Lab46 Wiki

User Tools

Site Tools

You are here: start » haas » fall2023 » discrete » projects » blf0
haas:fall2023:discrete:projects:blf0

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revisionPrevious revision
Last revisionBoth sides next revision
haas:fall2023:discrete:projects:blf0 [2024/04/12 07:14] – [BACKGROUND] wedgehaas:fall2023:discrete:projects:blf0 [2024/04/12 07:16] – external edit 127.0.0.1
Line 37: Line 37:
  
 ^  sign (bit 31)  ^  exponent (bits 30-23)  ^  mantissa (bits 22-0)  | ^  sign (bit 31)  ^  exponent (bits 30-23)  ^  mantissa (bits 22-0)  |
-|  1  |  100 0011 0  |  111 1000 1100 0000 0000 0000  |+|  1  |  <nowiki>100 0011 0</nowiki>  |  <nowiki>111 1000 1100 0000 0000 0000</nowiki>  |
  
 ===Determine the exponent=== ===Determine the exponent===
-In this example, we have **1000 0110** or **0x86** in our exponent section.+In this example, we have **<nowiki>1000 0110</nowiki>** or **0x86** in our exponent section.
  
 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:
Line 49: Line 49:
 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+  * <nowiki>1 . 111 1000 1100 0000 0000 0000</nowiki>
  
 ===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**, which when converted to decimal is **248**.+The value we have to the left of the decimal point is **<nowiki>11111000</nowiki>**, which when converted to decimal is **248**.
  
 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 **1/2^-position**, where position starts at 1. Now, to get the component to the right of the decimal point, we basically add together the bit positions, which correspond to **1/2^-position**, where position starts at 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 **<nowiki>1100 0000 0000 0000</nowiki>**, we have exactly 2 values containing a 1. Positions 1 and 2.
  
 According to our formula: According to our formula:
haas/fall2023/discrete/projects/blf0.txt · Last modified: 2024/04/12 07:18 by wedge