generated from mwc/lab_encoding
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f4d8ce20a5 |
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poetry.lock
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150
poetry.lock
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# This file is automatically @generated by Poetry 2.1.4 and should not be changed by hand.
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[[package]]
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optional = false
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{file = "bitarray-3.8.0-cp38-cp38-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl", hash = "sha256:0f8069a807a3e6e3c361ce302ece4bf1c3b49962c1726d1d56587e8f48682861"},
|
||||
{file = "bitarray-3.8.0-cp38-cp38-musllinux_1_2_aarch64.whl", hash = "sha256:a358277122456666a8b2a0b9aa04f1b89d34e8aa41d08a6557d693e6abb6667c"},
|
||||
{file = "bitarray-3.8.0-cp38-cp38-musllinux_1_2_ppc64le.whl", hash = "sha256:014df8a9430276862392ac5d471697de042367996c49f32d0008585d2c60755a"},
|
||||
{file = "bitarray-3.8.0-cp38-cp38-musllinux_1_2_s390x.whl", hash = "sha256:720963fee259291a88348ae9735d9deb5d334e84a016244f61c89f5a49aa400a"},
|
||||
{file = "bitarray-3.8.0-cp38-cp38-musllinux_1_2_x86_64.whl", hash = "sha256:239578587b9c29469ab61149dda40a2fe714a6a4eca0f8ff9ea9439ec4b7bc30"},
|
||||
{file = "bitarray-3.8.0-cp38-cp38-win32.whl", hash = "sha256:004d518fa410e6da43386d20e07b576a41eb417ac67abf9f30fa75e125697199"},
|
||||
{file = "bitarray-3.8.0-cp38-cp38-win_amd64.whl", hash = "sha256:5338a313f998e1be7267191b7caaae82563b4a2b42b393561055412a34042caa"},
|
||||
{file = "bitarray-3.8.0-cp39-cp39-macosx_10_9_x86_64.whl", hash = "sha256:d2dbe8a3baf2d842e342e8acb06ae3844765d38df67687c144cdeb71f1bcb5d7"},
|
||||
{file = "bitarray-3.8.0-cp39-cp39-macosx_11_0_arm64.whl", hash = "sha256:ff1863f037dad765ef5963efc2e37d399ac023e192a6f2bb394e2377d023cefe"},
|
||||
{file = "bitarray-3.8.0-cp39-cp39-manylinux2014_aarch64.manylinux_2_17_aarch64.manylinux_2_28_aarch64.whl", hash = "sha256:26714898eb0d847aac8af94c4441c9cb50387847d0fe6b9fc4217c086cd68b80"},
|
||||
{file = "bitarray-3.8.0-cp39-cp39-manylinux2014_ppc64le.manylinux_2_17_ppc64le.manylinux_2_28_ppc64le.whl", hash = "sha256:5f2fb10518f6b365f5b720e43a529c3b2324ca02932f609631a44edb347d8d54"},
|
||||
{file = "bitarray-3.8.0-cp39-cp39-manylinux2014_s390x.manylinux_2_17_s390x.manylinux_2_28_s390x.whl", hash = "sha256:1a926fa554870642607fd10e66ee25b75fdd9a7ca4bbffa93d424e4ae2bf734a"},
|
||||
{file = "bitarray-3.8.0-cp39-cp39-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl", hash = "sha256:4902f4ecd5fcb6a5f482d7b0ae1c16c21f26fc5279b3b6127363d13ad8e7a9d9"},
|
||||
{file = "bitarray-3.8.0-cp39-cp39-musllinux_1_2_aarch64.whl", hash = "sha256:94652da1a4ca7cfb69c15dd6986b205e0bd9c63a05029c3b48b4201085f527bd"},
|
||||
{file = "bitarray-3.8.0-cp39-cp39-musllinux_1_2_ppc64le.whl", hash = "sha256:31a4ad2b730128e273f1c22300da3e3631f125703e4fee0ac44d385abfb15671"},
|
||||
{file = "bitarray-3.8.0-cp39-cp39-musllinux_1_2_s390x.whl", hash = "sha256:cbba763d99de0255a3e4938f25a8579930ac8aa089233cb2fb2ed7d04d4aff02"},
|
||||
{file = "bitarray-3.8.0-cp39-cp39-musllinux_1_2_x86_64.whl", hash = "sha256:46cf239856b87fe1c86dfbb3d459d840a8b1649e7922b1e0bfb6b6464692644a"},
|
||||
{file = "bitarray-3.8.0-cp39-cp39-win32.whl", hash = "sha256:2fe8c54b15a9cd4f93bc2aaceab354ec65af93370aa1496ba2f9c537a4855ee0"},
|
||||
{file = "bitarray-3.8.0-cp39-cp39-win_amd64.whl", hash = "sha256:58a01ea34057463f7a98a4d6ff40160f65f945e924fec08a5b39e327e372875d"},
|
||||
{file = "bitarray-3.8.0-cp39-cp39-win_arm64.whl", hash = "sha256:a60da2f9efbed355edb35a1fb6829148676786c829fad708bb6bb47211b3593a"},
|
||||
{file = "bitarray-3.8.0.tar.gz", hash = "sha256:3eae38daffd77c9621ae80c16932eea3fb3a4af141fb7cc724d4ad93eff9210d"},
|
||||
]
|
||||
|
||||
[[package]]
|
||||
name = "easybits"
|
||||
version = "0.1.4"
|
||||
description = "A friendly interface for exploring bits."
