Digital Arithmetic Operations and Circuits

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Q. In a 4-bit binary number, what is the maximum decimal value it can represent?
  • A. 15
  • B. 16
  • C. 14
  • D. 8
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
Q. What is the binary representation of the decimal number 13?
  • A. 1101
  • B. 1011
  • C. 1110
  • D. 1001
Q. What is the decimal equivalent of the binary number 11101?
  • A. 29
  • B. 30
  • C. 31
  • D. 28
Q. What is the decimal equivalent of the binary number 111?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. What is the output of a 2-bit binary adder for inputs 11 and 01?
  • A. 00
  • B. 10
  • C. 11
  • D. 100
Q. What is the output of a 2-input AND gate when both inputs are true?
  • A. 0
  • B. 1
  • C. undefined
  • D. false
Q. What is the output of a NOT gate when the input is 1?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. What is the result of adding two binary numbers 1011 and 1101?
  • A. 11000
  • B. 10100
  • C. 10010
  • D. 11110
Q. What is the result of the binary operation 1010 - 0110?
  • A. 0010
  • B. 0100
  • C. 1000
  • D. 0000
Q. What is the result of the binary operation 1010 AND 1100?
  • A. 1000
  • B. 1010
  • C. 1100
  • D. 1110
Q. What is the result of the binary subtraction 1100 - 1010?
  • A. 0010
  • B. 0100
  • C. 0110
  • D. 1000
Q. Which circuit is used to perform multiplication of binary numbers?
  • A. Adder
  • B. Multiplier
  • C. Decoder
  • D. Encoder
Q. Which circuit is used to perform subtraction in digital systems?
  • A. Adder
  • B. Subtractor
  • C. Multiplier
  • D. Divider
Q. Which logic gate is used to implement the carry function in binary addition?
  • A. AND
  • B. OR
  • C. XOR
  • D. NOT
Q. Which logic gate outputs true only when both inputs are true?
  • A. AND
  • B. OR
  • C. NOT
  • D. XOR
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
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
Q. Which operation does a multiplexer perform?
  • A. Addition
  • B. Selection
  • C. Subtraction
  • D. Division
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