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Digital Electronics
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Digital Arithmetic Operations and Circuits
Comments
Question
The most commonly used system for representing signed binary numbers is the:
Options
A. 2's-complement system.
B. 1's-complement system.
C. 10's-complement system.
D. sign-magnitude system.
Correct Answer
2's-complement system.
Digital Arithmetic Operations and Circuits problems
Search Results
1. What is the major difference between half-adders and full-adders?
Options
A. Nothing basically; full-adders are made up of two half-adders.
B. Full adders can handle double-digit numbers.
C. Full adders have a carry input capability.
D. Half adders can handle only single-digit numbers.
Show Answer
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Discuss
Correct Answer: Full adders have a carry input capability.
2. How many inputs must a full-adder have?
Options
A. 4
B. 2
C. 5
D. 3
Show Answer
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Discuss
Correct Answer: 3
3. Convert each of the decimal numbers to two's-complement form and perform the addition in binary.
+13
?10
add
?7
add
+15
Options
A. 0001 0100 0000 0101
B. 0000 0110 0001 1001
C. 0000 0110 0000 0101
D. 1111 0110 1111 0101
Show Answer
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Discuss
Correct Answer: 0000 0110 0000 0101
4. The decimal value for E
16
is:
Options
A. 12
10
B. 13
10
C. 14
10
D. 15
10
Show Answer
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Discuss
Correct Answer: 14
10
5. Half-adders can be combined to form a full-adder with no additional gates.
Options
A. True
B. False
Show Answer
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Correct Answer: False
6. When performing subtraction by addition in the 2's-complement system:
Options
A. the minuend and the subtrahend are both changed to the 2's-complement.
B. the minuend is changed to 2's-complement and the subtrahend is left in its original form.
C. the minuend is left in its original form and the subtrahend is changed to its 2's-complement.
D. the minuend and subtrahend are both left in their original form.
Show Answer
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Correct Answer: the minuend is left in its original form and the subtrahend is changed to its 2's-complement.
7. A full-adder adds ________.
Options
A. two single bits and one carry bit
B. two 2-bit binary numbers
C. two 4-bit binary numbers
D. two 2-bit numbers and one carry bit
Show Answer
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Discuss
Correct Answer: two single bits and one carry bit
8. Add the following hexadecimal numbers.
3C
14
3B
+25
+28
+DC
Options
A. 60 3C 116
B. 62 3C 118
C. 61 3C 117
D. 61 3D 117
Show Answer
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Correct Answer: 61 3C 117
9. Multiply the following binary numbers.
1010
1011
1001
×0011
×0111
×1010
Options
A. 0001 1110 0100 1101 0101 1011
B. 0001 1110 0100 1100 0101 1010
C. 0001 1110 0100 1101 0101 1010
D. 0001 1101 0100 1101 0101 1010
Show Answer
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Correct Answer: 0001 1110 0100 1101 0101 1010
10. Convert the decimal numbers 275 and 965 to binary-coded decimal (BCD) and add. Select the BCD code groups that reflect the final answer.
Options
A. 1101 1110 1010
B. 1110 1010 1110
C. 0001 0010 0100 0000
D. 0010 0011 0100 0000
Show Answer
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Discuss
Correct Answer: 0001 0010 0100 0000
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