check the answer

Author: AhmadHmedann

number-systems/README.md

@@ -26,7 +26,7 @@ What's the largest number you can store with 4 bits, if you want to be able to r
 Answer: 15
 
 How many bits would you need in order to store the numbers between 0 and 255 inclusive?
-Answer: 9 bits
+Answer: 8 bits
 
 How many bits would you need in order to store the numbers between 0 and 3 inclusive?
 Answer: 2 bits
@@ -35,7 +35,7 @@ How many bits would you need in order to store the numbers between 0 and 1000 in
 Answer: 10 bits
 
 How can you test if a binary number is a power of two (e.g. 1, 2, 4, 8, 16, ...)?
-Answer: n & n-1 == 0
+Answer: n > 0 & (n & n-1 ==0)
 
 Convert the decimal number 14 to hex.
 Answer: E
@@ -46,72 +46,7 @@ Answer: 11E
 Convert the hex number 386 to decimal.
 Answer: 902
 
-Convert the hex number B to decimal.Do not use any tools or programming to solve these problems. Work it out yourself by hand, and fill in the answers.
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-Do not convert any binary numbers to decimal when solving a question unless the question explicitly tells you to.
-
-The goal of these exercises is for you to gain an intuition for binary numbers. Using tools to solve the problems defeats the point.
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-Convert the decimal number 14 to binary.
-Answer:
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-Convert the binary number 101101 to decimal:
-Answer:
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-Which is larger: 1000 or 0111?
-Answer:
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-Which is larger: 00100 or 01011?
-Answer:
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-What is 10101 + 01010?
-Answer:
-
-What is 10001 + 10001?
-Answer:
-
-What's the largest number you can store with 4 bits, if you want to be able to represent the number 0?
-Answer:
-
-How many bits would you need in order to store the numbers between 0 and 255 inclusive?
-Answer:
-
-How many bits would you need in order to store the numbers between 0 and 3 inclusive?
-Answer:
-
-How many bits would you need in order to store the numbers between 0 and 1000 inclusive?
-Answer:
-
-How can you test if a binary number is a power of two (e.g. 1, 2, 4, 8, 16, ...)?
-Answer:
-
-Convert the decimal number 14 to hex.
-Answer:
-
-Convert the decimal number 386 to hex.
-Answer:
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-Convert the hex number 386 to decimal.
-Answer:
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 Convert the hex number B to decimal.
-Answer:
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-If reading the byte 0x21 as a number, what decimal number would it mean?
-Answer:
-
-If reading the byte 0x21 as an ASCII character, what character would it mean?
-Answer:
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-If reading the byte 0x21 as a greyscale colour, as described in "Approaches for Representing Colors and Images", what colour would it mean?
-Answer:
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-If reading the bytes 0xAA00FF as an RGB colour, as described in "Approaches for Representing Colors and Images", what colour would it mean?
-Answer:
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-If reading the bytes 0xAA00FF as a sequence of three one-byte decimal numbers, what decimal numbers would they be?
-Answer:
-
 Answer: 11
 
 If reading the byte 0x21 as a number, what decimal number would it mean?
@@ -121,10 +56,10 @@ 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:
+Answer: almost black
 
 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 but I found the answer on google not from the PDF.
+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