PLC Chapter 3
Convert the following binary numbers to BCD numbers. 1110
0001 0100
Convert the following binary numbers to octal numbers. 1000111001.1
1071.4
Perform the following binary subtractions. A100 - 1001
11
Add the following binary numbers. 11000111 + 11000000
110000111
Add the following binary numbers. 10101011 + 11110011
110011110
Add the following binary numbers. 1100 + 1111
11011
Perform the following binary subtractions. 10001100 - 10000101
111
Multiply the following binary numbers. 10101 × 1011
11100111
Multiply the following binary numbers. 11011100 x 10101111
11110111011001
Find the maximum decimal values for the following groups of binary bit (the value if all bits in the group are 1). A. 4-bit (called a nibble)
15
Convert the following binary numbers to octal numbers. 1110011100.0110
1634.3
Convert the following binary numbers to octal numbers. 1111000111.01
1707.2
Convert the following decimal numbers to octal numbers. 127
177
Convert the following BCD numbers to decimal. 0010 0010BCD
22
Find the maximum decimal values for the following groups of binary bit (the value if all bits in the group are 1). B. 8-bit (called a byte)
255
Convert the following decimal numbers to octal numbers. 25
31
Convert the following decimal numbers to octal numbers. 365
555
Convert the following BCD numbers to decimal. 0101 0111BCD
57
Find the maximum decimal values for the following groups of binary bit (the value if all bits in the group are 1). C. 16-bit (called a word)
65,535
Convert the following binary numbers to octal numbers. 110111
67
Convert the following BCD numbers to decimal. 1001 1000BCD
98
1. In decimal number 923.167, the weight of 2 is A. 10 В. 10^-1 С. 10^2 D. 10^-2
A. 10
11. In the HEX number A8D, the weight of 8 is A. 16 B. 162 C. 163 D. 102
A. 16
2. The highest decimal number that can be presented by a nibble in the binary system A. 9 B. 15 C. 32 D. 8
B. 15
2. Convert hexadecimal number AB12h to its decimal equivalent
43794
Convert the following BCD numbers to decimal. 0100 1000BCD
48
7. One's complement of binary number 11011100 is A. 01011100 B. 00100011 C. 10100011 D. 11011101
B. 00100011
14. Select the 621 odd-parity BCD number transmitted in the serial communication system: A. 00110 0010 0001 B. 10110 0010 0001 C. 10111 0010 0001 D. 10110 0011 0001
B. 10110 0010 0001
Convert the following binary numbers to BCD numbers. 100010
0011 0100
Convert the following binary numbers to BCD numbers. 100110
0011 0110
Convert the following binary numbers to BCD numbers. 111
0111
3. Convert hexadecimal number 15CD.A2h to its binary equivalent.
1010111001101.101001
Convert the following binary numbers to BCD numbers. 10000
0001 0110
12. Convert the binary number 11011100 1000 1010 to HEX. A. DB8A B. DC8A C. EB8A D. EC8A
B. DC8A
18. How many different digits are used in an octal number system? A. Seven B. Eight C. Nine D. Ten
B. Eight
13. Which one of the following numbers is an incorrect binary coded decimal number? A. 0101 B. 1001 C. 1010 D. 0111
C. 1010
9. Which one of the following statements is false? A. Each BCD digit is represented by a nibble. B. Each HEX digit is represented by a nibble. C. The BCD number system is more efficient than HEX for representing numbers in computer memory. D. The HEX number system is more efficient than BCD for representing numbers in computer memory.
C. The BCD number system is more efficient than HEX for representing numbers in computer memory.
5. Real numbers have A. only an integer part B. only a fractional part C. both integer and fractional parts D. None of the above.
C. both integer and fractional parts
6. In the Gray code system, A. only one bit can turn on when the number changes B. only one bit can turn off when the number changes C. only one bit can change status when the number changes D. All of the above.
C. only one bit can change status when the number changes
8. In an 8-bit negative binary number, - A. the least significant bit (LSB) is one B. the least significant bit (LSB) is zero C. the most significant bit (MSB) is one D. the most significant bit (MSB) is zero
C. the most significant bit (MSB) is one
16. 0000 1010 as a decimal number would be A. 0.50 В. 0.25 С. 0.125 D. 0.625
D. 0.625
3. In binary addition, 1+1+1 is equal to A. 1 with a carry of 0 B. 1 with no carry C. 0 with a carry of 1 D. 1 with a carry of 1
D. 1 with a carry of 1
17. 15.65 as a binary number would be A. 1101 1001 B. 1101 1010 C. 1111 1001 D. 1111 1010
D. 1111 1010
4. In a number system, the word "radix" means A. HEX B. BYTE C. BCD D. BASE
D. BASE
10. Which one of the following statements is false? A. ASCII code can represent 128 characters. B. EBCDIC code (sometimes called extended ASCII code) can represent 256 characters. C. Gray code is used to present the angular position of a motor shaft. D. None of the above.
D. None of the above.
15. A number with an exponent of zero is A. zero B. ten C. itself D. one
D. one