Binary Operations and Arithmetic Overflows
Explore binary operations, 2's complement subtraction, arithmetic overflows, and bit complements in computer science. Understand how to perform calculations on unsigned binary numbers, handle overflow scenarios, and work with complement bits. Dive into ASCII codes and other coding standards to enhance your understanding of digital systems.
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Presentation Transcript
1.11, 1.12, 1.13, 1.14, 1.18, 1.20, 1.23, 1.24, 1.25, 1.32, 1.33 ( 47 )8 = ( 100 111 )2 ( 47 )16 = ( 0100 0111 )2 ( 20 )10
1 1 0 0 1 1 - 0 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 0 1
1.18) Perform subtraction on the given unsigned binary numbers using the 2's complement of the subtrahend. Where the result should be negative, find its 2 s complement and affix: a minus sign. 1 0 0 1 1 1 0 0 0 1 | 1 0 0 1 1 0 1 0 0 0
Overflow 40+30 ( 7 bit signed number ) 0 _ 1 0 1 0 0 0 0 _ 0 1 1 1 1 0
+49: 0 _ 1 0 1 0 0 0 -49: 1 _ 0 1 1 1 1 0 +29: 0 _ 0 1 1 1 0 1 -29: 1 _ 1 0 0 0 1 1
Complement bit 6 A: 100 0001 a: 110 0001
ASCII Code American Standard Code for Information Interchange (ASCII) 18
ASCII Code American Standard Code for Information Interchange (ASCII) 19
ASCII Properties Digits 0 to 9 span Hexadecimal values 3016 to 3916 Upper case A-Z span 4116 to 5A16 Lower case a-z span 6116 to 7A16 Lower to upper case translation (and vice versa) occurs by flipping bit 6.
