Question

Convert from decimal to octal:
A) 23dec
B) 39dec
C) 67dec
D)80dec

Answer 1

To convert from decimal to octal, you can use the repeated division method. Here are the conversions for the given decimal numbers:

A) For 23 in decimal:
\[ 23 \div 8 = 2 \, \text{remainder} \, 7 \]
\[ 2 \div 8 = 0 \, \text{remainder} \, 2 \]

So, 23 in decimal is \( 27_8 \) in octal.

B) For 39 in decimal:
\[ 39 \div 8 = 4 \, \text{remainder} \, 7 \]
\[ 4 \div 8 = 0 \, \text{remainder} \, 4 \]

So, 39 in decimal is \( 47_8 \) in octal.

C) For 67 in decimal:
\[ 67 \div 8 = 8 \, \text{remainder} \, 3 \]
\[ 8 \div 8 = 1 \, \text{remainder} \, 0 \]

So, 67 in decimal is \( 103_8 \) in octal.

D) For 80 in decimal:
\[ 80 \div 8 = 10 \, \text{remainder} \, 0 \]

So, 80 in decimal is \( 100_8 \) in octal.