Question

challenge activity 1.6.2: binary floating point. 493162.3423510.qx3zqy7 enter the decimal equivalent of the exponent of the following floating point binary number.

Answer 1

To determine the decimal equivalent of a binary exponent, you must convert the binary value to decimal form. Without the complete binary floating-point number, the specific exponent value cannot be provided. Understanding scientific notation is vital for these conversions.

Step-by-step explanation:

The question seeks to find the decimal equivalent of the exponent from a binary floating-point number. In order to provide an accurate response, we would need the full binary representation of the floating-point number, including the exponent part (often in a format like 1.mantissa × 2exponent). Without the full context, we cannot determine the specific value of the exponent.

In general, converting a binary exponent to its decimal equivalent involves translating the binary number to the base-10 system. For example, if we have a binary exponent such as 101, in decimal this would be 22 + 01 + 20 = 4 + 0 + 1 = 5. Thus, the decimal equivalent of the binary 101 is 5.

Understanding how to work with exponents in scientific notation is crucial for these conversions. For instance:

• Evaluating expressing the answer in scientific notation requires rewriting small or large numbers in terms of a power of 10.
• For additional exercises, such as multiplying or dividing numbers, we often need to rewrite them in scientific notation before performing the operation.