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Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
In binary addition, 1 + 1 = ________.
Convert 11001010001101012 to hexadecimal.
When performing binary addition using the 2’s complement method, an overflow can occur if
________.
both numbers have the same sign
one number is negative and the other is positive
both numbers have the same magnitude
the second number is much greater than the first
The greatest single–digit value in the octal number system equals ________.
In binary multiplication, 11 × 110 =________.
When performing binary addition using the 2’s complement method, an overflow is indicated by
a(n) ________.
Convert decimal 59.72 to BCD.
Which of the following is the most widely used code for computer input and output?
Which of the following is an invalid BCD code?
In binary systems the sign of a number is indicated by ________.
placing a negative sign in front of the number
inverting the bits if the number is negative
using a 0 (zero) bit in front of negative numbers
including a sign bit along with the magnitude bits
B
In binary subtraction, 1 – 0 = ________.
In binary addition, 10 + 11 = ________.
What is the BCD form of 735 in even parity?
What is the BCD form of 438 in odd parity?
In binary subtraction, 1 – 1 = ________.
Which of the following is not a standard digital code?
In binary multiplication, 11 × 11 =________.
How many binary digits are required to count to decimal 100?
Which of the following is based on the division of two binary numbers?
The cyclic redundancy check (CRC)
Gray code to decimal conversion
The 1’s complement of binary 101010 is ________.
The highest decimal value that can be represented by a 4–bit binary number is ________.
In binary multiplication, 1 × 1 =________.
D
The highest–value single–digit value in the decimal number system is ________.
Perform the following binary subtraction:
1100 – 0111 = ________.
In binary addition, 1 + 0 = ________.
In binary division, 1001 ÷ 11 =________.
Decimal 42 is equivalent to binary ________.
Convert 8B3F16 to binary.
In binary multiplication, 1 × 0 =________.
In the decimal value 4256, the weight of the numeral 2 is ________.
Which of the following statements accurately describes the Gray code?
It is used primarily for shaft position encoding.
It is not an arithmetic code.
It exhibits only a single–bit change from one value to the next.
All of these statements accurately describe the Gray code.
In binary addition, 0111 + 0001 = ________.
In binary subtraction, 100 – 001 = ________.
C
All digital systems which perform arithmetic operations must indicate ________ and ________ for
numbers.
Perform the following binary subtraction:
11011 – 111 = ________.
Perform the following binary subtraction:
101 – 11 = ________.
The Hamming code is a(n) ________.
octal version of the BCD code
an updated version of the ASCII code
In the decimal value 42.56, the weight of the numeral 6 is ________.
What decimal number does 25 represent?
The highest single–digit value in the hexadecimal number system equals ________.
The cyclic redundancy check is used to detect ________.
one–bit and two–bit parity errors
information that is repeated
one–bit and two–bit data transmission errors
operation cycles that are performed more than once
The 2’s complement of binary 110110 is ________.
In binary division, 1000 ÷ 0100 =________.
TRUE/FALSE. Write ‘T’ if the statement is true and ‘F’ if the statement is false.
The binary number system is fundamental to all digital computers.
Explanation:
The decimal value of binary 1011 can be determined by solving the following expression:
1 ×23+0 ×22+1 ×21+1 ×20.
Repeated division–by–10 can be used to convert decimal numbers to binary numbers.
The 1′s complement of binary 10111 is 01000.
The decimal number system consists of the symbols 0–10.
The binary number system consists of the symbols 0 and 1.
The ASCII and Gray codes serve very similar purposes.