Deck 2: Number Systems and Codes

Question 1

Convert 11001101₂ to its decimal equivalent using the sum- of- weights position method.

A) 409
B) 205
C) 410
D) 207

Answer 1

205

Question 2

The binary equivalent for DFA₁₆ is:

A) 011011011011₂
B) 111101100101₂
C) 110111111010₂
D) 111010111010₂

Answer 2

110111111010₂

Question 3

Convert the decimal value 1079 to binary.

A) 10000110111₂
B) 11000010111₂
C) 10010100111₂
D) 10000010111₂

Answer 3

10000110111₂

Question 4

Select the correct transmission code group for a hexadecimal value of 52 if the even parity method of error detection is used. The parity bit is to the left of the code MSB.

A) 1101000
B) 01010001
C) 01010010
D) 11010010

Question 5

Convert 111111111₂ to its decimal equivalent.

A) 1,023
B) 255
C) 511
D) 2,047

Question 6

Because all the bit positions in the preceeding problem contain 1s, the simplest approach to completing the conversion for the above problem would be to:

A) determine the number of bits, raise 2 to that value and then subtract 1.
B) determine the weight of the MSB and add 1 to that value.
C) determine the weight of each of the bit positions and sum the results.
D) simply determine the weight of the MSB.

Question 7

What is the decimal equivalent of 74A₁₆?

A) 1,579
B) 29,856
C) 1,866
D) 3,512

Question 8

The decimal equivalent of E₁₆ is:

A) 13
B) 12
C) 14
D) 15

Question 9

The ASCII code is an alphanumeric code that has 2^{7 =} 128 possible code groups. How many bits are required to accommodate 128 different code groups?

A) 8
B) 9
C) 7
D) 6

Question 10

Which of the following represents the correct counting sequence from 9FE₁₆?

A) 9FF, 1A00, 1A01, 1A02, 1A03, 1A04
B) 9FF, 1AF0, 1AF1, 1AF2, 1AF3, 1AF4
C) AFF, 1AF0, 1AF1, 1AF2, 1AF3, 1AF4
D) 9FF, A00, A01, A02, A03, A04

Question 11

What is the primary advantage of using the BCD code in place of straight binary coding?

A) BCD codes are easily converted to hexadecimal codes.
B) The relative ease of converting to and from decimals.
C) Fewer bits are required to represent a decimal number with the BCD code.
D) BCD codes are easily converted to straight binary codes.

Question 12

What is the decimal weight of the MSB in a 12- bit number?

A) 2,048
B) 8,192
C) 4,096
D) 1,024

Question 13

The hexadecimal equivalent of 15,907₁₀ is:

A) 3B23
B) 3C23
C) 3D23
D) 3E23

Question 14

How many BCD bits and how many straight- binary bits would be required to represent the decimal number 643?

A) 12 BCD, 12 binary
B) 12 BCD, 9 binary
C) 12 BCD, 10 binary
D) 16 BCD, 9 binary

Question 15

When using the division- by- 2 method of converting from decimal to binary, the first remainder represents the:

A) MSB of the equivalent binary value, providing the following sequence of remainders are written in descending order until the final remainder is achieved. The final remainder is used to replace the original MSB which is discarded.
B) MSB of the equivalent binary value.
C) LSB of the equivalent binary value, providing the final remainder is used to replace the original LSB, which is then moved to the MSB position.
D) LSB of the equivalent binary value.

Question 16

Which of the following represents the correct counting sequence from FEE₁₆?

A) FED, FEC, FEB, FEA, FEA, FFB
B) FEF, FF0, FF1, FF2, FF3, FF4
C) FF0, FF1, FF2, FF3, FF4, FF5
D) FEF, FFF, 1FF0, 1FF1, 1FF2, 1FF3

Question 17

Select the correct ASCII code representation of the hexadecimal number 5A.

