Liczba A (dwucyfrowa) 69
Liczba B (trzycyfrowa) 752
1 & 2
[tex]69 : 2 = 34 r. 1\\34 : 2 = 17 r. 0\\17 : 2 = 8 r. 1\\8 : 2 = 4 r. 0\\4 : 2 = 2 r. 0\\2 : 2 = 1 r. 0\\1 : 2 = 0 r .1\\\\A: 69_{10}=1000101_2\\\\752 : 2 = 376 r. 0\\376 : 2 = 188 r. 0\\188 : 2 = 94 r. 0\\94 : 2 = 47 r. 0\\47 : 2 = 23 r. 1\\23 : 2 = 11 r. 1\\11 : 2 = 5 r. 1\\5 : 2 = 2 r. 1\\2 : 2 = 1 r. 0\\1 : 2 = 0 r. 1\\\\B: 752_{10} = 1011110000_2[/tex]
3. (dodawanie w zalaczniku)
A + B = A+B
[tex]1011110000_2+1000101_2=1100110101_2[/tex]
[tex]A+B = 1100110101_2[/tex]
4.
[tex]A: \\\\\left[\begin{array}{cccccccccc}2^6&2^5&2^4&2^3&2^2&2^1&2^0\\1&0&0&0&1&0&1\end{array}\right][/tex]
[tex]1000101_2=2^0+2^2+2^6=1+4+64=69_{10}[/tex]
[tex]B:\\\\\left[\begin{array}{cccccccccc}2^{9}&2^8&2^7&2^6&2^5&2^4&2^3&2^2&2^1&2^0\\1&0&1&1&1&1&0&0&0&0\end{array}\right] \\\\1011110000_2=2^4+2^5+2^6+2^7+2^9=16+32+64+128+512=752_{10}[/tex]
[tex]A+B: \\\\\left[\begin{array}{cccccccccc}2^9&2^8&2^7&2^6&2^5&2^4&2^3&2^2&2^1&2^0\\1&1&0&0&1&1&0&1&0&1\end{array}\right] \\\\1100110101_2=2^0+2^2+2^4+2^5+2^8+2^9=1+4+16+32+256+512=821_{10}[/tex]
