number systems

Author: Faithy4444

number-systems/README.md

@@ -6,60 +6,80 @@ The goal of these exercises is for you to gain an intuition for binary numbers.
 
 Convert the decimal number 14 to binary.
 Answer:
+1110
 
 Convert the binary number 101101 to decimal:
 Answer:
+45
 
 Which is larger: 1000 or 0111?
 Answer:
+1000
 
 Which is larger: 00100 or 01011?
 Answer:
+01011
 
 What is 10101 + 01010?
 Answer:
+11111
 
 What is 10001 + 10001?
 Answer:
+100010
 
 What's the largest number you can store with 4 bits, if you want to be able to represent the number 0?
 Answer:
+15
 
 How many bits would you need in order to store the numbers between 0 and 255 inclusive?
 Answer:
+8 bits
 
 How many bits would you need in order to store the numbers between 0 and 3 inclusive?
 Answer:
+2 bits
 
 How many bits would you need in order to store the numbers between 0 and 1000 inclusive?
 Answer:
+10 bits
 
 How can you test if a binary number is a power of two (e.g. 1, 2, 4, 8, 16, ...)?
 Answer:
+A number that is a power of two in binary has exactly one bit set to 1. 
 
 Convert the decimal number 14 to hex.
 Answer:
+E
 
 Convert the decimal number 386 to hex.
 Answer:
+182
 
 Convert the hex number 386 to decimal.
 Answer:
+902
 
 Convert the hex number B to decimal.
 Answer:
+11
 
 If reading the byte 0x21 as a number, what decimal number would it mean?
 Answer:
+33
 
 If reading the byte 0x21 as an ASCII character, what character would it mean?
 Answer:
+!
 
 If reading the byte 0x21 as a greyscale colour, as described in "Approaches for Representing Colors and Images", what colour would it mean?
 Answer:
+dark grey
 
 If reading the bytes 0xAA00FF as an RGB colour, as described in "Approaches for Representing Colors and Images", what colour would it mean?
 Answer:
+purple
 
 If reading the bytes 0xAA00FF as a sequence of three one-byte decimal numbers, what decimal numbers would they be?
 Answer:
+170, 0, 255