From f87f891fba2cb18fb2fddb31846e81180f13efc4 Mon Sep 17 00:00:00 2001
From: jkissane2 <nobody@makingwithcode.org>
Date: Tue, 10 Mar 2026 21:14:40 -0400
Subject: [PATCH] Encoding Lab- Kissane

---
 .envrc       |  1 +
 questions.md | 30 +++++++++++++++++++++++++++++-
 2 files changed, 30 insertions(+), 1 deletion(-)
 create mode 100644 .envrc

diff --git a/.envrc b/.envrc
new file mode 100644
index 0000000..4a96c22
--- /dev/null
+++ b/.envrc
@@ -0,0 +1 @@
+source .venv/bin/activate
\ No newline at end of file
diff --git a/questions.md b/questions.md
index 6a16806..6170d46 100644
--- a/questions.md
+++ b/questions.md
@@ -21,16 +21,30 @@ The answers to the first two questions are given.
 
 3. 00000001
 
+a>>7
+
 4. 10000000
 
+a<<3
+
 5. 01010000
 
+b<<3
+
 6. 00001010
 
+b>>4
+
 7. 01010000
 
+b<<3
+
 8. 10101011
 
+I cannot figure out an equivalent expression. 
+
+
+
 ## 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.
 
+
+
 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. 
 
+    Shifting each bit left moves every bit to the next higher power of two. Every time you move to the left, your value doubles. 
+
 11. Consider the following: 
    ```
    >>> hundred = Bits(100, 8)
@@ -55,17 +73,27 @@ talk with others.
    ```
    Apparently 100 + 100 = -56. What's going on here?
 
+   100 + 100 = 200 but since it does  not fit into 8 bits, 200-256= -56. 
+
 12. What is the bit representation of negative zero? Explain your answer.
 
+
+
 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 signle byte is 127. As we know binary place values go up to 128. However the first digit of a positive integer must always be 0. So if we have 01111111 this number represents 64+32+16+8+4+2+1= 127. 
+
 14. What's the smallest integer that can be represented in a single byte? 
     Explain your reasoning.
 
+    The smallest integer that can be represented by a signle byte is -128. In order to make an integer negative it must start with 1. 10000000 results in -128.  
+
 15. What's the largest integer that can be represented in `n` bits? 
     Explain your reasoning.
 
+    Since the first bit is used for the sign, we are left with n-1 bits to hold the number. Bits are in base 2 so the largest integer that can be represents in n bits would be n^(n-1)-1
+
 ## Text questions
 
 16. Look at the bits for a few different characters using the `utf8` encoding. 
@@ -90,4 +118,4 @@ talk with others.
 
     Make a hypothesis about how this could work. 
 
-
+I notice that each bit above gets an added 1 in the beginning and for every 1 added, it stops after another byte. For example, 'a' starts with 0 and ends after 8 bits. The second one startes with 1 and stops after 2 bytes. Then, 111 ends after 3 bytes. I predict the number of 1's in the beginning determines how many 8 bits it will be reading. 
\ No newline at end of file