Question

En su cuaderno o carpeta de trabajo realice la conversión del sistema de numeración binario a octal según este ejemplo de manera clara y sencilla de los siguientes números. 110002 11011112 110000012 00101102 11002

Answer 1

Following are the conversion from binary to octal numbers:

Step-by-step explanation:

Given values:

`\to (11000)_2= (30)_8 \\\\ \to (1101111)_2 = (157)_8 \\\\ \to (11000001)_2=(301)_8 \\\\ \to (0010110)_2=(26)_8 \\\\ \to (1100)_2= (14)_8`

Steps to convert the binary value to octal value:

First, we convert the given binary value to the decimal point values, for example:

`\to (11000)_2= 1 * 2^4+1 * 2^3+0 * 2^2 + 0 * 2^1+0 * 2^0\\\\`

`= 1 * 16+1 * 8+0 * 4 + 0 * 2+0 * 1\\\\= 16+ 8+0+0+0\\\\= 24\\`

After converting the binary value into a decimal number, then we convert the decimal to octal, to convert the value into octal we divide the value from 8.

`\to (24)_(10)= (30)_8`

similarly, we solve all of the above values.