From 998b2cf66f6dc418199b5ff3eac9a5acb9a4d1de Mon Sep 17 00:00:00 2001 From: iswat Date: Fri, 13 Mar 2026 21:04:18 +0000 Subject: [PATCH 1/2] Complete answers for number systems exercises in README.md - Filled in answers for binary, decimal, and hex conversions - Provided answers for bit storage, binary addition, and comparison questions - Added responses for interpreting bytes as numbers, ASCII, greyscale, and RGB colors --- number-systems/README.md | 40 ++++++++++++++++++++-------------------- 1 file changed, 20 insertions(+), 20 deletions(-) diff --git a/number-systems/README.md b/number-systems/README.md index 77a3bde94..2084bae7a 100644 --- a/number-systems/README.md +++ b/number-systems/README.md @@ -5,61 +5,61 @@ Do not convert any binary numbers to decimal when solving a question unless the The goal of these exercises is for you to gain an intuition for binary numbers. Using tools to solve the problems defeats the point. Convert the decimal number 14 to binary. -Answer: +Answer: 1110 Convert the binary number 101101 to decimal: -Answer: +Answer: 45 Which is larger: 1000 or 0111? -Answer: +Answer: 1000 Which is larger: 00100 or 01011? -Answer: +Answer: 01011 What is 10101 + 01010? -Answer: +Answer: 11111 What is 10001 + 10001? -Answer: +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: +Answer: 15 How many bits would you need in order to store the numbers between 0 and 255 inclusive? -Answer: +Answer: 8 bits How many bits would you need in order to store the numbers between 0 and 3 inclusive? -Answer: +Answer: 2 bits How many bits would you need in order to store the numbers between 0 and 1000 inclusive? -Answer: +Answer: 10 bits How can you test if a binary number is a power of two (e.g. 1, 2, 4, 8, 16, ...)? -Answer: +Answer: 2^n Convert the decimal number 14 to hex. -Answer: +Answer: E Convert the decimal number 386 to hex. -Answer: +Answer: 182 Convert the hex number 386 to decimal. -Answer: +Answer: 902 Convert the hex number B to decimal. -Answer: +Answer: 11 If reading the byte 0x21 as a number, what decimal number would it mean? -Answer: +Answer: 33 If reading the byte 0x21 as an ASCII character, what character would it mean? -Answer: +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: very dark gray If reading the bytes 0xAA00FF as an RGB colour, as described in "Approaches for Representing Colors and Images", what colour would it mean? -Answer: +Answer: purple If reading the bytes 0xAA00FF as a sequence of three one-byte decimal numbers, what decimal numbers would they be? -Answer: +Answer: 170, 0, 255 From 621dddae0328cc0ab3ec28605fad4665db490763 Mon Sep 17 00:00:00 2001 From: iswat Date: Sat, 14 Mar 2026 15:54:28 +0000 Subject: [PATCH 2/2] docs: clarify method to test if a binary number is a power of two - Updated README.md to provide a clearer explanation for testing powers of two in binary. - Replaced the previous answer with a more descriptive method. --- number-systems/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/number-systems/README.md b/number-systems/README.md index 2084bae7a..83c53a071 100644 --- a/number-systems/README.md +++ b/number-systems/README.md @@ -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: 2^n +Answer: It can be tested if one of the bits in the value is one e.g 0100, 10, 100 Convert the decimal number 14 to hex. Answer: E