Question

Convert (A8.4E7)16 into Octal and Binary.

Answer 1

Explanation:

Translate the number 168.30639648437510 в octal like this:

the Integer part of the number is divided by the base of the new number system:

168 8

-168 21 8

0 -16 2

5

Перевод чисел из одной системы счисления в другую

the Fractional part of the number is multiplied by the base of the new number system:

Transferring numbers from one number system to another

0. 306396484375*8

2 .45117*8

3 .60938*8

4 .875*8

7 .0*8

the result of the conversion was:

168.30639648437510 = 250.23478

the Final answer: A8.4E716 = 250.23478

now let's make the transfer using the decimal system.

let's do a direct translation from hexadecimal to binary like this:

A8.4E716 = A 8. 4 E 7 = A(=1010) 8(=1000). 4(=0100) E(=1110) 7(=0111) = 10101000.0100111001112

the Final answer: A8.4E716 = 10101000.0100111001112

Fill in the number with missing zeros on the left

let's make a direct translation from binary to post-binary like this:

010101000.0100111001112 = 010 101 000. 010 011 100 111 = 010(=2) 101(=5) 000(=0). 010(=2) 011(=3) 100(=4) 111(=7) = 250.23478

the Final answer: A8.4E716 = 250.23478 I HOPE IT HELP YOU

Answer 2

Given : (A8.4E7)₁₆

To Find : Convert   into Octal and Binary.

Solution:

(A8.4E7)₁₆

Make Each Digit of Hexadecimal in binary of 4 digits

A = 10  in binary  1010

8    in binary   1000

4    in binary    0100

E = 14  in binary  1110

7     in binary     0111

(10101000.010011100111)₂

Now Convert group of 3 digits of binary in Octal

(10101000.010011100111)₂

000 = 0

101  = 5

010  = 2

010  = 2

011 = 3

100 = 4

111 = 7

Hence (250.2347)₈

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