Digital and analog signals
Grade 8 Science Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Ari's sensor stores each brightness reading as 3 bits (each bit is a 0 or a 1). How many different brightness levels can it store?
Bo's game stores each color shade as 4 bits (each bit is a 0 or a 1). How many different shades can 4 bits tell apart?
Read this first
Use this
(example data). Top: an analog signal, a smooth wave. Bottom: a digital signal of 8 pulses, read as 1, 0, 1, 1, 0, 0, 1, 0.
Using the signal pair, which signal is digital, and why, Jun?
- The top one, since it is made of separate 0s and 1s
- The bottom one, since it has two levels, 1 and 0
- Both are digital, since both signals carry a message
- The top one, since it is smooth and so is copied exactly
A thermometer's liquid column can stop at any height. Is that signal analog or digital, and why, Kira?
- Digital, since a liquid column is either up or down
- Analog, since a thermometer is made of liquid
- Analog, since any height in its range is possible
- Digital, since temperatures are written as numbers
A text message is stored as groups of 0s and 1s. Is that signal analog or digital, and why, Luz?
- Neither, since a message is not a signal
- Analog, since it travels through the air
- Digital, since each pulse is a 0 or a 1
- Analog, since letters change smoothly
Copies of a recording (example data)
copy tape difference (%) digital file difference (%) 1 2 0 2 4 0 3 7 0 4 11 0 5 16 0 Using the table, what happens to the tape copies' difference from the original as more copies are made, Milo?
- It stays the same, since a copy is a copy
- It grows at first, then stops
- It shrinks, since later copies are cleaner
- It gets bigger with every copy
What does the digital file's column show, Noah?
- It matched the original in all five copies
- It got better with every copy
- It got worse, but more slowly than the tape
- It could not be copied
Which statement does the whole table support, Pia?
- Tape copies stay as close to the original as the first copy
- Both kinds got worse, at different speeds
- Tape drifted further with each copy; digital did not
- Digital copies are better because 0 is a small number
Which bits does the receiver read from these four pulses, Ren?
Digital signal with noise (example data). The receiver reads a pulse as 1 if it is above the halfway line at 0.5, and as 0 if it is below. Pulse heights, where a full pulse is 1: 0.8, 0.2, 0.9, 0.1. Digital signal with noise (example data). The receiver reads a pulse as 1 if it is above the halfway line at 0.5, and as 0 if it is below. Pulse heights, where a full pulse is 1: 0.8, 0.2, 0.9, 0.1. Digital signal with noise (example data) 0 0.5 1 0.8 Pulse 1 0.2 Pulse 2 0.9 Pulse 3 0.1 Pulse 4 Pulse height The receiver reads a pulse as 1 if it is above the halfway line at 0.5, and as 0 if it is below. Pulse heights, where a full pulse is 1. - 1, 1, 1, 1
- 0.8, 0.2, 0.9, 0.1
- 1, 0, 1, 0
- 0, 1, 0, 1
The sender sent 1, 0, 1, 1, 0. Did noise change any bit the receiver reads, Zee?
Digital signal with noise (example data). The receiver reads a pulse as 1 if it is above the halfway line at 0.5, and as 0 if it is below. Bits sent: 1, 0, 1, 1, 0. Pulse heights received, where a full pulse is 1: 0.9, 0.2, 0.8, 1.2, 0.1. Digital signal with noise (example data). The receiver reads a pulse as 1 if it is above the halfway line at 0.5, and as 0 if it is below. Bits sent: 1, 0, 1, 1, 0. Pulse heights received, where a full pulse is 1: 0.9, 0.2, 0.8, 1.2, 0.1. Digital signal with noise (example data) 0 0.5 1 Pulse 1 Pulse 2 Pulse 3 Pulse 4 Pulse 5 where a full pulse is 1 Bits sent Pulse heights received The receiver reads a pulse as 1 if it is above the halfway line at 0.5, and as 0 if it is below. - Yes, because the heights are not exactly 0 and 1 anywhere
- Yes, because the 0.8 should have been a full 1.0 pulse
- No, every pulse is on the correct side of 0.5
- Yes, the 1.2 is higher than a full pulse