PLC’s Chapter 3. Number Systems and Codes
Numeric symbols for a binary number system are ____.
0 and 1
0000 1010 as a decimal number would be ____.
0.625
One's complement of binary number 11011100 is ____.
00100011
In binary addition, 1+1+1 is equal to ____.
1 with a carry of 1
In decimal number 923.167, the weight of 2 is ____.
10
Convert decimal 65 to hexadecimal.
1000001
Convert binary 01100101 to decimal.
101
Which one of the following numbers is an incorrect binary coded decimal number?
1010
Select the 621 odd-parity BCD number transmitted in the serial communication system:
10110 0010 0001
In decimal number 875.123, the weight of 3 is ____.
10^-3
Add binary number 11001100 to binary number 11100001.
110101101
Subtract binary number 1100 from binary number 10000001.
1110101
15.65 as a binary number would be ____.
1111 1010
Binary number 1100.1100 as a decimal number would be ____.
12.75
The greatest single digit for the hexadecimal number system is ____.
15
Convert binary 10011011 to decimal.
155
In the hexadecimal number A8D, the weight of 8 is ____.
16^2
Convert binary 11010101 to decimal.
213
Convert binary 11011011 to decimal
219
Convert hexadecimal EA to decimal.
234
Convert hexadecimal FD to decimal.
253
Convert decimal 22 to octal.
26
Convert binary 0010111101111110 to hexadecimal.
2F7EH
Convert binary 01010101 to decimal.
85
Convert BCD 1000 0111 to decimal.
87
Convert BCD 1001 0110 to decimal.
96
Convert the binary number 11011100 1000 1010 to hexadecimal
DC8A
T/F The BCD number system is more efficient than hexadecimal for representing numbers in computer memory.
False
How many different number symbols are used in a hexadecimal number system?
Sixteen
T/F ASCII code can represent 128 characters.
True
T/F EBCDIC code (sometimes called extended ASCII code) can represent 256 characters.
True
T/F Each BCD digit is represented by a nibble.
True
T/F Each hexadecimal digit is represented by a nibble.
True
T/F Gray code is used to present the angular position of a motor shaft.
True
T/F The hexadecimal number system is more efficient than BCD for representing numbers in computer memory.
True
In a number system, the word "radix" means ____.
base
In the ______________________________system, each 4 bits of binary numbers are grouped to form a decimal number.
binary coded decimal (BCD)
Real numbers have ____.
both integer and fractional parts
How many different digits are used in an octal number system?
eight
A(n) ______________________________ number has weights that are negative powers of 10.
fractional
In the ______________________________ system, only one digit changes state (turns on or off) as a number increments or decrements.
gray code
The ______________________________number system is used to display the PLC memory map and to carry out math instructions.
hexadecimal
A(n) ______________________________ number has weights that are positive powers of 10.
integer
The binary digit to the far right-hand side of the number is called the ______________________________.
least significant bit (LSB)
The binary digit to the far left-hand side of the number is called the ______________________________.
most significant bit (MSB)
The ______________________________ number system has a base of 8.
octal
A number with an exponent of zero is ____.
one
In the Gray code system, ____.
only one bit can change status when the number changes
The number of times the divisor can be subtracted from the dividend is called the ______________________________.
quotient
A(n) ______________________________ number has weights that are both positive and negative powers of 10.
real
In an 8-bit negative binary number, ____.
the most significant bit (MSB) is one
