examen de conversion numerica

decimal a binario

5242/2=2621             residuo=0
2621/2=1310             residuo=1
1310/2=655                residuo=0
655/2=327                 residuo=1
327/2=163                 residuo=1
163/2=81                    residuo=1
81/2=40                     residuo=1
40/2=20                     residuo=0
20/2=10                    residuo=0
10/2=5 r                    esiduo=1
5/2=2                         residuo=1
2/2=1                        residuo=0
cociente=1

1 0 1 0 0 0 1 1 1 1 0 1 0 = 2^0*0+2^1*1+2^2*0+2^2*0+2^3*1+2^4*1+2^5*1+2^6*1+2^7*0+2^8*0+2^9*0+2^10*1+2^11*0+2^12*1
c b a 9 8 7 6 5 4 3 2 1 0 =2+8+16+32+64+1024+4096
2 2 2 2 2 2 2 2 2 2 2 2 2 =5242

decimal a binario

4988/2=2494                residuo=0
2494/2=1247                residuo=0
1247/2 =623                 residu0=1
623/2= 311                 r esiduo=1
311/2=155                   residuo=1
155/2=77                        residuo= 1
77/2=38                         residuo=1
38/2=19                        residuo=0
19/2=9                         residuo=1
9/2=4                          residuo=1
4/2=2                           residuo=0
2/2=1                            residuo=0
cociente=1

1 0 0 1 1 0 1 1 1 1 1 0 0 =2^0*0+2^1*0+2^2*1+2^3*1+2^4*1+2^5*1+2^6*1+2^7*0+2^8*1+2^9*1+2^10*0+2^11*0+2^12*0
c b a 9 8 7 6 5 4 3 2 1 0=4+8+16+32+64+128+512+4029
2 2 2 2 2 2 2 2 2 2 2 2 2=4988

9782/16=608 residuo=4
608/16=38 residuo=0
38/16=2 residuo=6
cociente=2

2 6 0 4= 16^0*4+16^1*0+16^2*6+16^3*2
3 2 1 0=4+1539+8192+
16 16 16 16=9732

decimal a octal

9732/8=1216        residuo=4
1216/8=1514         residuo=4
1514/8=189            residuo=2
189/8=23               residuo=5
23/8=2=                  residuo=7
cociente=2

2 7 5 2 4 4=8^0*4+8^1*4+8^2*2+8^3*5+8^4*7+8^5*2
5 4 3 2 1 0=4+32+128+8560+32636+32960
8 8 8 8 8 8=9732

de decimal a hexadecimal

11721/16=732          residuo=0
732/16=45               residuo=12
45/16=2                  residuo=13
cociente=2

2 d c 0=16^0*0+16^1*12+16^2*13+16^3*2
3 2 1 0=9+192+3828+8192+
16 16 16 16=11721

9 5 7 9 =10^0*9+10^1*7+10^2*5+10^3*9
3 2 1 0=9+70+50+9000
10 10 10 10=9579

decimal a octal

9579/16=598        residuo=11
598/16=37            residuo=6
37/16=2                 residuo=5
cociente=2

2 5 6 b=16^0*11+16^1*6+16^2*5+16^*2
3 2 1 0=11+96+1280+8192
16161616 = 9572

9579/8=1197             residuo=3
1197/8=149            residuo=5
149/8=18                   residuo=5
18/8=2                    residuo=2
cociente=2

2 2 5 5 3=8^0*3+8^1*5+8^2*5+8^3*2+8^4*2
4 3 2 1 0=3+40+320+1024+81928 8 8 8 8=9572