Question

Sum of octal of 27 and 74

Answer 1

Step-by-step explanation:

Sum of octal of 27 and 74=27+74

=101

Answer 2

Answer:

$(27)_8$ + $(74)_{8}$   $= (123)_8$

Step-by-step explanation:

Octal numbers are the numbers with base 8. The numbers in the octal number system are0,1,2,3,4,5,6,7.

Given two octal numbers 27 and 74

Required to find the sum of 27 and 74

Solution:

First, let us the convert the numbers to the decimal system

$(27)_8$ = $2X8^1 +7X8^0$

= 2×8 +7×1

= 16+7

= 23

$(27)_8$  = $(23)_{10}$

$(74)_{10} = 7X8^1 +4X8^0$

=7×8 +4×1

=56+4

60

$(74)_{8} = 60_{10}$

$(27)_8$ + $(74)_{8}$ = $(23)_{10}$ + $60_{10}$

 $= 83_{10}$

$(27)_8$ + $(74)_{8}$   $= 83_{10}$

Now we need to convert 83 in decimal system to octal system

divide 83 by 8 we get the quotient 10 and remainder 3

divide the quotient 10 again by 8 we get quotient  1 and the remainder 2

divide the quotient 1 again by 8 we get quotient  0 and the remainder 1

by the writing the remainders in the reverse order, we get

$83_{10} = (123)_8$

$(27)_8$ + $(74)_{8}$ = $(23)_{10}$ + $60_{10}$ = $83_{10} = (123)_8$

$(27)_8$ + $(74)_{8}$  $= (123)_8$

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