=100
11010-01001=10001
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
Is this statement True or False?
If I have an 8-bit system, 10111001 + 00110000 will result in overflow.
Is this statement True or False?
If I have an 8-bit system, 10111001 + 00110000 will result in overflow.
False
How can we get ?
1. 10111001 + 00110000Þ 10111001+ 00110000Þ 11101001
The result is still 8-bit, so the answer is False
Provide the two's complement of the following 8-bit numbers.
01001110
10010010
Provide the two's complement of the following 8-bit numbers.
01001110 => 10110010
10010010 => 01101110
How can we get ?1: 01001110 => 10110001 (invert bits) + 00000001 (add one) => 101100102: 10010010
=> 01101101 (invert bits) + 00000001 (add one) => 01101110
• 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
Fill in the table with True or False where appropriate.Time Step (sec)
A B New A New B
0 False False True False
1 True False
2
3
Fill in the table with True or False where appropriate.Time Step (sec)
A B New A New B
0 False False True False
1 True False False False
2 False False True False
3 True False False False
The “period” of a pattern is the number of steps it takes before the pattern repeats. What is the period of this pattern?
The “period” of a pattern is the number of steps it takes before the pattern repeats. What is the period of this pattern?
2
