IEEE 754 Single-Precision 32-bit Floating-Point Standard Format

00:03 What is a floating-point number and how is it represented in digital electronics?
00:16 Mantissa and Exponential Part in Decimal Number System
00:53 IEEE-754
00:59 Single Precision has 32 bits
01:06 Double Precision has 64 bits
01:19 1st bit is the sign bit
01:33 next 8 bits refer to exponent bits
01:46 last 23 bits refer to the fractional part or mantissa
02:33 Example of floating point number conversion to IEEE 754 standard SPFP format
02:56 Step 1 : Rewrite the decimal into whole number without exponent and then convert it to binary number
05:19 Step 2 : Express as scientific notation with base 2
06:13 Step 3 : Determine the sign bit
06:39 Step 4 : Write the exponent bits
11:23 Step 5 : Determine the mantissa bits, then attach zeroes to the remaining vacant bits until you fill up 23 bits.
14:16 Exercise
16:29 Quiz