npm package: @stdlib/number-float16-base-from-binary-string
Description: Create a half-precision floating-point number from a literal bit representation.
Author: The Stdlib Authors
Latest version: 0.1.1

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<details>
  <summary>
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</details>

# fromBinaryString

[![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 [half-precision floating-point number][ieee754] from an [IEEE 754 literal bit representation][@stdlib/number/float16/base/to-binary-string].

<section class="installation">

## Installation

```bash
npm install @stdlib/number-float16-base-from-binary-string
```

</section>

<section class="usage">

## Usage

```javascript
var fromBinaryString = require( '@stdlib/number-float16-base-from-binary-string' );
```

#### fromBinaryString( bstr )

Creates a [half-precision floating-point number][ieee754] from an [IEEE 754 literal bit representation][@stdlib/number/float16/base/to-binary-string].

```javascript
var bstr = '0100010000000000';
var v = fromBinaryString( bstr );
// returns 4.0

bstr = '0100001001001000';
v = fromBinaryString( bstr );
// returns ~3.140625

bstr = '1110001111010000';
v = fromBinaryString( bstr );
// returns -1000.0
```

The function handles [subnormals][subnormals].

```javascript
var bstr = '1000000000000001';
var val = fromBinaryString( bstr );
// returns ~-5.96e-8

bstr = '0000000000000001';
val = fromBinaryString( bstr );
// returns ~5.96e-8
```

The function handles special values.

```javascript
var bstr = '0000000000000000';
var val = fromBinaryString( bstr );
// returns 0.0

bstr = '1000000000000000';
val = fromBinaryString( bstr );
// returns -0.0

bstr = '0111111000000000';
val = fromBinaryString( bstr );
// returns NaN

bstr = '0111110000000000';
val = fromBinaryString( bstr );
// returns Infinity

bstr = '1111110000000000';
val = fromBinaryString( 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 toFloat16 = require( '@stdlib/number-float64-base-to-float16' );
var toBinaryString = require( '@stdlib/number-float16-base-to-binary-string' );
var fromBinaryString = require( '@stdlib/number-float16-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()*5.0 );
    if ( randu() < 0.5 ) {
        exp = -exp;
    }
    x = sign * frac * pow( 2.0, exp );
    x = toFloat16( x );

    b = toBinaryString( x );
    y = fromBinaryString( b );

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

</section>

<!-- /.examples -->

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<section class="related">

</section>

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* * *

## 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

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---

## License

See [LICENSE][stdlib-license].


## Copyright

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

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[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/number-float16-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/float16/base/to-binary-string]: https://www.npmjs.com/package/@stdlib/number-float16-base-to-binary-string

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