EXAMEN DE SUMA Y RESTA DE BINARIOS

A.
1 1 1 1 1 1 1 0
1 1 1 1 1
+ 1 1 1
----------------
0 0 1 0 1 1 1

1 1 1 1 1 1 1 0 = 2^0*0+2^1*1+2^2*1+2^3*1+2^4*1+2^5*1+2^6*1+2^7*1
7 6 5 4 3 2 1 0 = 2+4+8+16+32+64+128
2 2 2 2 2 2 2 2= 254

1 1 1 1 1 = 2^0*1+2^1*1+2^2*1+2^3*1+2^4*1+2^5*1
4 3 2 1 0 = 1+2+4+8+16
2 2 2 2 2 = 31

1 1 1 = 2^0*1+2^1*1+2^2*1
2 1 0 = 1+2+4
2 2 2 = 7

1 0 0 1 0 0 1 1 1 = 2^0*1+2^1*1+2^2*1+2^3*0+2^4*0+2^5*1+2^6 *0+2^7*0+2^8*1
8 7 6 5 4 3 2 1 0 =1+2+4+32+256
2 2 2 2 2 2 2 2 2 = 295





Resta
1 0 0 0 1 1 0
1 1 1 1 1
___________
0 1 0 0 1 1 1

1 0 0 0 1 1 0 = 2^0*0+2^1*1+2^2*1+2^3*0+2^4*0+2^5*0+2^6*1
6 5 4 3 2 1 0 = 2+4+64
2 2 2 2 2 2 2 = 70

1 1 1 1 1 = 2^0*1+2^1*1+2^2*1+2^3*1+2^4*1
4 3 2 1 0 = 1+2+4+8+16
2 2 2 2 2 = 31

0 1 0 0 1 1 1 =2^0*1+2^1*1+2^2*1+2^3*0+2^4*0+2^5*1+2^6*1
6 5 4 3 2 1 0 = 1+2+4+32
2 2 2 2 2 2 2 = 39

b. suma
1 1 1 1 1 1 1
1 1 1 1
1
____________
1 0 0 1 0 1 1 0

1 1 1 1 1 1 1 = 2 ^0*1+2^1*1+2^2*1+2^3*1+2^4*1+2^5*1+2^6*1
6 5 4 3 2 1 0 = 1+2+4+8+16+32+64
2 2 2 2 2 2 2 = 127

1 1 1 1 = 2^0*1+2^1*1+2^2*1+2^3*1
3 2 1 0 = 1+2+4+8
2 2 2 2 = 15

1 1 1 =2^0*1+2^1*1^2^2^*1
2 1 0 = 1+2+4
2 2 2= 7

1 0 0 1 0 1 1 0 = 2^0*0+2^1*1+2^2*1+2^3*0+2^4*1+2^5*0+2^6*0+2^7*1
7 6 5 4 3 2 1 0 = 1+4+16+128
2 2 2 2 2 2 2 2 = 150
Resta
1 0 0 1 1 0 0
1 1 1 1 1
____________
0 1 0 1 1 0 1

1 0 0 1 1 0 0 =2^0*0+2^1*0+2^2*1+2^3*1+2^4*0+2^5*0+2^6*1
6 5 4 3 2 1 0 = 4 + 8+64
2 2 2 2 2 2 2 =76

1 1 1 1 1 = 2^0*1+2^1*1+2^2*1+2^3*1+2^4*1
4 3 2 1 0= 1+2+4+8+16
2 2 2 2 2 = 31

0 1 0 1 1 0 1 = 2^0*1+2^1*0+2^2*1+2^3*1+2^4*0+2^5*1+2^6*0
6 5 4 3 2 1 0 = 1+4+8+32
2 2 2 2 2 2 2 = 45

c. suma
1 0 0 1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1
______________
1 1 0 0 0 1 1 0 1

1 0 0 1 1 1 1 1 1 =2^0*1+2^1*1+2^2*1+2^3+2^4*1+2^5*1+2^6*0+2^7*0+2^8*1
8 7 6 5 4 3 2 1 0 = 1+24+8+16+32+256
2 2 2 2 2 2 2 2 2 = 319

1 1 1 1 1 1 = 2^0*1+2^1*1+2^2*1+2^3*1+2^4*1+2^5*1
5 4 3 2 1 0 = 1+2+4+8+16+32
2 2 2 2 2 2 = 63

1 1 1 1= 2^0*1+2^1*1+2^2*1+2^3*1
3 2 1 0 = 1+2+4+8
2 2 2 2 =15

1 1 0 0 0 1 1 0 1 = 2^0*1+2^1*0+2^2*1+2^3*1+2^4*0+2^5*0+2^6*0+2^7*1+2^8*1
8 7 6 5 4 3 2 1 0 = 1+4+8+128+256
2 2 2 2 2 2 2 2 2 = 397

resta
1 0 0 0 1 0 0 0
1 1 1 1
-------------------------
0 1 1 1 1 0 0 1

1 0 0 0 1 0 0 0 = 2^0*0+2^1*0+2^2*0+2^3*1+2^4*0+2^5*0+2^6*0+2^7*1
7 6 5 4 3 2 1 0 = 8 + 128
2 2 2 2 2 2 2 2 = 136

1 1 1 1 =2^0*1+2^1*1+2^2*1+2^3*1
3 2 1 0 = 1+2+4+8
2 2 2 2 =15

0 1 1 1 1 0 0 1 = 2^0*1+2^1*0+2^2*0+2^3*1+2^4*1+2^5*1+2^6*1+2^7*0
7 6 5 4 3 2 1 0 = 1+2+16+32+64
2 2 2 2 2 2 2 2 = 121