Represent (-78.25)10 and (0.03125)10 in IEEE 754 single precision form

Question

Represent (-78.25)10 and (0.03125)10 in IEEE 754 single precision format.

30 Nov 2023

Answer :

Word Count : 400

To represent real numbers in the IEEE 754 single-precision floating-point format, we need to follow a set of rules. The IEEE 754 standard defines a 32-bit format, where 1 bit is used for the sign, 8 bits for the exponent, and 23 bits for the fraction (also known as the significand or mantissa). Let's represent the given decimal numbers (-78.25)₁₀ and (0.03125)₁₀ in IEEE 754 single-precision format.

### 1. (-78.25)₁₀:

#### Step 1: Convert to Binary
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