Question

convert (7606) ^10=(?)^8to decimal to octal numbers sytem

with the help of the the clue give in the upper side..... please solve it step by step​

Answer 1

Explanation:

Decimal system is most familiar number system to the general public. It is base 10 which has only 10 symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Whereas octal system is one of the number systems to represent numbers. It is base 8 which has only 8 symbols: 0, 1, 2, 3, 4, 5, 6, and 7.

Conversion from Decimal to Octal number system

There are various direct or indirect methods to convert a decimal number into octal number. In an indirect method, you need to convert a decimal number into other number system (e.g., binary or hexadecimal), then you can convert into binary number by converting each digit into binary number from hexadecimal and using grouping from octal number system.

Example − Convert decimal number 98 into octal number.

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