Signed Integers

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Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 1 Signed Integers The highest bit indicates the sign. 1 = negative, 0 = positive If the highest digit of a hexadecimal integer is > 7, the value is negative. Examples: 8A, C5, A2, 9D 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 0 sign bit Negative Positive

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Signed Integers. The highest bit indicates the sign. 1 = negative, 0 = positive. If the highest digit of a hexadecimal integer is > 7, the value is negative. Examples: 8A, C5, A2, 9D. Forming the Two's Complement. Negative numbers are stored in two's complement notation - PowerPoint PPT Presentation

Transcript of Signed Integers

Page 1: Signed Integers

Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 1

Signed Integers

The highest bit indicates the sign. 1 = negative, 0 = positive

1 1 1 1 0 1 1 0

0 0 0 0 1 0 1 0

sign bit

Negative

Positive

If the highest digit of a hexadecimal integer is > 7, the value is negative. Examples: 8A, C5, A2, 9D

Page 2: Signed Integers

Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 2

Forming the Two's Complement

• Negative numbers are stored in two's complement notation

• Represents the additive Inverse

Note that 00000001 + 11111111 = 00000000

Page 3: Signed Integers

Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 3

Binary Subtraction

• When subtracting A – B, convert B to its two's complement

• Add A to (–B)

0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0

– 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1

0 0 0 0 1 0 0 1

Practice: Subtract 0101 from 1001.

Page 4: Signed Integers

Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 4

Learn How To Do the Following:

• Form the two's complement of a hexadecimal integer• Convert signed binary to decimal• Convert signed decimal to binary• Convert signed decimal to hexadecimal• Convert signed hexadecimal to decimal

Page 5: Signed Integers

Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 5

Ranges of Signed Integers

The highest bit is reserved for the sign. This limits the range:

Practice: What is the largest positive value that may be stored in 20 bits?

Page 6: Signed Integers

Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 6

Character Storage

• Character sets• Standard ASCII (0 – 127)• Extended ASCII (0 – 255)• ANSI (0 – 255)• Unicode (0 – 65,535)

• Null-terminated String• Array of characters followed by a null byte

• Using the ASCII table• back inside cover of book

Page 7: Signed Integers

Irvine, Kip R. Assembly Language for Intel-Based Computers 6/e, 2010. 7

Numeric Data Representation

• pure binary• can be calculated directly

• ASCII binary• string of digits: "01010101"

• ASCII decimal• string of digits: "65"

• ASCII hexadecimal• string of digits: "9C"

next: Boolean Operations


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