diff --git a/questions.md b/questions.md
index 8526878..b5467a2 100644
--- a/questions.md
+++ b/questions.md
@@ -6,10 +6,6 @@ Create the following variables.
 a = Bits("11110000")
 b = Bits("10101010")
 ```
-print(a)
-11110000
-print(b)
-10101010
 
 For each of the following bytes, give an equivalent 
 expression which uses only `a`, `b`, and bit operators.
@@ -25,16 +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` 
@@ -44,9 +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)
@@ -59,17 +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. 
@@ -94,4 +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.