In computer how to convert Decimal numbers to Octal numbers explain with examples. Also explain by sending attachments like in photo or pdf file. Like explained in the photo.
Answers
Answer:example
Explanation:
First convert it into binary or hexadecimal number,
= (98)10
= (1x26+1x25+0x24+0x23+0x22+1x21+0x20)10 or (6x161+2x160)10
Because base of binary and hexadecimal are 2 and 16 respectively.
= (1100010)2 or (62)16
Then convert each digit of hexadecimal number into 4 bit of binary number whereas convert each group of 3 bits from least significant in binary number.
= (001 100 010)2 or (0110 0010)2
= (001 100 010)2
= (1 4 2)8
= (142)8
Divide the decimal number by the largest power of eight.
= 136 / 64 = 2.125
So 2 will be first digit or most significant bit (MSB) of octal number.
Now, remainder will be,
= 136 - 642 = 8
Now, divide this remainder by the next power of 8.
= 8 / 8 =1.0
So 1 will be next digit or second most significant bit (MSB) of octal number.
Now, remainder will be,
= 8 - 81 = 0
Now, divide this remainder by the next power of 8.
= 0 / 8 = 0
So, 0 will be last (least significant) bit of required octal number.
Therefore, 210 will be equivalent octal number of given decimal number 136.