How deeply does 100 Go Mistakes and How to Avoid Them cover exponent?

Defines exponent bits and their role in the representation, but stops short of explaining conversion mechanics.

Exponent

As explained in 100 Go Mistakes and How to Avoid Them

An exponent is the multiplier component that determines the power applied to a floating-point mantissa.

In floating-point representation, an exponent determines the power applied to the mantissa. A value is calculated as sign × 2^exponent × mantissa. The exponent and mantissa occupy separate bits, while another bit stores the sign. section 3.3

Float32 representation of 1.0001

For float32, the exponent uses 8 bits. The bit pattern 01111111 represents 2^0, while the mantissa is approximately 1.000100016593933. Therefore, the stored value is 1 × 2^0 × 1.000100016593933—not exactly 1.0001. section 3.3

How 100 Go Mistakes and How to Avoid Them covers it

Cover of 100 Go Mistakes and How to Avoid Them

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Also explained in

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Rust in Action: Systems programming concepts and techniquesAn exponent is the component of a floating-point representation that determines the scale or power of two applied to its significand.

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Related concepts

floating-point arithmeticpart of · Floating-point arithmetic is computation using finite-precision representations of real numbers, which can introduce rounding and range errors.
power functionused by · Exponentiation is the mathematical operation of raising a base to a specified exponent or power.
mantissaused by · A mantissa, more precisely called a significand, is the component of a scientific-notation or floating-point representation that carries a number’s significant digits or bits.
functionaddressed by · A function is a callable program unit that performs an operation, may accept inputs, and can produce a result or side effect.

This explainer was generated by Manning's knowledge graph from the text of 100 Go Mistakes and How to Avoid Them. The section links point to the parts of the book it draws on.