From 20645a9bbaf7c44a90bf5045062fc8b0a1108026 Mon Sep 17 00:00:00 2001 From: samirahekmati Date: Fri, 28 Feb 2025 22:47:14 +0000 Subject: [PATCH 1/2] Completed binary, decimal,hex conversion exercises --- 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 77a3bde..2e83354 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: 110111 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: The largest possible number that 4 bits can represent by setting all the bits to one, giving us 0b1111. That is 15 in decimal. How many bits would you need in order to store the numbers between 0 and 255 inclusive? -Answer: +Answer: 8 bits can store valuse between 0 and 255 How many bits would you need in order to store the numbers between 0 and 3 inclusive? -Answer: +Answer: 2 bits can store values between 0 and 3 How many bits would you need in order to store the numbers between 0 and 1000 inclusive? -Answer: +Answer: 10 bits can store values between 0 and 1000 How can you test if a binary number is a power of two (e.g. 1, 2, 4, 8, 16, ...)? -Answer: +Answer: A power of two has exactly one bit set to 1 in its binary representation. Convert the decimal number 14 to hex. -Answer: +Answer: 0xE Convert the decimal number 386 to hex. -Answer: +Answer: 0x182 Convert the hex number 386 to decimal. -Answer: +Answer: 902 (decimal) 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: RGB(33, 33, 33) 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: RGB(170, 0, 255) 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 e46ffc3e0e598141d728fa8999d882c5d78d32e8 Mon Sep 17 00:00:00 2001 From: samirahekmati Date: Tue, 4 Mar 2025 15:48:41 +0000 Subject: [PATCH 2/2] fixed incorrect sum calculation (10001 + 10001) --- 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 2e83354..b3c51ac 100644 --- a/number-systems/README.md +++ b/number-systems/README.md @@ -17,7 +17,7 @@ Which is larger: 00100 or 01011? Answer: 01011 What is 10101 + 01010? -Answer: 110111 +Answer: 11111 What is 10001 + 10001? Answer: 100010