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ENGR3520HomeworkChapter7

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
The binary addition of 0 + 1 =
a.
sum = 1
carry = 1
b.
sum = 1
carry = 0
c.
sum = 0
carry = 0
d.
sum = 0
carry = 1
 

 2. 
The binary addition of 1 + 0 =
a.
sum = 0
carry = 0
b.
sum = 1
carry = 1
c.
sum = 1
carry = 0
d.
sum = 0
carry = 1
 

 3. 
The binary addition of 1 + 1 + 1 =
a.
sum = 1
carry = 1
b.
sum = 1
carry = 0
c.
sum = 0
carry = 1
d.
sum = 0
carry = 0
 

 4. 
Solve this binary problem:      0110
      + 0011
a.
1000
c.
0111
b.
0100
d.
1001
 

 5. 
Solve this binary problem:      1000
      +1001
a.
11001
c.
1111
b.
10001
d.
10111
 

 6. 
Solve this binary problem:      1111
      +1001
a.
1111
c.
11000
b.
11111
d.
10111
 

 7. 
Solve this binary problem:      0010
      +1101
a.
10001
c.
1011
b.
1111
d.
10000
 

 8. 
Solve this binary problem:      0110
      +0110
a.
1100
c.
1110
b.
10010
d.
10110
 

 9. 
Solve this binary problem:      00010111
      +00101001
a.
00101111
c.
01000000
b.
01100000
d.
00110011
 

 10. 
Solve this binary problem:      10001011
      +00111010
a.
11001100
c.
11000101
b.
10111110
d.
10111111
 

 11. 
The binary subtraction 0 - 0 =
a.
difference = 0
borrow = 0
b.
difference = 0
borrow = 1
c.
difference = 1
borrow = 0
d.
difference = 1
borrow = 1
 

 12. 
The binary subtraction 0 - 1 =
a.
difference = 0
borrow = 0
b.
difference = 0
borrow = 1
c.
difference = 1
borrow = 0
d.
difference = 1
borrow = 1
 

 13. 
The binary subtraction 1 - 0 =
a.
difference = 0
borrow = 1
b.
difference = 1
borrow = 0
c.
difference = 1
borrow = 1
d.
difference = 0
borrow = 0
 

 14. 
The binary subtraction 1 - 1 =
a.
difference = 0
borrow = 0
b.
difference = 1
borrow = 1
c.
difference = 1
borrow = 0
d.
difference = 0
borrow = 1
 

 15. 
Solve this binary problem:      0110
      -0010
a.
0110
c.
0100
b.
1000
d.
0011
 

 16. 
Solve this binary problem:      1000
      -0001
a.
1001
c.
0101
b.
0111
d.
0110
 

 17. 
Solve this binary problem:      0011
      -0001
a.
0010
c.
0001
b.
0011
d.
0000
 

 18. 
Solve this binary problem:      1011
      -0101
a.
0101
c.
0110
b.
1010
d.
1000
 

 19. 
Solve this binary problem:      1010
      -0100
a.
1111
c.
1000
b.
0110
d.
1010
 

 20. 
Solve this binary problem:      01110000
      -00011000
a.
01101000
c.
01010000
b.
00011000
d.
01011000
 

 21. 
Solve this binary problem:      0101
      ×0011
a.
1011
c.
1111
b.
0011
d.
0111
 

 22. 
Solve this binary problem:      0110
      ×1001
a.
00110000
c.
00111000
b.
00110110
d.
00011110
 

 23. 
Solve this binary problem:      0110
      ÷0010
a.
0101
c.
0010
b.
0011
d.
0111
 

 24. 
Solve this binary problem:      01000110
      ÷00001010
a.
10011
c.
0111
b.
0011
d.
1001
 

 25. 
The maximum value that can be represented by an eight-bit binary number is
a.
128.
c.
255.
b.
100.
d.
225.
 

 26. 
The sign bit is
a.
found in the MSB position.
c.
0 for positive.
b.
1 for negative.
d.
all of the above
 

 27. 
The range of positive numbers possible in an eight-bit two's complement system is
a.
0 to 100.
c.
0 to 256.
b.
0 to 127.
d.
0 to 64.
 

 28. 
What is the two's complement of 01001110?
a.
10111111
c.
10110010
b.
00111110
d.
10011110
 

 29. 
What is the two's complement of 00001111?
a.
11110111
c.
11111111
b.
11110001
d.
11110000
 

 30. 
How is -110 represented in eight-bit two's complement notation?
a.
11110111
c.
11110001
b.
11111110
d.
11111111
 

 31. 
When using signed two's complement notation, what is the decimal value of 11110001?
a.
-35
c.
-19
b.
+175
d.
-15
 

 32. 
What is the hexadecimal symbol for decimal 10?
a.
H
c.
B
b.
C
d.
A
 

 33. 
What is the hexadecimal symbol for decimal 15?
a.
H
c.
A5
b.
F
d.
E
 

 34. 
Solve this BCD problem:      1000
      +0010
a.
0000 1010BCD
c.
0001 0000BCD
b.
0001 0010BCD
d.
0001 1000BCD
 

 35. 
Solve this BCD problem:      0101
      +0110
a.
0000 1001BCD
c.
0001 0111BCD
b.
0001 0001BCD
d.
0001 0011BCD
 

 36. 
Two's complement representation can represent
a.
negative numbers.
c.
both positive and negative numbers.
b.
only numbers greater than 8 bits.
d.
positive numbers.
 

 37. 
When borrowing for hexadecimal subtraction; you are borrowing
a.
2.
c.
16.
b.
8.
d.
32.
 

 38. 
The two's complement of the binary number 01011010mc038-1.jpg is ________.
a.
10100101mc038-2.jpg
c.
10100101mc038-4.jpg
b.
10100100mc038-3.jpg
d.
01100101mc038-5.jpg
 

 39. 
The binary addition of 1 + 1 + 1 + 1 = ________.
a.
000mc039-1.jpg
c.
111mc039-3.jpg
b.
010mc039-2.jpg
d.
100mc039-4.jpg
 



 
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