The basic constituents of the single-precision format of the IEEE-754 standard are as follows:
1. Sign bit (1 bit): This bit represents the sign of the number. 0 indicates a positive number, while 1 indicates a negative number.
2. Exponent bits (8 bits): These bits represent the exponent of the number in a biased format. The exponent is used to scale the significand (mantissa) and determine the magnitude of the floating-point number.
3. Significand bits (23 bits): Also known as the mantissa, these bits represent the fractional part of the number. The significand is multiplied by 2 raised to the power of the exponent to obtain the final value of the floating-point number.
Here is a visual representation of the single-precision format:
```
| 1 bit | 8 bits | 23 bits |
| Sign | Exponent | Significand |
```
The format allows for a range of values and precision. The bias in the exponent allows for both positive and negative exponents, enabling representation of very large and very small numbers. The 23 bits for the significand provide a significant precision, allowing for accurate representation of decimal values.