Page 51 - Computer Science V2.0 Class 11

Step 2: Binary to octal
added one 0
0 1 1 1 0 0 1 1 1

3 4 7
Octal equivalent of (11100111) is (347) 8
2
Alternatively, you may first convert the hexadecimal number to its decimal equivalent and then find the octal
representation of the decimal number.

Find octal representation of (14) , (23) and (81) .
16
16
16

Do the following conversions:
a. (436) to binary
10
b. (11011) to decimal
2
c. (195) to octal
10
d. (706) to decimal
8
e. (942) to hexadecimal
10
f. (A19) to decimal
16
g. (1010110) to octal
2
h. (732) to binary
8
i. (101011100) to hexadecimal
2
j. (F31) to binary
16
k. (474) to hexadecimal
8
l. (C8E) to octal
16
Ans. a. (436) to binary
10
2 436 Remainder
2 218 0

2 109 0
2 54 1
2 27 0
2 13 1
2 6 1

2 3 0
2 1 1
2 0 1

(436) = (110110100) 2
10
b. (11011) to decimal
2
Face Value 1 1 0 1 1
Place value 2 4 2 3 2 2 2 1 2 0

1
= 1 × 2 + 1 × 2 + 0 × 2 + 1 × 2 + 1 × 2 0
4
2
3
Number Systems and Encoding Schemes 37