To convert the decimal number [tex]\( 437_{10} \)[/tex] to its equivalent in octal (base-8), follow these steps:
1. Understand the problem:
- We have a decimal number [tex]\( 437_{10} \)[/tex].
- We need to convert this number to its octal (base-8) representation.
2. Recall that in the octal number system, each digit represents a power of 8, starting from [tex]\( 8^0 \)[/tex] on the right.
3. The octal representation of [tex]\( 437_{10} \)[/tex] is [tex]\( 665_8 \)[/tex].
Hence, [tex]\( 437_{10} = 665_8 \)[/tex].
