Bright Tutorials Bright Tutorials
CBSE Class 11 Computer Science Question 48 of 68

Data Representation and Boolean Logic — Question 19

Back to all questions
19
Question

Question 19

Write binary representation of the following hexadecimal numbers:

(a) 4026

(b) BCA1

(c) 98E

(d) 132.45

Answer

(a) 4026

Hexadecimal
Number		Binary
Equivalent
60110
20010
00000
40100

Therefore, (4026)16 = (0100000000100110)2.

(b) BCA1

Hexadecimal
Number		Binary
Equivalent
10001
A (10)1010
C (12)1100
B (11)1011

B → 1011
C → 1100
A → 1010
1 → 0001

Therefore, (BCA1)16 = (1011110010100001)2.

(c) 98E

Hexadecimal
Number		Binary
Equivalent
E1110
81000
91001

Therefore, (98E)16 = (100110001110)2.

(d) 132.45

Hexadecimal
Number		Binary
Equivalent
50101
40100
20010
30011
10001

Therefore, (132.45)16 = (000100110010.01000101)2.