npm package: @stdlib/number-float32-base-from-binary-string
Description: Create a single-precision floating-point number from a literal bit representation.
Author: The Stdlib Authors
Latest version: 0.2.3

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<details>
  <summary>
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  <p>We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.</p>
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# From Binary String

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] <!-- [![dependencies][dependencies-image]][dependencies-url] -->

> Create a [single-precision floating-point number][ieee754] from an [IEEE 754 literal bit representation][@stdlib/number/float32/base/to-binary-string].

<section class="installation">

## Installation

```bash
npm install @stdlib/number-float32-base-from-binary-string
```

</section>

<section class="usage">

## Usage

```javascript
var fromBinaryStringf = require( '@stdlib/number-float32-base-from-binary-string' );
```

#### fromBinaryStringf( bstr )

Creates a [single-precision floating-point number][ieee754] from an [IEEE 754 literal bit representation][@stdlib/number/float32/base/to-binary-string].

```javascript
var bstr = '01000000100000000000000000000000';
var v = fromBinaryStringf( bstr );
// returns 4.0

bstr = '01000000010010010000111111011011';
v = fromBinaryStringf( bstr );
// returns ~3.14

bstr = '11111111011011000011101000110011';
v = fromBinaryStringf( bstr );
// returns ~-3.14e+38
```

The function handles [subnormals][subnormals].

```javascript
var bstr = '10000000000000000000000000010110';
var val = fromBinaryStringf( bstr );
// returns ~-3.08e-44

bstr = '00000000000000000000000000000001';
val = fromBinaryStringf( bstr );
// returns ~1.40e-45
```

The function handles special values.

```javascript
var bstr = '00000000000000000000000000000000';
var val = fromBinaryStringf( bstr );
// returns 0.0

bstr = '10000000000000000000000000000000';
val = fromBinaryStringf( bstr );
// returns -0.0

bstr = '01111111110000000000000000000000';
val = fromBinaryStringf( bstr );
// returns NaN

bstr = '01111111100000000000000000000000';
val = fromBinaryStringf( bstr );
// returns Infinity

bstr = '11111111100000000000000000000000';
val = fromBinaryStringf( bstr );
// returns -Infinity
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- eslint no-undef: "error" -->

```javascript
var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var pow = require( '@stdlib/math-base-special-pow' );
var toFloat32 = require( '@stdlib/number-float64-base-to-float32' );
var toBinaryStringf = require( '@stdlib/number-float32-base-to-binary-string' );
var fromBinaryStringf = require( '@stdlib/number-float32-base-from-binary-string' );

var frac;
var sign;
var exp;
var b;
var x;
var y;
var i;

// Convert random numbers to IEEE 754 literal bit representations and then convert them back...
for ( i = 0; i < 100; i++ ) {
    if ( randu() < 0.5 ) {
        sign = -1.0;
    } else {
        sign = 1.0;
    }
    frac = randu() * 10.0;
    exp = round( randu()*100.0 );
    if ( randu() < 0.5 ) {
        exp = -exp;
    }
    x = sign * frac * pow( 2.0, exp );
    x = toFloat32( x );

    b = toBinaryStringf( x );
    y = fromBinaryStringf( b );

    console.log( '%d => %s => %d', x, b, y );
    console.log( x === y );
}
```

</section>

<!-- /.examples -->

<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

* * *

## See Also

-   <span class="package-name">[`@stdlib/number-float32/base/to-binary-string`][@stdlib/number/float32/base/to-binary-string]</span><span class="delimiter">: </span><span class="description">return a string giving the literal bit representation of a single-precision floating-point number.</span>
-   <span class="package-name">[`@stdlib/number-float64/base/from-binary-string`][@stdlib/number/float64/base/from-binary-string]</span><span class="delimiter">: </span><span class="description">create a double-precision floating-point number from a literal bit representation.</span>

</section>

<!-- /.related -->

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<section class="main-repo" >

* * *

## Notice

This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].

#### Community

[![Chat][chat-image]][chat-url]

---

## License

See [LICENSE][stdlib-license].


## Copyright

Copyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].

</section>

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[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

[deno-url]: https://github.com/stdlib-js/number-float32-base-from-binary-string/tree/deno
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[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/number-float32-base-from-binary-string/main/LICENSE

[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985

[subnormals]: https://en.wikipedia.org/wiki/Denormal_number

[@stdlib/number/float32/base/to-binary-string]: https://www.npmjs.com/package/@stdlib/number-float32-base-to-binary-string

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[@stdlib/number/float64/base/from-binary-string]: https://www.npmjs.com/package/@stdlib/number-float64-base-from-binary-string

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