haas:fall2023:discrete:projects:blf0
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| haas:fall2023:discrete:projects:blf0 [2024/04/12 07:12] – external edit 127.0.0.1 | haas:fall2023:discrete:projects:blf0 [2024/04/12 07:18] (current) – [Process] wedge | ||
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| Floating point data also has an encoding scheme for storage. There are actually a few different floating point standards. One of the common, classic ones frequently found in use is that of IEEE754, which we will focus on in this project. | Floating point data also has an encoding scheme for storage. There are actually a few different floating point standards. One of the common, classic ones frequently found in use is that of IEEE754, which we will focus on in this project. | ||
| - | {{: | + | {{: |
| ====Process==== | ====Process==== | ||
| - | Walking through the decoding scheme, we'll start with an instance of IEEE754-encoded data: **C378C000** | + | Walking through the decoding scheme, we'll start with an instance of IEEE754-encoded data: **0xC378C000** |
| The first step is to visualize it in binary so we can proceed to divide it into its distinct components. Doing a simple hexadecimal to binary conversion yields: | The first step is to visualize it in binary so we can proceed to divide it into its distinct components. Doing a simple hexadecimal to binary conversion yields: | ||
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| ^ sign (bit 31) ^ exponent (bits 30-23) | ^ sign (bit 31) ^ exponent (bits 30-23) | ||
| - | | 1 | 100 0011 0 | 111 1000 1100 0000 0000 0000 | | + | | 1 | |
| ===Determine the exponent=== | ===Determine the exponent=== | ||
| - | In this example, we have **1000 0110** or **0x86** in our exponent section. | + | In this example, we have **< |
| What we do now is take that value, and subtract a **0x7F** from it to get our actual exponent value: | What we do now is take that value, and subtract a **0x7F** from it to get our actual exponent value: | ||
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| We then start to setup our whole number value, which conceptually is to the immediate left of the mantissa. We assign a 1 to it by default. As a result, our floating point value (in binary) is currently: | We then start to setup our whole number value, which conceptually is to the immediate left of the mantissa. We assign a 1 to it by default. As a result, our floating point value (in binary) is currently: | ||
| - | * 1 . 111 1000 1100 0000 0000 0000 | + | * < |
| ===bit shift by exponent=== | ===bit shift by exponent=== | ||
| Line 68: | Line 68: | ||
| ===determine value to the left of the decimal point=== | ===determine value to the left of the decimal point=== | ||
| - | The value we have to the left of the decimal point is **11111000**, | + | The value we have to the left of the decimal point is **< |
| We prefix the sign to this (1 indicates negative, which in this example it was), so: **-248.** | We prefix the sign to this (1 indicates negative, which in this example it was), so: **-248.** | ||
| Line 75: | Line 75: | ||
| Now, to get the component to the right of the decimal point, we basically add together the bit positions, which correspond to **1/ | Now, to get the component to the right of the decimal point, we basically add together the bit positions, which correspond to **1/ | ||
| - | So, with our current value of **1100 0000 0000 0000**, we have exactly 2 values containing a 1. Positions 1 and 2. | + | So, with our current value of **< |
| According to our formula: | According to our formula: | ||
| Line 93: | Line 93: | ||
| * < | * < | ||
| - | Therefore, **C378C000** decodes as **-248.75** | + | Therefore, **0xC378C000** decodes as **-248.75** |
| =====TASK===== | =====TASK===== | ||
| Your task is to write a program that will take in various encoded IEEE754 binary values, and to decode and ultimately display the decoded value. | Your task is to write a program that will take in various encoded IEEE754 binary values, and to decode and ultimately display the decoded value. | ||
haas/fall2023/discrete/projects/blf0.1712920349.txt.gz · Last modified: 2024/04/12 07:12 by 127.0.0.1