Q. In a 4-bit binary number, what is the maximum decimal value it can represent?
Solution
A 4-bit binary number can represent values from 0 to 15, so the maximum is 15.
Correct Answer:
A
— 15
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Q. In digital circuits, what does the term 'two's complement' refer to?
-
A.
A method for binary addition
-
B.
A method for binary subtraction
-
C.
A way to represent negative numbers
-
D.
A type of logic gate
Solution
Two's complement is a method used to represent negative numbers in binary.
Correct Answer:
C
— A way to represent negative numbers
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Q. What is the binary representation of the decimal number 13?
-
A.
1101
-
B.
1011
-
C.
1110
-
D.
1001
Solution
The decimal number 13 is represented as 1101 in binary.
Correct Answer:
A
— 1101
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Q. What is the decimal equivalent of the binary number 11101?
Solution
The binary number 11101 is equivalent to 29 in decimal.
Correct Answer:
A
— 29
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Q. What is the decimal equivalent of the binary number 111?
Solution
The binary number 111 is equal to 7 in decimal.
Correct Answer:
C
— 7
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Q. What is the output of a 2-bit binary adder for inputs 11 and 01?
Solution
11 + 01 = 100 in binary, which is 4 in decimal.
Correct Answer:
D
— 100
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Q. What is the output of a 2-input AND gate when both inputs are true?
-
A.
0
-
B.
1
-
C.
undefined
-
D.
false
Solution
A 2-input AND gate outputs 1 (true) when both inputs are true.
Correct Answer:
B
— 1
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Q. What is the output of a NOT gate when the input is 1?
Solution
A NOT gate inverts the input; thus, if the input is 1, the output is 0.
Correct Answer:
A
— 0
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Q. What is the result of adding two binary numbers 1011 and 1101?
-
A.
11000
-
B.
10100
-
C.
10010
-
D.
11110
Solution
1011 + 1101 = 11000 in binary.
Correct Answer:
A
— 11000
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Q. What is the result of the binary operation 1010 - 0110?
-
A.
0010
-
B.
0100
-
C.
1000
-
D.
0000
Solution
1010 - 0110 = 0010 in binary.
Correct Answer:
A
— 0010
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Q. What is the result of the binary operation 1010 AND 1100?
-
A.
1000
-
B.
1010
-
C.
1100
-
D.
1110
Solution
The AND operation between 1010 and 1100 results in 1000.
Correct Answer:
A
— 1000
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Q. What is the result of the binary subtraction 1100 - 1010?
-
A.
0010
-
B.
0100
-
C.
0110
-
D.
1000
Solution
The binary subtraction 1100 (12 in decimal) - 1010 (10 in decimal) results in 0010 (2 in decimal).
Correct Answer:
A
— 0010
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Q. Which circuit is used to perform multiplication of binary numbers?
-
A.
Adder
-
B.
Multiplier
-
C.
Decoder
-
D.
Encoder
Solution
A multiplier circuit is specifically designed to perform multiplication of binary numbers.
Correct Answer:
B
— Multiplier
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Q. Which circuit is used to perform subtraction in digital systems?
-
A.
Adder
-
B.
Subtractor
-
C.
Multiplier
-
D.
Divider
Solution
A Subtractor is specifically designed to perform subtraction operations.
Correct Answer:
B
— Subtractor
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Q. Which logic gate is used to implement the carry function in binary addition?
-
A.
AND
-
B.
OR
-
C.
XOR
-
D.
NOT
Solution
The AND gate is used to generate the carry in binary addition.
Correct Answer:
A
— AND
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Q. Which logic gate outputs true only when both inputs are true?
-
A.
AND
-
B.
OR
-
C.
NOT
-
D.
XOR
Solution
The AND gate outputs true only when both inputs are true.
Correct Answer:
A
— AND
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Q. Which of the following is a characteristic of a binary multiplier circuit?
-
A.
It can only multiply by 2
-
B.
It uses shift and add method
-
C.
It requires no clock signal
-
D.
It can only handle 4-bit numbers
Solution
Binary multipliers often use the shift and add method to perform multiplication.
Correct Answer:
B
— It uses shift and add method
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Q. Which of the following is a characteristic of a half adder?
-
A.
Can handle carry input
-
B.
Produces sum and carry outputs
-
C.
Requires three inputs
-
D.
Is more complex than a full adder
Solution
A half adder produces sum and carry outputs but does not handle carry input.
Correct Answer:
B
— Produces sum and carry outputs
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Q. Which operation does a multiplexer perform?
-
A.
Addition
-
B.
Selection
-
C.
Subtraction
-
D.
Division
Solution
A multiplexer performs selection of one input from multiple inputs based on control signals.
Correct Answer:
B
— Selection
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