Problems • • • • • • • • • • • • • Section 1-4
1-1. Convert the following binary numbers to decimal.
(a) 0110
(b) 1011
(c) 1001
(d) 0111
(f) 0100 1011
(g) 0011 0111
(e) 1100
(h) 1011 0101
(i) 1010 0111
(j) 0111 0110
Section 1-5
1-2. Convert the following decimal numbers to 8-bit binary.
(a) 186 10
(b) 214 10
(c) 27 10
(d) 251 10
(e) 146 10
Sections 1-6 and 1-7
1-3. Convert the following binary numbers to octal.
(a) 011001
(b) 11101
(c) 1011100
(d) 01011001
(e) 1101101
1-4. Convert the following octal numbers to binary.
(a) 468
(b) 74 8
(c) 61 8
(d) 32 8
(e) 57 8
1-5. Convert the following octal numbers to decimal.
(a) 27 8
(b) 37 8
(c) 148
(d) 728
(e) 51 8
1-6. Convert the following decimal numbers to octal.
(a) 126 10
(b) 49 10
(c) 87 10
(d) 94 10
(e) 108 10
Sections 1-8 and 1-9
1-7. Convert the following binary numbers to hexadecimal.
(a) 10111001
(b) 11011100
(c) 01110100
(d) 1111 1011
(e) 1100 0110
1-8. Convert the following hexadecimal numbers to binary.
(a) CS1 6
(b) FA1 6
(d) A94 16
(e) 62 16
(c) D61 6
1-9. Convert the following hexadecimal numbers to decimal.
(a) 8616
(b) F416
(c) 92 16
(d) AB 16
(e) 3C5 16
1-10. Convert the following decimal numbers to hexadecimal.
(a) 127 10
(b) 68 10
(c) 107 10
(d) 61 10
(e) 29 10
Section 1-1 0
1-11. Convert the following BCD numbers to decimal.
(a) 1001 lOOOscn
(d) 0011 Oll08 cn
(b) 0110 100lscn
(e) 1000 OOOlscn
(c) 0111 0100scn
1-12. Convert the following decimal numbers to BCD.
(a) 87 10
(b) 142 10
(c) 94 10
(d) 61 10
(e) 44 10
PROBLEMS
23
Section 1-12
1-13. Use Table 1-5 to convert the following letters, symbols, and numbers to ASCII.
(a) %
(b) $14
(c) N-6
(d) CPU
(e) Pg
1-14. Insert a zero in the MSB of your answers to Problem 1-13, and list
your answers in hexadecimal.
Section 1-13
C*
1-15. The computer monitoring system at the ABC Corporation shown in
Figure 1-6 is receiving the following warning codes. Determine the problems that exist for each code (H stands for hex).
(b) C0 16
(c) 88H
(d) 0248
(e) 48 10
(a) 0010 0001 2
1-16. What is the BCD representation that is sent to a 3-digit display on a
voltmeter that is measuring 120 V?
C
1-17. A computer programmer observes the following hex string when
looking at a particular section of computer memory: 736B753433.
(a) Assume that the memory contents are ASCII codes with leading zeros
and translate this string into its alphanumeric equivalent.
(b) The programmer realizes that the program recognizes only capital
(uppercase) letters. Convert all letters in the alphanumeric equivalent to
capital letters, and determine the new hex string.
~
Schematic Interpretation Problems • • • • (Note: Appendix G contains four schematic diagrams of actual digital systems. At the
end of each chapter, you will have the opportunity to work with these diagrams to gain
experience with real-world circuitry and observe the application of digital logic that
was presented in the chapter.)
S
*
1-18. Locate the HC11DO master board schematic in Appendix G. Determine the component name and grid coordinates of the following components. (Example: Q3 is a 2N2907 located at A3.)
(a) U1
(b) U16
(c) Q1
(d) P2
s
1-19. Find the date and revision number for the HC11DO master board
schematic.
s
1-20. Find the quantity of the following devices that are used on the
watchdog timer schematic.
(b) 74HC08
(c) 74HC74
(d) 74HC32
(a) 74HC85
*The letter C signifies problems that are more Challenging and thought provoking.
*The letter S designates a S chematic interpretation problem.
24
CHAPTER 1 I NUMBER SYSTEMS AND CODES