Final answer:
The binary number (111110101)2 converts to the hexadecimal number (1F5)16 by grouping the digits into sets of four and converting each set to its hexadecimal equivalent.
Step-by-step explanation:
To convert the binary number (111110101)2 to hexadecimal, we can group the binary digits in sets of four, starting from the right. If there are not enough digits to complete a set of four, we add zeros to the left of the number. In this case, our binary number is grouped as (1 1111 0101).
Now, we convert each group of four binary digits to their hexadecimal equivalent:
- 1 is 1 in hexadecimal
- 1111 translates to F in hexadecimal, since 8+4+2+1=15, and F represents 15 in hexadecimal
- 0101 translates to 5 in hexadecimal, since 4+0+1=5
The complete hexadecimal number is (1F5)16.