Deck 2: Number Systems, Operations, and Codes

Question 1

The decimal number system consists of the symbols 0- 10.

Answer 1

False

Question 2

The binary number system is fundamental to all digital computers.

Answer 2

True

Question 3

Repeated division- by- 10 can be used to convert decimal numbers to binary numbers.

Answer 3

False

Question 4

The decimal value of binary 1011 can be determined by solving the following expression: 1 × 2³ + 0 × 2² + 1 × 2¹ + 1 × 2⁰.

Question 5

The 1's complement of binary 10111 is 01000.

Question 6

The ASCII and Gray codes serve very similar purposes.

Question 7

The highest- value single- digit value in the decimal number system is _________.

A) 10
B) 1
C) ?
D) 9

Question 8

In the decimal value 4256, the weight of the numeral 2 is _________.

A) 10 × 2²
B) 10²
C) 10³
D) 200

Question 9

In the decimal value 42.56, the weight of the numeral 6 is _________.

A) 10^{- 2}
B) 0.06
C) 6 × 2^{- 2}
D) 10^{- 1}

Question 10

The highest decimal value that can be represented by a 4- bit binary number is _________ .

A) 15
B) 7
C) 8
D) 32

Question 11

How many binary digits are required to count to decimal 100?

A) 2
B) 100
C) 7
D) 3

Question 12

What decimal number does 2⁵ represent?

A) 32
B) 25
C) 31
D) 10

Question 13

Decimal 42 is equivalent to binary _________.

A) 2A
B) 101010
C) 01000010
D) 52

Question 14

In binary addition, 1 + 0 = _________.

A) 1 with a carry of 0
B) 0 with a carry of 1
C) 1 with a carry of 1
D) 0 with a carry of 0

Question 15

In binary addition, 1 + 1 = _________.

A) 1 with a carry of 1
B) 1 with a carry of 0
C) 0 with a carry of 1
D) 0 with a carry of 0

Question 16

In binary addition, 10 + 11 = _________.

A) 111
B) 21
C) 101
D) 11

Question 17

In binary addition, 0111 + 0001 = _________.

A) 111
B) 1110
C) 1000
D) 1001

Question 18

In binary subtraction, 1 - 0 = _________.

A) 0 with a borrow 0
B) 1 with a borrow of 0
C) 1 with a borrow of 1
D) 0 with a borrow of 1

Question 19

In binary subtraction, 1 - 1 = _________.

A) 0 with a borrow 0
B) 0 with a borrow of 1
C) 1 with a borrow of 0
D) 1 with a borrow of 1

Question 20

In binary subtraction, 100 - 001 = _________.

A) 10
B) 11
C) 00
D) 1001

Question 21

Perform the following binary subtraction: 1100 - 0111 = _________.

A) 110
B) 101
C) 010
D) 11110

Question 22

Perform the following binary subtraction: 101 - 11 = _________.

A) 110
B) 010
C) 001
D) 111

Question 23

Perform the following binary subtraction: 11011 - 111 = _________.

A) 10111101
B) 10100
C) 0011
D) 100010

Question 24

In binary multiplication, 1 × 0 = _________ .

A) 1
B) 0
C) 0 with a carry of 1
D) 1 with a carry of 0

Question 25

In binary multiplication, 1 × 1 = _________.

A) 0
B) 0 with a carry of 1
C) 1 with a carry of 1
D) 1

Question 26

In binary multiplication, 11 × 11 = _________.

A) 1001
B) 11
C) 1111
D) 110

Question 27

In binary multiplication, 11 × 110 = _________.

A) 10110
B) 11001
C) 11111
D) 10010

Question 28

In binary division, 1001 ÷ 11 =_________.

A) 00
B) 11
C) 01
D) None of these

Question 29

In binary division, 1000 ÷ 0100 = _________.

A) 0010
B) 0001
C) 0100
D) None of these

Question 30

The 1's complement of binary 101010 is _________.

A) 010110
B) 110111
C) 010101
D) 101011

Question 31

The 2's complement of binary 110110 is _________.

A) 001010
B) 001001
C) 110100
D) 101010

Question 32

All digital systems which perform arithmetic operations must indicate _________and _________for numbers.

A) sign, base
B) size, base
C) magnitude, base
D) sign, magnitude

Question 33

In binary systems the sign of a number is indicated by _________ .

A) using a 0 (zero) bit in front of negative numbers
B) inverting the bits if the number is negative
C) placing a negative sign in front of the number
D) including a sign bit along with the magnitude bits

Question 34

When performing binary addition using the 2's complement method, an overflow can occur if_________.

A) both numbers have the same magnitude
B) one number is negative and the other is positive
C) the second number is much greater than the first
D) both numbers have the same sign

Question 35

When performing binary addition using the 2's complement method, an overflow is indicated by a(n)_________.

A) negative sign
B) incorrect sum
C) incorrect polarity
D) incorrect sign bit

Question 36

The greatest single- digit value in the octal number system equals_________.

A) 1
B) 7
C) 8
D) 9

Question 37

The highest single- digit value in the hexadecimal number system equals_________.

A) 4
B) 8
C) 15
D) 0

Question 38

Convert 1100101000110101₂ to hexadecimal.

A) CA35
B) 530121
C) 53AC1
D) 121035

Question 39

Convert 8B3F₁₆ to binary.

A) 35647
B) 1011001111100011
C) 1000101100111111
D) 011010

Question 40

Which of the following is an invalid BCD code?

A) 1001
B) 0011
C) 0101
D) 1101

Question 41

Convert decimal 59.72 to BCD.

A) 1110.11
B) 0101100101110010
C) 01011001.01110010
D) 111011

Question 42

Which of the following is not a standard digital code?

A) ASCII
B) Gray
C) ARRL
D) BCD

Question 43

Which of the following statements accurately describes the Gray code?

A) It is used primarily for shaft position encoding.
B) It is not an arithmetic code.
C) It exhibits only a single- bit change from one value to the next.
D) All of these statements accurately describe the Gray code.

Question 44

Which of the following is the most widely used code for computer input and output?

A) EBCDIC
B) ASCII
C) parity
D) Gray

Question 45

What is the BCD form of 438 in odd parity?

A) 1000001101000
B) 0100000110100
C) 0100001110001
D) 1010000111000

Question 46

What is the BCD form of 735 in even parity?

A) 0101001101110
B) 0111001101011
C) 1010100110111
D) 0011100110101

Question 47

Which of the following is based on the division of two binary numbers?

A) Hamming code conversion
B) Gray code to decimal conversion
C) ASCII decoding
D) The cyclic redundancy check (CRC)

Question 48

The Hamming code is a(n) _________.

A) error correction code
B) an updated version of the ASCII code
C) encryption code
D) octal version of the BCD code

Question 49

The cyclic redundancy check is used to detect _________.

A) operation cycles that are performed more than once
B) one- bit and two- bit data transmission errors
C) information that is repeated
D) one- bit and two- bit parity errors