(Image-1)

A double-word (Image-1)

• Is a group of two consecutive Words
• A double-word combines 4 bytes, or 8 nibbles, or 32 bits

The bits

• Counted from right to left, start at 0 and end at 31 (Image-1)

(Image-2)

Considered as a group of 32 bits (Image-2)

• The most right bit, bit 0, is called the Low Order bit or LO bit or LOBIT
• The most left bit, bit 31, is called the High Order bit or HI bit or HIBIT
• The other bits are referred to using their positions: bit 1, bit 2, bit 3, etc

Considered as a group of 4 bytes (Image-2)

• The group of the first 8 bits (from bit 0 to bit 7), which is the right byte, is called the Low Order Byte, or LO Byte. It is sometimes referred to as LOBYTE
• The group of the last 8 bits (from bit 24 to bit 31), which is the left byte, is called the High Order Byte, or HI Byte or HIBYTE
• The other bytes are called by their positions

Considered as a group of 2 words (Image-2)

• The group of the right 16 bits, or the right Word, is called the Low Order Word, or LO Word, or LOWORD
• The group of the left 16 bits, or the left Word, is called the High Order Word, or HI Word, or HIWORD

The minimum binary number you can represent with a double-word

• Is 0

The minimum decimal value of a double-word

• Is 0

To find out the maximum decimal value of a double-word

• You can use the base 2 formula giving a 1 value to each bit (B-1):

Example of (B-1)

• 1*2³¹+1*2³⁰+1*2²⁹ + 1*2²⁸ + 1*2²⁷ + 1*2²⁶ + 1*2²⁵ + 1*2²⁴ + 1*2²³ + 1*2²² + 1*2²¹ + 1*2²⁰ + 1*2¹⁹ + 1*2¹⁸ + 1*2¹⁷ + 1*2¹⁶ + 1*2¹⁵ + 1*2¹⁴ + 1*2¹³ + 1*2¹² + 1*2¹¹ + 1*2¹⁰ + 1*2⁹ + 1*2⁸ + 1*2⁷ + 1*2⁶ + 1*2⁵ + 1*2⁴ + 1*2³ + 1*2² + 1*2¹ + 1*2⁰

  = 2,147,483,648 + 1,073,741,824 + 536,870,912 + 268,435,456 + 134,217,728 + 67,108,864 + 33,554,432 + 16,777,216 + 8,388,608 + 4,194,304 + 2,097,152 + 1,048,576 + 524,288 + 262,144 + 131,072 + 65,536 + 32,768 + 16,384 + 8,192 + 4,096 + 2,048 + 1,024 + 512 + 256 + 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1

  = 4,286,578,708

The minimum hexadecimal value you can store in a double-word

• Is 0×00000000000000000000000000000000 which is same as 0×0

To find out the maximum hexadecimal number you can represent with a word

• Replace every group of 4-bits with an f or F (Image-3)

(Image-3)