Question

What bit patterns are represented by the following hexadecimal patterns? a. 5FD97 b. 610A C. ABCD d. 0100

Answer 1

Answer:

a. 01011111110110010111

b. 0110000100001010

c. 1010101111001101

d. 0000000100000000

Explanation:

In the conversion from hexa decimal to binary, we know that 1 bit of a hexa decimal number is 4 bits of its binary equivalent. so here, in each one bit we will have a binary equivalent bit in group of 4 against each one, starting from LSB:

a. 5FD97:

The binary equivalent of each:

5 = 0101

F = 1111

D = 1101

9 = 1001

7 = 0111

Therefore, the bit pattern for it is:

5FD97 = 01011111110110010111

b. 610A:

6 = 0110

1 = 0001

0 = 0000

A = 1010

Therefore, the bit pattern for it is:

610A = 0110000100001010

c. ABCD:

A = 1010

B = 1011

C = 1100

D = 1101

Therefore, the bit pattern for it is:

ABCD = 1010101111001101

d. 0100:

0 = 0000

1 = 0001

0 = 0000

0 = 0000

Therefore, the bit pattern for it is:

0100 = 0000000100000000