More Related Content Similar to Number Systems Similar to Number Systems (20) More from Nasir Jumani (19) 9. 1*60 3 + 57*60 2 + 46*60 + 40*60 0 = 424000 Source: http://www-gap.dcs.st-and.ac.uk/~history 35. Range of integers Suppose that we use a byte (8-bit) to represent an integer (00000000) 2 (00000000) 2 (10000000) 2 =-128 (01111111) 2 =+127 2‘s complement (11111111) 2 (00000000) 2 (10000000) 2 =-127 (01111111) 2 =+127 1‘s Complement (10000000) 2 (00000000) 2 (11111111) 2 =-127 (01111111) 2 =+127 Sign-Magnitude -0 +0 Max. (-) Max. (+) -(2 n-1 )~0 0~2 n-1 -1 2‘s complement -(2 n-1 -1)~0 0~2 n-1 -1 1‘s Complement -(2 n-1 -1)~0 0~2 n-1 -1 Sign-Magnitude Negative numbers Positive numbers 55. Examples N: 4E=00101110 a: 61=01100001 t: 74=01110100 i: 69=01101001 o: 6F=01101111 n: 6E=01101110 a: 61=01100001 l: 6C=01101010 65. For Black/White Images Original 7*7 digitizing 14*14 digitizing 0000000 1111100 … 00000000000000 00000000000000 01111111110000 01111111111000 01111111111110 … 0000 0001 1111 00 … 0000 0000 0000 0000 0000 0000 0000 0111 1111 1100 0001 11111111100001111111111110… (01F0..) 2 (00000007FA1..) 2 68. Extension: Sampling Max. AMP/16 t 1 t 2 t 3 t 4 … 16=2 4 t 1 : 8=(1000) 2 t 2 : 9=(1001) 2 t 3 : 7=(0111) 2 t 4 : 2=(0010) 2 t 1 : 2=(0010) 2 … Quality vs sampling rate
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