Question

13- Convert the following numbers to the indicated bases. List all intermediate steps.

a- (36459080)10 to octal
b- (20960032010 to hexadecimal
c- (2423233303003040)s to base
25 36459080/8= 4557385 0/8 209600320/16=13100020 + 0/16 (2423233303003040)5 (36459080)10 =( 18 (209600320)10=( 1)16 (2423233303003040)5=( )125

Answer 1

Following are the conversion to this question:

Step-by-step explanation:

In point (a):

`\to (36459080)/(8) = 4557385 + \ \ \ \ \ \ \ \ \ (0)/(8)\\\\\to (4557385)/(8) = 569673 + \ \ \ \ \ \ \ \ \ (1)/(8)\\\\\to (569673)/(8) = 71209+ \ \ \ \ \ \ \ \ \ (1)/(8)\\\\\to (71209)/(8)=8901+\ \ \ \ \ \ \ \ \ \ \ (1)/(8)\\\\\to (8901)/(8)=1112+ \ \ \ \ \ \ \ \ \ \ \ \ (5)/(8)\\\\\to (1112)/(8)=139+ \ \ \ \ \ \ \ \ \ \ (0)/(8)\\\\\to (139)/(8)=17+ \ \ \ \ \ \ \ \ \ \ (3)/(8)\\\\\to (17)/(8)=2+ \ \ \ \ \ \ \ \ \ \ \ \ (1)/(8)\\\\`

`\to (2)/(8)=0+ \ \ \ \ \ \ \ \ \ (2)/(8)\\\\ \bold{(36459080)_(10)=(213051110)_8}`

In point (b):

`\to (20960032010)/(16) = 13100020+ \ \ \ \ \ \ \ \ \ (0)/(16)\\\\\to (13100020)/(16) = 818751+ \ \ \ \ \ \ \ \ \ (4)/(16)\\\\\to (818751)/(16) = 51171+ \ \ \ \ \ \ \ \ \ (15)/(16)\\\\\to (51171)/(16)=3198+\ \ \ \ \ \ \ \ \ \ \ (3)/(16)\\\\\to (3198)/(16)=199+ \ \ \ \ \ \ \ \ \ \ \ \ (14)/(1)\\\\\to (199)/(16)=12+ \ \ \ \ \ \ \ \ \ \ (7)/(16)\\\\\to (12)/(16)=0+ \ \ \ \ \ \ \ \ \ \ (12)/(16)\\\\ \bold{(20960032010)_(10)=(C7E3F40)_(16)}`

In point (c):

`\to (2423233303003040)_s=(88757078520)_(10)\\\\\to (88757078520)/(25)= 3550283140+ \ \ \ \ \ \ \ \ \ (20)/(25)\\\\ \to (3550283140)/(25)= 142011325+ \ \ \ \ \ \ \ \ \ (15)/(25)\\\\\to (142011325)/(25)= 5680453+ \ \ \ \ \ \ \ \ \ (0)/(25)\\\\\to (5680453)/(25)= 227218+ \ \ \ \ \ \ \ \ \ (3)/(25)\\\\\to (227218)/(25)= 9088+ \ \ \ \ \ \ \ \ \ (18)/(25)\\\\\to (9088)/(25)= 363+ \ \ \ \ \ \ \ \ \ (13)/(25)\\\\`

`\to (363)/(25)= 14+ \ \ \ \ \ \ \ \ \ (13)/(25)\\\\\to (14)/(25)= 0+ \ \ \ \ \ \ \ \ \ (14)/(25)\\\\\bold{(2423233303003040)_s=(EDDI30FK)_(25)}`

Symbols of Base 25 are as follows:

`0, 1, 2, 3,4,5,6,7,8,9,A,B,C,D,E,F,G,H,I,J,K,L,M,N, \ and \ O`