A) 011 0000
B) 101 1000
C) 101 1010
D) 101 1001

Question 18

The binary equivalent for 169₁₀ is:

A) 11010111
B) 11101101
C) 10101001
D) 011111011

Question 19

The hexadecimal equivalent for 1100 1010 0111 1001₂ is:

A) CA79
B) DA87
C) DA79
D) CA87

Question 20

Which of the following statements BEST describes parity checking?

A) Parity checking is not suitable for detecting single- bit errors in transmitted codes.
B) Parity checking is capable of detecting and correcting errors in transmitted codes.
C) Parity checking is best suited for detecting single- bit errors in transmitted codes.
D) Parity checking is best suited for detecting double- bit errors that occur during the transmission of codes from one location to another.

Question 21

What is the binary equivalent of the decimal value 437?

A) 11111100
B) 101111111
C) 110110101
D) 101101011

Question 22

How many different numbers can be represented using eight bits?

A) 256
B) 128
C) 64
D) 512
E) none of the above

Question 23

How many bytes are in the hexadecimal number 7CBD03?

A) 3
B) 5
C) 4
D) 6
E) none of the above

Question 24

A computer with a 32- bit address bus is capable of generating___________addresses.

A) 256,000,000
B) 4,294,967,296
C) 128,000,000
D) 1,048,576

Question 25

The major cause of transmission errors between the transmitter and receiver is:

A) electrical noise.
B) even parity errors.
C) transmitter encoding procedure malfunctions.
D) odd parity errors.

Question 26

Which of the following groups of codes represent all the invalid BCD codes?

A) 1000, 1001, 1010, 1011, 1100, 1101
B) 1010, 1011, 1100, 1101, 1110, 1111
C) 1000, 1001, 1010, 1011, 1100, 1110
D) 1001, 1010, 1011, 1100, 1101, 1110

Question 27

The hexadecimal equivalent of 01111011101₂ is:

A) 7B5
B) 3DD
C) DD3
D) 5B7

Question 28

Which of the following is a weighted value positional numbering system?

A) binary coded decimal
B) binary
C) ASCII
D) Gray code

Question 29

Alphanumeric codes should include at least:

A) the alphabet upper and lowercase letters, the decimal digits, the 7 punctuation marks, and other characters or symbols.
B) the capacity to code all possible decimal numbers in a direct octal representation of BCD codes.
C) the ability to represent decimal numbers greater then 128₁₀ in a straight binary format.
D) the capacity to represent the alphabet upper and lowercase characters and the decimal numbers in a straight binary format.

Question 30

What is the decimal equivalent of AF16_16?

A) 44,821
B) 44,822
C) 127,425
D) 127,426

Question 31

Convert the BCD number 0011 0111 0101 1001 to its decimal equivalent.

A) 14,169
B) 3,759
C) 14,168
D) 3,758

Question 32

The decimal number 208,973 has a hexadecimal equivalent of:

A) 33,3D1
B) 33,04D
C) 630,115
D) 631,721

Question 33

The uppercase letter Q has an ASCII code of 101 0001. What is the hexadecimal representation of this value?

A) 4E
B) 4F
C) 51
D) 50

Question 34

How many bytes are required to represent the decimal number 107 in binary?

A) 3
B) 2
C) 4
D) 1

Question 35

How many different numbers can be obtained using five binary bits?

A) 31
B) 32
C) 63
D) 64

Question 36

What is the largest decimal number that can be represented using five binary bits?

A) 31
B) 63
C) 64
D) 32

Question 37

What is the decimal equivalent of the binary number 110011₂?

A) 39
B) 49
C) 51
D) 29

Question 38

Which of the following decimal numbers is represented by the binary bits 1011₂?

A) 11
B) 13
C) 15
D) 9

Question 39

What is the minimum number of binary bits required to represent a count of 175₁₀?

A) 5
B) 7
C) 8
D) 6

Question 40

What is the largest decimal value that can be represented using nine binary bits?

A) 1023
B) 512
C) 511
D) 1024

Question 41

Having counted up to 1001101₂, what value comes next?

