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The topics of two's complement binary numbers, packed decimal format, and ibm s/360 addressing. It includes examples of converting two's complement binary integers, understanding ebcdic codes, and base register/displacement addressing. A quiz is scheduled for january 28th.
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**1. Two'scomplement binary numbers
32bit two'scomplement binary integer. Largest value: 2^31 1 Smallest value 2^
12bit unsigned integer: 0 to 2^12 1 or 0 to 4095
32 bits are the same as 8 hexadecimal digits 12 bits are the same as 3 hexadecimal digits.
Examples of 2's comp: eight bit (2 hex digits)
Take the two's complement of 0x4F Convert to binary: 0100 1111 One's Comp: 1011 0000 Add one: 1011 0001 The 2's comp: B 1 0xB
What is +102 as a two's complement 8bit binary integer.
102 = 64 + 32 + 6 = 64 + 32 + 4 + 2 = 0110 0110
What about 23. 23 = 16 + 7 = 16 + 4 + 2 + 1 10111 Expand to 8 bits 0001 0111 One's comp: 1110 1000 Add one: 1110 1001 0xE
Base Register/ Displacement Addressing
four hexadecimal digit. The leftmost digit is the register number The next three hex digits are the 12bit displacement.
The displacement is always nonnegative; an unsigned integer.
3AF0 Register 3 Offset is AF0 10256 + 1516 + 0 = 2800
If register 3 contains 40000, the address is 42800.
