diff --git a/number-systems/README.md b/number-systems/README.md index 77a3bde9..d1f5ee31 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: 0b1110 Convert the binary number 101101 to decimal: -Answer: +Answer: 45 Which is larger: 1000 or 0111? -Answer: +Answer: 0b1000 Which is larger: 00100 or 01011? -Answer: +Answer: 0b01011 What is 10101 + 01010? -Answer: +Answer: 0b11111 What is 10001 + 10001? -Answer: +Answer: 0b100010 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: If the most significant bit is a 1, and if there is more than 1 bit in the binary number, the other bits are 0. 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 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: 0x21 = 33 = Very 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: +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 and 255