This is a repository that cosists of my notes produced when learning from “Introduction to Computer” from YouTube: https://www.youtube.com/watch?v=0sNoGFvfmyg
By accepting the def of IEEE754 float single precision representation standard, which is like:
bit31 : s
bit30到bit23 : exponent
bit22到bit0: fraction part (and the left-most number of the fraction part is always 1).
Around 250BC, Archimedes in Greece proved that 223/71 < pi < 22/7.
Supposing that he had an IBM PC and let someone input the quotation number 223/71 or 22/7 in c source file ( should be included), they would've perhaos together successfully have "pi" saved inside computer as 0x40490fdb (IEEE single precision représentation) and later also output "pi" in %.20f(小数点后20位小数的形式) format.
So, firstly, what's the Base-2 format of this particular "float number - 0x40490fdb"?
Secondly, the two rational-number-approximation formats of "pi" differs from each other from since which position after floating point? Can you write C program to solve this?
Harder Question:
By accepting the def of IEEE754 float single precision representation standard, which is like:
bit31 : s
bit30 ~ bit23 : expo-nent
bit22 ~ bit0: fraction part (and the left-most number of the fraction part is always 1).
try to transform the following machine numerical float number into decimal version.
By accepting the def of IEEE754 float single precision representation standard, which is like: bit31 : s bit30到bit23 : exponent bit22到bit0: fraction part (and the left-most number of the fraction part is always 1).
Around 250BC, Archimedes in Greece proved that 223/71 < pi < 22/7.
Supposing that he had an IBM PC and let someone input the quotation number 223/71 or 22/7 in c source file ( should be included), they would've perhaos together successfully have "pi" saved inside computer as 0x40490fdb (IEEE single precision représentation) and later also output "pi" in %.20f(小数点后20位小数的形式) format.
So, firstly, what's the Base-2 format of this particular "float number - 0x40490fdb"?
Secondly, the two rational-number-approximation formats of "pi" differs from each other from since which position after floating point? Can you write C program to solve this?
By accepting the def of IEEE754 float single precision representation standard, which is like: bit31 : s bit30 ~ bit23 : expo-nent bit22 ~ bit0: fraction part (and the left-most number of the fraction part is always 1).
try to transform the following machine numerical float number into decimal version.
x = 10011101 10011001 10011001 10011001 10011000
使用基于GNU工具链的gcc或者基于Microsoft工具链的msvc编译环境，输入一下代码(见微信附图1-a-3)， 观察程序运行情况，分析执行过程内部原理(提示: 从机器的数的表示的角度入手)