|
||||
optional = false
|
||||
python-versions = "<4.0,>=3.9"
|
||||
groups = ["main"]
|
||||
files = [
|
||||
{file = "easybits-0.1.4-py3-none-any.whl", hash = "sha256:f0059ad99564717332dd52c1c6d417caa71195a288038268a2b93c62f5bc87f7"},
|
||||
{file = "easybits-0.1.4.tar.gz", hash = "sha256:2cae9c40098d9d27135c39beb1ad528409b9a744330dd30cacb8f6fd374fb9e7"},
|
||||
]
|
||||
|
||||
[package.dependencies]
|
||||
bitarray = ">=3.0.0,<4.0.0"
|
||||
|
||||
[[package]]
|
||||
name = "tabulate"
|
||||
version = "0.9.0"
|
||||
description = "Pretty-print tabular data"
|
||||
optional = false
|
||||
python-versions = ">=3.7"
|
||||
groups = ["main"]
|
||||
files = [
|
||||
{file = "tabulate-0.9.0-py3-none-any.whl", hash = "sha256:024ca478df22e9340661486f85298cff5f6dcdba14f3813e8830015b9ed1948f"},
|
||||
{file = "tabulate-0.9.0.tar.gz", hash = "sha256:0095b12bf5966de529c0feb1fa08671671b3368eec77d7ef7ab114be2c068b3c"},
|
||||
]
|
||||
|
||||
[package.extras]
|
||||
widechars = ["wcwidth"]
|
||||
|
||||
[metadata]
|
||||
lock-version = "2.1"
|
||||
python-versions = ">=3.10,<4.0"
|
||||
content-hash = "ac483058c01f5430bddb0bacb650a63b90f5904cfa773e417f4d4a37b5bd3643"
|
||||
30
questions.md
30
questions.md
@@ -21,16 +21,30 @@ The answers to the first two questions are given.
|
||||
|
||||
3. 00000001
|
||||
|
||||
a>>7
|
||||
|
||||
|
||||
4. 10000000
|
||||
|
||||
(a>>7)<<7
|
||||
|
||||
5. 01010000
|
||||
|
||||
~b<<4
|
||||
|
||||
6. 00001010
|
||||
|
||||
b>>4
|
||||
|
||||
7. 01010000
|
||||
|
||||
~b<<4
|
||||
|
||||
8. 10101011
|
||||
|
||||
b|(~a>>3)
|
||||
|
||||
|
||||
## Integer questions
|
||||
|
||||
These questions are difficult! Try exploring ideas with `Bits`
|
||||
@@ -40,9 +54,13 @@ talk with others.
|
||||
9. If `a` represents a positive integer, and `one = Bits(1, length=len(a))`,
|
||||
give an expression equivalent to `-a`, but which does not use negation.
|
||||
|
||||
(~a) + one
|
||||
|
||||
10. It is extremely easy to double a binary number: just shift all the bits
|
||||
to the left. (`a << 1` is twice `a`.) Explain why this trick works.
|
||||
|
||||
a << 1 doubles a because shifting left moves all the bits one place, so each bit’s value doubles.
|
||||
|
||||
11. Consider the following:
|
||||
```
|
||||
>>> hundred = Bits(100, 8)
|
||||
@@ -55,17 +73,28 @@ talk with others.
|
||||
```
|
||||
Apparently 100 + 100 = -56. What's going on here?
|
||||
|
||||
100 + 100 = 200, but we only have 8 bits, which can’t hold 200, so it becomes a negative number.
|
||||
|
||||
12. What is the bit representation of negative zero? Explain your answer.
|
||||
|
||||
Negative zero is 00000000 because flipping zero and adding 1 is still zero.
|
||||
|
||||
13. What's the largest integer that can be represented in a single byte?
|
||||
Explain your reasoning.
|
||||
|
||||
The largest integer that can be represented in a single byte is 127 because the first bit is 0 (positive) and the other 7 bits are all 1, which makes the biggest number possible.I also checked this in the terminal using
|
||||
largest = Bits("01111111"), print(largest.int).
|
||||
|
||||
14. What's the smallest integer that can be represented in a single byte?
|
||||
Explain your reasoning.
|
||||
|
||||
The smallest integer that can be represented in a single byte is -128 because the first bit is 1 (negative) and the other 7 bits are all 0.
|
||||
|
||||
15. What's the largest integer that can be represented in `n` bits?
|
||||
Explain your reasoning.
|
||||
|
||||
The largest integer that can be represented in n bits is when the first bit is 0 (positive) and all the other bits are 1. This makes the biggest number possible with n bits.
|
||||
|
||||
## Text questions
|
||||
|
||||
16. Look at the bits for a few different characters using the `utf8` encoding.
|
||||
@@ -90,4 +119,5 @@ talk with others.
|
||||
|
||||
Make a hypothesis about how this could work.
|
||||
|
||||
The decoder knows how many bits to read by looking at the first bits. The pattern at the start tells it if the character is 1, 2, 3, or 4 bytes long.
|
||||
|
||||
|
||||
Reference in New Issue
Block a user