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Tuesday, December 30, 2014

Numeral System (Sayı Sistemlerinde Dönüştürme)

Binary Numeral System - Base-2

Binary numbers uses only 0 and 1 digits.
B denotes binary prefix.

Examples:

101012 = 10101B = 1×24+0×23+1×22+0×21+1×20 = 16+4+1= 21
101112 = 10111B = 1×24+0×23+1×22+1×21+1×20 = 16+4+2+1= 23
1000112 = 100011B = 1×25+0×24+0×23+0×22+1×21+1×20 =32+2+1= 35

Octal Numeral System - Base-8

Octal numbers uses digits from 0..7.

Examples:

278 = 2×81+7×80 = 16+7 = 23
308 = 3×81+0×80 = 24
43078 = 4×83+3×82+0×81+7×80= 2247

Decimal Numeral System - Base-10

Decimal numbers uses digits from 0..9.
These are the regular numbers that we use.

Example:

253810 = 2×103+5×102+3×101+8×100

Hexadecimal Numeral System - Base-16

Hex numbers uses digits from 0..9 and A..F.
H denotes hex prefix.

Examples:

2816 = 28H = 2×161+8×160 = 40
2F16 = 2FH = 2×161+15×160 = 47
BC1216 = BC12H = 11×163+12×162+1×161+2×160= 48146

Numeral systems conversion table


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