Lecture 6 Binary Counter Thinking Digitally 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 1 Henry Farny’s Song of the Talking Wire 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 2 2 Minute Quiz Name_______ Sec_______Date_______ • Code Example: • Code Example: • Code Example: • PWM Question: 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 3 Joseph Henry & the Telegraph • • • • Albany Academy Experiment Assisted Morse at Princeton 1st Head of Smithsonian Unit of inductance: Henry 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 4 Morse Code • Simple sequences of short and long clicks to represent letters and numbers • Easier to generate than sound • Easier to distinguish than sound 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 5 UPC Codes •Bars come in four widths 1-2-3-4 •Start is 1-1-1 (blackwhite-black) • • • • • • • • • • 0 = 3-2-1-1 1 = 2-2-2-1 2 = 2-1-2-2 3 = 1-4-1-1 4 = 1-1-3-2 5 = 1-2-3-1 6 = 1-1-1-4 7 = 1-3-1-2 8 = 1-2-1-3 9 = 3-1-1-2 2/18/2004 • • • • • • • The zero is 3-2-1-1 (space-bar-space-bar). The four is 1-1-3-2 (space-bar-space-bar). The three is 1-4-1-1 (space-bar-space-bar). The next three zeros are 3-2-1-1 (space-bar-space-bar). In the middle there is a standard 1-1-1-1-1 (space-barspace-bar-space), which is important because it means the numbers on the right are optically inverted! The one is 2-2-2-1 (bar-space-bar-space). The stop character is a 1-1-1 (bar-space-bar). Introduction to Engineering Electronics STOLEN FROM K. A. Connor 6 Computer Number System Examples From Computer Science I 10110101110001011001110011110110 11 B 5 5 12 C 5 9 5 12 9 B5C59CF6 2/18/2004 C 15 F 6 binary number equivalent base 10 value for each group of 4 consecutive binary digits (bits) 6 corresponding hexadecimal (base 16) digit equivalent hexadecimal number Introduction to Engineering Electronics STOLEN FROM K. A. Connor 7 Communicating With Pulses • PCM: Pulse Code Modulation 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 8 PCM: Pulse Code Modulation 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 9 PWM: Pulse Width Modulation • Signal is compared to a sawtooth wave producing a pulse width proportional to amplitude 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 10 Optical Receiver • Receiver detects pulses of light • Pulses are amplified and partly averaged by 741 opamp (volume adjusted with the pot) Higher frequencies still in signal cannot be heard • Signal is increased by 386 audio amp • 386 audio amp drives the speaker 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 11 Optical Transmitter • Audio signal changes thresholds for 555 timer producing a type of pulse width modulation of the light from the LED. 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 12 Signals from Audio Remote 54603B, CHAN1, 09:22, 9/20/2002 54603B, CHAN1, 09:23, 9/20/2002 8 8 6 6 4 4 2 2 0 0 20.0 ms/ 5.00 ms/ Mostly hear higher frequencies in pulses 3.5 x 20 = 70ms or 14Hz 54603B, CHAN1, 09:24, 9/20/2002 54603B, CHAN1, 09:25, 9/20/2002 8 8 6 6 4 4 2 2 0 0 500 us/ 4 x 500 = 2000us or 500Hz 2/18/2004 100 us/ 2 x 100 / 9 = 23us or 43kHz Introduction to Engineering Electronics STOLEN FROM K. A. Connor 13 Binary Numbers 0 1 2 3 4 5 0000 0001 0010 0011 0100 0101 6 7 8 9 10 11 0110 0111 1000 1001 1010 1011 Byte Lower Nibble Upper Nibble Bit 7 Bit 6 Bit 5 Bit 4 Bit 3 Bit 2 Bit 1 Bit 0 1 0 1 1 0 1 1 1 2 128 2/18/2004 7 + 2 + 0 6 + + 2 5 + 32 + 2 4 3 + 2 + 16 + 0 + 2 1 2 4 + + 2 0 =183 2 + 2 Binary number + 1 Introduction to Engineering Electronics STOLEN FROM K. A. Connor = 183 14 Binary Counter • Animations showing counter operation http://www.play-hookey.com/digital/synchronous_counter.html • Counter for lab 1 2 9 10 7 6 5 4 3 CL CLK LD TE PE CO P4 P3 P2 P1 Q4 Q3 Q2 Q1 15 11 12 13 14 14161 2 - + 1 5V 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 15 Typical Output for Binary Counter • Note how the Q outputs form 4 bit numbers 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 16 Digital Pulses • Function generator produces a 1kHz sinusoidal voltage. 1v peak-to-peak (pp) 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 17 Digital Pulses • Switch to a square wave at 1kHz. Still 1v pp 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 18 Digital Pulses • Add a 0.5 volt offset so that the square wave goes from 0 volts to 1 volt 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 19 Digital Pulses • Now the duty cycle is adjusted to 20% to see what a single digital pulse looks like. 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 20 10 10 8 8 6 6 4 4 Pulse Voltage Pulse Voltage Pulses on a Transmission Line 2 0 -2 2 0 -2 -4 -4 -6 -6 -8 -10 0 0.2 0.4 0.6 Distance Along The Line 0.8 1 From Matlab -8 -10 0 0.2 0.4 0.6 Distance Along The Line 0.8 1 • Pulses propagate down transmission lines at the speed of light. They reflect off of the load if the load is not the same impedance as the line. Lines, sources and loads must be matched. • Cable TV lines are 75 ohms. Cables in the lab are typically 50 ohms. 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 21 What Can Be Done With PWM? Low Duty Cycle Medium Duty Cycle High Duty Cycle • Question: What happens if voltages like the ones above are connected to a light bulb? (4th 2 Minute Quiz Question) 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 22 What Can Be Done With PWM? • Average power can be controlled • Average flows can also be controlled by fully opening and closing a valve with some duty cycle 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 23 What About Analog Modulation? • AM: Amplitude Modulation • FM: Frequency Modulation 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 24 Other Coding Applications • Cryptography • Image Compression JPEG (Joint Photographic Expert Group) GIF (Graphics Interchange Format) TIFF (Tagged Image File Format) MPEG (Compression of Motion Video) Most use Discrete Cosine Transform method 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 25 Image Compression 2 bpp 0.5 bpp 24 bpp original (bits per pixel) Top: JPEG Bottom: JPEG2K 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 26 2 Minute Quiz ANSWERS • Code Example: MORSE, UPC • Code Example: BINARY • Code Example: PWM • PWM Question: The longer the duty cycle, the longer the light bulb is on and the brighter the light 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 27 Where Will You See This Material Again? • 555 Timer – IEE Lab 6 • Digital Counter – IEE Lab 7 • Counters: ECSE- 2610 Computer Components and Operations, ENGR-2350 Introduction to Embedded Control • Signals and Transforms: ECSE-2410 Signals and Systems • Pulse Width Modulation: Embedded Control, ECSE/EPOW-4080 Semiconductor Power Electronics • Pulses on Transmission Lines: ECSE-2100 Fields and Waves I 2/18/2004 Introduction to Engineering Electronics STOLEN FROM K. A. Connor 28