Chapter 3 PLC

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The radix of a number system is the same as the base.

True

In any number system, the position of a digit that represents part of the number has a weighted value associated with it.

True

In the Gray code there is a maximum of one bit change between two consecutive numbers.

True

The base of a number system determines the total number of unique symbols used by that system

True

The hexadecimal number system consists of 16 digits including the numbers 0 through 9 and letters A through F

True

The octal number system consists of digits 0,1,2,3,4,5,6, and 7. There are no 8s and 9s.

True

Without floating point, a PLC word can only represent an integer or whole number.

True

all digital computing devices perform operations in binary

True

Subtract binary 11101 from 111010

-011101

the only allowable digits in the binary number system are ________ and ________.

0,1

The decimal number 213 would be written in BCD as

0010 0001 0011

The hexadecimal number 2D9 would be written in binary as

0010 1101 1001

Add binary 11101 and 1100

0101001

Multiply binary 110 and 111

0101010

Divide binary 11010 by 10

01101

Figure 3-2 represents a memory size of

1 K

The decimal system has as its base

10

If a given memory unit consists of 1250 sixteen-bit words, the memory capacity would be rated

20,000 bits

The octal number 46 expressed as a decimal number would be ______.

38

The binary number 101101 would be written in decimal as

45

Hexadecimal 2F equals ______ in decimal

47

The binary number 101 has the decimal equivalent of

5

The octal number 62 would be written in decimal as

50

For a base 8 number system, the weight value associated with the third digit would be

512

The BCD number 1000 0101 0110 0111 equals ________ in decimal.

8567

Which of the following number systems has a base of 16?

Hexadecimal

all digital computing devices operate using the binary number system because

Digital circuits can be easily distinguished between two voltage levels

A base of 10 is

decimal

The ASCII codes includes

includes letters as well as numbers

In the sign bit position, a 1 indicated a(n)

negative number

Two systems of a parity are normally used: ________ and ________

odd, even

The main advantage of using the Gray code is

only one digit changes as the number increases

In any number system, the position of a digit that represents part of the number has a "weight" associated with its value. The place weights for binary,

start with 1 and are successive powers of 2.

The hexadecimal number C4 would be written in decimal as

196

The 2s complement form of a binary number is the binary number that results when

1 is added to the 1s complement

The octal number 153 would be written in binary as

10011001

Hexadecimal A6 equals ______ in binary

10100110

A memory that has a capacity of 700 sixteen-bit words can actually store _______ bits of information.

11,200 Bits

The octal number 153 expressed as a binary number would be _________.

1101011

The decimal number 28 would be written in binary as

11100

The decimal number 29 equals (A) _______ in binary and (b) _______ in BCD

11101,00101001

The decimal number 15 would be written in binary as

1111

The number 12 is

12 in decimal

A base of 2 is

Binary

PLCs work on_____ numbers in one form or another to represent various code quantities

Binary

Each digit of a binary number is known as a ________

Bit

Binary number systems use positive and negative symbols to represent the polarity of a number.

False

The decimal number uses the number 9 as its base.

False

To express a number in binary requires fewer digits than in the decimal system.

False

Usually a group of 8 bits is a byte, and a group of one or more bytes is a word.

False

A base of 16 is

Hexadecimal

The ______ bit of a word is the digit that represents the smallest value.

LSB (Least significant bit)

With reference to processor memory locations, the term register is often used interchangeable with ________.

Locations

One byte of the data shown in Figure 3-1 is represented by

No.1

The MSB of the data shown in Figure 3-1 is represented by

No.2

A base of 8 is

Octal

The three basic compare instructions are

Sign, mantissa, exponent

The three basic of a floating point number are _____, ______, ______.

Sign, mantissa, exponent

The number 127 could not be

binary

The acronym BCD stands for

binary-coded decimal

A(n)__________ bit is used to detect errors that may occur while a word is moved.

parity


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