Modern Digital Systems ECE 2372 Study Review Chapters 1.1-2.8

What is the binary representation of the decimal number 58?

• 110110

• 111010

• 101010

• 111100

What is the hexadecimal equivalent of the binary number 11011010?

• DA

• B9

• 9A

• C8

How is two's complement used in signed binary numbers?

• • A. It flips all bits of the number.

• • B. It adds an extra bit to the number.

• • C. It represents positive and negative numbers by flipping bits and adding 1

• D. It multiplies the number by 2

What is the result of the binary addition: 101101 + 110010?

• A. 101111

• B. 1011001

• C. 1101111

• D. 110011

What is the result of 110111 - 101011 using two's complement?

• A. 001100

• B. 011100

• 100100

• 010100

Which of the following is the simplified form of the Boolean expression A′B+AB+A′B′

• A. A′B+AB

• B. A+B′

• C. B+A′

• D. AB+A′B′

Which of the following expressions represents De Morgan’s Theorem for A+BC

• A. A′+B′C′

• B. A′B′+C

• C. A′⋅B′+C′

• D.A′⋅(B′+C)

Which logic gate outputs 1 only when both inputs are 1?

• A. OR

• B. AND

• • C. XOR

• D. NOR

What is the output of a 2-input XOR gate when both inputs are 1?

• A. 1

• B. 0

• C. Undefined

• D. 1 if complemented

How many output lines does a 2-to-4 decoder have?

• A. 2

• B. 3

• C. 4

• D. 6