Convert the given decimal, hexadecimal

Convert the given decimal, hexadecimal, or binary number to the other formats at shown in the first example row.

Decimal

Hexadecimal

Binary

0d128

0x80

0b10000000

0d38

[1]

[2]

[3]

0xAC

[4]

[5]

[6]

0b01010010

0d200

[7]

[8]

[9]

[10] 0xB4 + 0x18 =

[11]

Fill in the table for the listed data types for the maximum and minimum potential value.

Type

Size in bytes

Minimum value

Maximum Value

unsigned char

1

0

[12]

(signed) char

1

[13]

[14]

unsigned short (int)

2

0

[15]

(signed) short (int)

2

[16]

[17]

unsigned int/long

4

0

[18]

(signed) int, (signed) long

4

[19]

[20]

The Correct Answer and Explanation is :

Completed Table with Correct Answers:

Conversion Table:

Decimal	Hexadecimal	Binary
0d128	0x80	0b10000000
0d38	0x26	0b00100110
	0xAC	0b10101100
0b01010010	0d82	0x52
0d200	0xC8	0b11001000
0xB4 + 0x18 =	0d204	0b11001100

Data Type Ranges:

Type	Size in bytes	Minimum value	Maximum value
unsigned char	1	0	255
(signed) char	1	-128	127
unsigned short (int)	2	0	65,535
(signed) short (int)	2	-32,768	32,767
unsigned int/long	4	0	4,294,967,295
(signed) int, (signed) long	4	-2,147,483,648	2,147,483,647

---

Explanation (300 Words):

Conversion Table:

The table translates numbers between decimal (base 10), hexadecimal (base 16), and binary (base 2). Conversions follow specific rules:

• Decimal to Hexadecimal: Divide the number by 16 and convert the remainder into hex digits (0-9, A-F).
• Decimal to Binary: Repeatedly divide the number by 2, recording remainders.
• Hexadecimal to Binary: Each hex digit represents four binary bits.

Example:

• For 0d128, the binary equivalent is 10000000 (2⁷ = 128), and the hexadecimal is 80.
• Addition (0xB4 + 0x18): Convert each to decimal (180 + 24 = 204), then convert 204 back to hexadecimal (CC) and binary (11001100).

Data Type Ranges:

Each data type has a fixed size, influencing its value range:

• Unsigned types: These only store positive values, with the range being 0 to 2ⁿ - 1, where n is the number of bits. For example, unsigned char uses 8 bits, so the maximum value is 255.
• Signed types: These store both positive and negative values, using one bit for the sign. The range is -2ⁿ⁻¹ to 2ⁿ⁻¹ - 1. For a signed char, the range is -128 to 127.
• Larger data types like int or long expand this range, as they use more bytes.

Understanding these conversions and ranges is vital for programming, especially in low-level languages like C/C++, where data type boundaries affect computations and memory use.