Question

Hexadecimal and binary numbers questions.

5. (2 pts) Write, in hexadecimal, the largest (unsigned) number that can be stored in 32 bits. 6. (2 pts) How many hexadecimal digits are required to write down a 2048-bit number? 7. (2 pts) How many hexadecimal digits are required to write down a 320-byte number? 8. (2 pts) How many bytes does it take to store a 128-bit number in a computer?

Can someone do number #5 and 6 only? Thank you.

Answer 1

5.

Largest binary number using 32 bits is: 1111 1111 1111 1111 1111 1111 1111 1111 (all 32-bits are 1)

Now, the hexadecimal equivalent of above number is : FFFF FFFF.

Hence, the largest hexadecimal number using 32 bits is: FFFF FFFF.

6.

We for four binary digits we need one hexadecimal digit as listed in following table:

Binary	Hex
0000	0
0001	1
0010	2
0011	3
0100	4
0101	5
0110	6
0111	7
1000	8
1001	9
1010	A
1011	B
1100	C
1101	D
1110	E
1111	F

So, for each 4 bits we need one hexadecimal digit,

So, for 2048 bits, we need 2048/4=512 bits.