A) 1100010₂
B) 1001110₂
C) 1010010₂
D) 1110010₂

Question 42

What is another name for a number detector?

A) counter
B) demultiplexer
C) decoder
D) multiplexer

Question 43

The purpose of the bus in microprocessor- based systems is to:

A) ensure that 12 MHz signals are transmitted.
B) provide standard mechanical connection.
C) allow the industry to build standard products.
D) allow the various parts of the system to communicate using well- defined signal paths.

Question 44

A device used to display one or more digital signals so that they can be compared to expected timing diagrams for the signals is a:

A) low capacitance probe.
B) frequency counter.
C) logic analyzer.
D) DMM.

Question 45

Using a special group of symbols to represent numbers, letters, or words is called:

A) American Standard Code for Information Interchange.
B) Encoding.
C) Alphanumeric Code.
D) Straight Binary Code.

Question 46

How many bits are required to code each digit using the BCD numbering system?

A) 8
B) 6
C) 4
D) 2

Question 47

What numbering system is used as a "shorthand" way of representing strings of bits?

A) Decimal
B) Hexadecimal
C) Binary
D) BCD

Question 48

A computer must recognize codes that represent letters of the alphabet, punctuation marks, and other special characters as well as numbers. What is this code called?

A) Encoding
B) Alphanumeric Code
C) Straight Binary Code
D) American Standard Code for Information Interchange

Question 49

Where is a parity bit usually placed in a string of bits?

A) to the left of the MSB
B) in the middle of the group
C) to the left of the LSB
D) to the right of the MSB

Question 50

___________occurs when the receiver examines the data that it has received from the transmitter.

A) Parity checking
B) Electrical noise
C) Parity bit
D) Parity method

Question 51

When dealing with a large binary number, it is usually easier to write the number as a string of bits rather than go through the complicated process of converting the binary number to hexadecimal.

Question 52

The hexadecimal equivalent of a decimal number contains more digits than the original decimal number.

Question 53

Zeros must be added to the left of the MSB to produce even groups of 4 bits when converting from binary to hexadecimal.

Question 54

The decimal number 271 can be converted to an 8- bit equivalent.

Question 55

Many digital electronic systems work in hexadecimal rather than binary.

Question 56

There are only two steps in analog- to- digital conversion.

Question 57

The output unit of a PC performs calculation and logical decisions.

Question 58

1100₂ = 12₁₀

Question 59

1111₂ = 10₁₀

Question 60

A CD stores information in analog form.

Question 61

In a digital system, three or four numbering systems may be in use at the same time.

Question 62

A bit consists of 8 bytes.

Question 63

A parity bit is an extra bit that is attached to a code group that is being transferred from one location to another.

Question 64

The binary equivalent of 3710 is 111001111110.

Question 65

Numbers that are greater than 9 are represented by the letters G, H, I, J, K, and L in the hex system.

Question 66

Integrated circuits (ICs) are also referred to as discrete component circuits.

Question 67

Binary digits are called bits.

Question 68

Transistor- transistor logic (TTL) uses the bipolar transistor as its main circuit element.

Question 69

The weight of the MSB in a 5- bit number is___________.

Question 70

Each hexadecimal digit converts to ___________binary digits.

Question 71

In BCD, the decimal number 93 converts to___________digits.

Question 72

In binary, the decimal number 93 converts to___________digits.

Question 73

The ___________code represents alphanumeric characters as seven bit binary numbers.

Question 74

In an even parity scheme, each byte should contains a(n)___________ number of ones.

Question 75

Adding a zero to the leftmost bit of an ASCII code is called zero ___________.

Question 76

The digit that changes most often when counting is called the ___________.

Question 77

The acronym ASCII stands for American Standard Code for Information___________.

Question 78

The binary equivalent of 37 is___________.

Question 79

BCD stands for___________.

Question 80

The most widely used scheme for data transmission error detection is called the ___________ method.